Details

analyze498.0ms (3.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
21.8%	78%	0.1%	9
49.1%	50.7%	0.1%	10
52.7%	47.2%	0.1%	11
52.7%	47.2%	0.1%	12
71.7%	28.2%	0.1%	13
74.1%	25.8%	0.1%	14

Compiler

Compiled 22 to 19 computations (13.6% saved)

sample26.0ms (0.2%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 43 to 40 computations (7% saved)

simplify167.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

94×	`distribute-rgt-out_binary64_6510`
88×	`associate-/l*_binary64_6502`
57×	`associate-l_binary64_6498`
55×	`*-commutative_binary64_6488`
52×	`associate-/r/_binary64_6503`
46×	`distribute-lft-in_binary64_6506` `associate-r_binary64_6497`
44×	`distribute-rgt-in_binary64_6507`
38×	`associate-+l+_binary64_6490`
32×	`associate-+r+_binary64_6489`
29×	`associate-/r*_binary64_6501`
27×	`+-commutative_binary64_6487`
24×	`distribute-lft-out_binary64_6508`
20×	`associate-*r/_binary64_6499`
12×	`associate-*l/_binary64_6500`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_6820` `erf-erfc_binary64_6819` `erf-odd_binary64_6818` `if-if-and-not_binary64_6817` `if-if-and_binary64_6816` `if-if-or-not_binary64_6815` `if-if-or_binary64_6814` `if-not_binary64_6813` `if-same_binary64_6812` `if-false_binary64_6811` `if-true_binary64_6810` `not-gte_binary64_6809` `not-lte_binary64_6808` `not-gt_binary64_6807` `not-lt_binary64_6806` `gte-same_binary64_6805` `lte-same_binary64_6804` `gt-same_binary64_6803` `lt-same_binary64_6802` `sinh---cosh_binary64_6749` `sinh-+-cosh_binary64_6748` `sinh-cosh_binary64_6747` `tanh-def-c_binary64_6746` `tanh-def-b_binary64_6745` `tanh-def-a_binary64_6744` `cosh-def_binary64_6743` `sinh-def_binary64_6742` `tan-neg_binary64_6689` `cos-neg_binary64_6688` `sin-neg_binary64_6687` `tan-0_binary64_6686` `cos-0_binary64_6685` `sin-0_binary64_6684` `hang-m-tan_binary64_6683` `hang-p-tan_binary64_6682` `hang-m0-tan_binary64_6681` `hang-p0-tan_binary64_6680` `hang-0m-tan_binary64_6679` `hang-0p-tan_binary64_6678` `tan-+PI/2_binary64_6677` `tan-+PI_binary64_6676` `tan-PI_binary64_6675` `tan-PI/3_binary64_6674` `tan-PI/4_binary64_6673` `tan-PI/6_binary64_6672` `cos-+PI/2_binary64_6671` `cos-+PI_binary64_6670` `cos-PI_binary64_6669` `cos-PI/2_binary64_6668` `cos-PI/3_binary64_6667` `cos-PI/4_binary64_6666` `cos-PI/6_binary64_6665` `sin-+PI/2_binary64_6664` `sin-+PI_binary64_6663` `sin-PI_binary64_6662` `sin-PI/2_binary64_6661` `sin-PI/3_binary64_6660` `sin-PI/4_binary64_6659` `sin-PI/6_binary64_6658` `sub-1-sin_binary64_6657` `sub-1-cos_binary64_6656` `-1-add-sin_binary64_6655` `-1-add-cos_binary64_6654` `1-sub-sin_binary64_6653` `1-sub-cos_binary64_6652` `cos-sin-sum_binary64_6651` `log-E_binary64_6647` `log-pow_binary64_6646` `log-rec_binary64_6645` `log-div_binary64_6644` `log-prod_binary64_6643` `pow-base-0_binary64_6641` `unpow1/3_binary64_6624` `unpow3_binary64_6623` `unpow2_binary64_6622` `unpow1/2_binary64_6621` `pow-plus_binary64_6620` `exp-to-pow_binary64_6619` `pow-base-1_binary64_6617` `unpow0_binary64_6616` `unpow1_binary64_6615` `unpow-1_binary64_6614` `exp-lft-cube_binary64_6613` `exp-lft-sqr_binary64_6612` `exp-cbrt_binary64_6611` `exp-sqrt_binary64_6610` `exp-prod_binary64_6609` `div-exp_binary64_6608` `rec-exp_binary64_6607` `prod-exp_binary64_6606` `exp-diff_binary64_6605` `exp-neg_binary64_6604` `exp-sum_binary64_6603` `e-exp-1_binary64_6602` `1-exp_binary64_6601` `exp-1-e_binary64_6600` `exp-0_binary64_6599` `rem-log-exp_binary64_6598` `rem-exp-log_binary64_6597` `cube-unmult_binary64_6594` `cube-mult_binary64_6587` `cube-div_binary64_6586` `cube-prod_binary64_6585` `cube-neg_binary64_6584` `rem-3cbrt-rft_binary64_6583` `rem-3cbrt-lft_binary64_6582` `rem-cbrt-cube_binary64_6581` `rem-cube-cbrt_binary64_6580` `sqr-abs_binary64_6572` `sqr-neg_binary64_6571` `rem-sqrt-square_binary64_6570` `rem-square-sqrt_binary64_6569` `times-frac_binary64_6563` `div-sub_binary64_6562` `neg-mul-1_binary64_6553` `neg-sub0_binary64_6552` `unsub-neg_binary64_6551` `sub-neg_binary64_6550` `mul-1-neg_binary64_6549` `/-rgt-identity_binary64_6548` `-rgt-identity_binary64_6547` `-lft-identity_binary64_6546` `remove-double-neg_binary64_6545` `sub0-neg_binary64_6544` `--rgt-identity_binary64_6543` `+-rgt-identity_binary64_6542` `+-lft-identity_binary64_6541` `mul0-rgt_binary64_6540` `mul0-lft_binary64_6539` `div0_binary64_6538` `*-inverses_binary64_6537` `+-inverses_binary64_6536` `lft-mult-inverse_binary64_6535` `rgt-mult-inverse_binary64_6534` `remove-double-div_binary64_6533` `pow-sqr_binary64_6530` `sqr-pow_binary64_6529` `difference-of-sqr--1_binary64_6528` `difference-of-sqr-1_binary64_6527` `difference-of-squares_binary64_6526` `unswap-sqr_binary64_6525` `swap-sqr_binary64_6524` `cancel-sign-sub-inv_binary64_6523` `cancel-sign-sub_binary64_6522` `distribute-neg-frac_binary64_6521` `distribute-frac-neg_binary64_6520` `distribute-neg-out_binary64_6519` `distribute-neg-in_binary64_6518` `distribute-rgt-neg-out_binary64_6517` `distribute-lft-neg-out_binary64_6516` `distribute-rgt-neg-in_binary64_6515` `distribute-lft-neg-in_binary64_6514` `distribute-rgt1-in_binary64_6513` `distribute-lft1-in_binary64_6512` `distribute-rgt-out--_binary64_6511` `distribute-lft-out--_binary64_6509` `count-2_binary64_6505` `associate-/l/_binary64_6504` `associate--r-_binary64_6496` `associate--l-_binary64_6495` `associate--l+_binary64_6494` `associate--r+_binary64_6493` `associate-+l-_binary64_6492` `associate-+r-_binary64_6491`

Counts

1 → 3

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	31
1	36	31
2	65	31
3	120	31
4	195	31
5	252	31
6	310	31
7	383	31
8	463	31
9	456	31
10	458	31

prune10.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

18.9b

Counts

4 → 3

Compiler

Compiled 126 to 102 computations (19% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (+.f64 z 1692356830115869/281474976710656))
0.0b	(.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992))
0.3b	(/.f64 y (/.f64 (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248) (+.f64 (.f64 z (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984)))
18.6b	(/.f64 (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248) (+.f64 (.f64 z (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984))

rewrite431.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

18.8b

Rules

90×	`times-frac_binary64_6563`
64×	`add-sqr-sqrt_binary64_6579`
62×	`*-un-lft-identity_binary64_6557`
60×	`add-cube-cbrt_binary64_6592`
18×	`associate-/r*_binary64_6501`
15×	`add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593`
11×	`associate-/r/_binary64_6503`
8×	`pow1_binary64_6618` `flip3-+_binary64_6560` `flip-+_binary64_6531`
7×	`associate-r_binary64_6497`
6×	`div-inv_binary64_6554` `associate-/l_binary64_6502` `associate-l*_binary64_6498`
4×	`div-exp_binary64_6608` `add-log-exp_binary64_6596` `cbrt-undiv_binary64_6591` `associate-*r/_binary64_6499`
2×	`frac-2neg_binary64_6568` `clear-num_binary64_6556` `associate-/l/_binary64_6504` `pow-prod-down_binary64_6628` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `unswap-sqr_binary64_6525` `distribute-rgt-in_binary64_6507` `distribute-lft-in_binary64_6506` `*-commutative_binary64_6488`
1×	`distribute-lft-out_binary64_6508`

Counts

4 → 154

Calls

4 calls:

18.0ms	(/.f64 (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248) (+.f64 (.f64 z (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984))
16.0ms	(/.f64 y (/.f64 (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248) (+.f64 (.f64 z (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984)))
7.0ms	(.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992))
6.0ms	(*.f64 z (+.f64 z 1692356830115869/281474976710656))

Compiler

Compiled 5753 to 4237 computations (26.4% saved)

series513.0ms (3.6%)

Error

0.0b

Counts

4 → 35

Calls

4 calls:

272.0ms	(/.f64 y (/.f64 (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248) (+.f64 (.f64 z (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984)))
77.0ms	(.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992))
65.0ms	(*.f64 z (+.f64 z 1692356830115869/281474976710656))
58.0ms	(/.f64 (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248) (+.f64 (.f64 z (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984))

Compiler

Compiled 1453 to 1199 computations (17.5% saved)

simplify1.3s (9%)

Algorithm

1×	egg-herbie

Rules

566×	`associate-/r/_binary64_6503`
353×	`associate-/r*_binary64_6501`
254×	`associate-+l+_binary64_6490`
241×	`distribute-rgt-in_binary64_6507`
227×	`distribute-lft-in_binary64_6506`
206×	`associate-l_binary64_6498`
197×	`cancel-sign-sub-inv_binary64_6523`
177×	`associate-r_binary64_6497`
169×	`*-commutative_binary64_6488`
149×	`associate-/l/_binary64_6504`
139×	`associate-/l*_binary64_6502`
104×	`associate-*l/_binary64_6500`
90×	`distribute-rgt-neg-in_binary64_6515`
80×	`associate--r+_binary64_6493`
77×	`distribute-lft-neg-in_binary64_6514`
76×	`sub-neg_binary64_6550`
69×	`times-frac_binary64_6563`
61×	`associate-*r/_binary64_6499`
60×	`*-rgt-identity_binary64_6547`
54×	`unswap-sqr_binary64_6525`
50×	`sqr-pow_binary64_6529`
49×	`associate--l+_binary64_6494`
47×	`neg-mul-1_binary64_6553`
46×	`neg-sub0_binary64_6552` `+-commutative_binary64_6487`
41×	`exp-prod_binary64_6609`
40×	`distribute-neg-in_binary64_6518` `associate-+r-_binary64_6491`
36×	`/-rgt-identity_binary64_6548` `*-lft-identity_binary64_6546`
32×	`associate-+l-_binary64_6492`
28×	`distribute-neg-frac_binary64_6521`
25×	`distribute-rgt-out_binary64_6510`
23×	`cube-prod_binary64_6585`
22×	`distribute-lft-neg-out_binary64_6516`
20×	`log-prod_binary64_6643` `pow-sqr_binary64_6530`
18×	`swap-sqr_binary64_6524` `distribute-rgt-out--_binary64_6511`
16×	`div-exp_binary64_6608` `prod-exp_binary64_6606` `exp-sum_binary64_6603` `unsub-neg_binary64_6551`
15×	`div-sub_binary64_6562`
14×	`log-div_binary64_6644`
11×	`distribute-lft-out_binary64_6508`
9×	`cube-unmult_binary64_6594` `distribute-rgt-neg-out_binary64_6517`
8×	`unpow3_binary64_6623` `pow-plus_binary64_6620` `cube-div_binary64_6586` `associate-+r+_binary64_6489`
7×	`cube-mult_binary64_6587`
5×	`distribute-lft-out--_binary64_6509`
4×	`rec-exp_binary64_6607` `difference-of-squares_binary64_6526`
3×	`remove-double-div_binary64_6533` `associate--l-_binary64_6495`
2×	`associate--r-_binary64_6496`
1×	`log-pow_binary64_6646` `log-rec_binary64_6645` `unpow2_binary64_6622` `unpow1_binary64_6615` `exp-sqrt_binary64_6610` `1-exp_binary64_6601` `exp-1-e_binary64_6600` `rem-log-exp_binary64_6598` `remove-double-neg_binary64_6545` `div0_binary64_6538` `*-inverses_binary64_6537` `count-2_binary64_6505`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_6820` `erf-erfc_binary64_6819` `erf-odd_binary64_6818` `if-if-and-not_binary64_6817` `if-if-and_binary64_6816` `if-if-or-not_binary64_6815` `if-if-or_binary64_6814` `if-not_binary64_6813` `if-same_binary64_6812` `if-false_binary64_6811` `if-true_binary64_6810` `not-gte_binary64_6809` `not-lte_binary64_6808` `not-gt_binary64_6807` `not-lt_binary64_6806` `gte-same_binary64_6805` `lte-same_binary64_6804` `gt-same_binary64_6803` `lt-same_binary64_6802` `sinh---cosh_binary64_6749` `sinh-+-cosh_binary64_6748` `sinh-cosh_binary64_6747` `tanh-def-c_binary64_6746` `tanh-def-b_binary64_6745` `tanh-def-a_binary64_6744` `cosh-def_binary64_6743` `sinh-def_binary64_6742` `tan-neg_binary64_6689` `cos-neg_binary64_6688` `sin-neg_binary64_6687` `tan-0_binary64_6686` `cos-0_binary64_6685` `sin-0_binary64_6684` `hang-m-tan_binary64_6683` `hang-p-tan_binary64_6682` `hang-m0-tan_binary64_6681` `hang-p0-tan_binary64_6680` `hang-0m-tan_binary64_6679` `hang-0p-tan_binary64_6678` `tan-+PI/2_binary64_6677` `tan-+PI_binary64_6676` `tan-PI_binary64_6675` `tan-PI/3_binary64_6674` `tan-PI/4_binary64_6673` `tan-PI/6_binary64_6672` `cos-+PI/2_binary64_6671` `cos-+PI_binary64_6670` `cos-PI_binary64_6669` `cos-PI/2_binary64_6668` `cos-PI/3_binary64_6667` `cos-PI/4_binary64_6666` `cos-PI/6_binary64_6665` `sin-+PI/2_binary64_6664` `sin-+PI_binary64_6663` `sin-PI_binary64_6662` `sin-PI/2_binary64_6661` `sin-PI/3_binary64_6660` `sin-PI/4_binary64_6659` `sin-PI/6_binary64_6658` `sub-1-sin_binary64_6657` `sub-1-cos_binary64_6656` `-1-add-sin_binary64_6655` `-1-add-cos_binary64_6654` `1-sub-sin_binary64_6653` `1-sub-cos_binary64_6652` `cos-sin-sum_binary64_6651` `log-E_binary64_6647` `pow-base-0_binary64_6641` `unpow1/3_binary64_6624` `unpow1/2_binary64_6621` `exp-to-pow_binary64_6619` `pow-base-1_binary64_6617` `unpow0_binary64_6616` `unpow-1_binary64_6614` `exp-lft-cube_binary64_6613` `exp-lft-sqr_binary64_6612` `exp-cbrt_binary64_6611` `exp-diff_binary64_6605` `exp-neg_binary64_6604` `e-exp-1_binary64_6602` `exp-0_binary64_6599` `rem-exp-log_binary64_6597` `cube-neg_binary64_6584` `rem-3cbrt-rft_binary64_6583` `rem-3cbrt-lft_binary64_6582` `rem-cbrt-cube_binary64_6581` `rem-cube-cbrt_binary64_6580` `sqr-abs_binary64_6572` `sqr-neg_binary64_6571` `rem-sqrt-square_binary64_6570` `rem-square-sqrt_binary64_6569` `mul-1-neg_binary64_6549` `sub0-neg_binary64_6544` `--rgt-identity_binary64_6543` `+-rgt-identity_binary64_6542` `+-lft-identity_binary64_6541` `mul0-rgt_binary64_6540` `mul0-lft_binary64_6539` `+-inverses_binary64_6536` `lft-mult-inverse_binary64_6535` `rgt-mult-inverse_binary64_6534` `difference-of-sqr--1_binary64_6528` `difference-of-sqr-1_binary64_6527` `cancel-sign-sub_binary64_6522` `distribute-frac-neg_binary64_6520` `distribute-neg-out_binary64_6519` `distribute-rgt1-in_binary64_6513` `distribute-lft1-in_binary64_6512`

Counts

189 → 542

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	319	6385
1	806	6028
2	3241	5953

prune2.4s (16.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	539	3	542
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	541	4	545

Error

0.0b

Counts

545 → 4

Compiler

Compiled 22328 to 16242 computations (27.3% saved)

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y 5029535718965825/60354428627589976))
0.2b	(*.f64 y 5029535718965825/60354428627589976)

rewrite29.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_6579`
4×	`pow1_binary64_6618` `add-exp-log_binary64_6595` `add-log-exp_binary64_6596` `add-cbrt-cube_binary64_6593` `add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
3×	`associate-l_binary64_6498` `associate-r_binary64_6497`
1×	`pow-prod-down_binary64_6628` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `unswap-sqr_binary64_6525` `*-commutative_binary64_6488` `sum-log_binary64_6648` `flip3-+_binary64_6560` `flip-+_binary64_6531` `+-commutative_binary64_6487`

Counts

2 → 29

Calls

2 calls:

3.0ms	(*.f64 y 5029535718965825/60354428627589976)
3.0ms	(+.f64 x (*.f64 y 5029535718965825/60354428627589976))

Compiler

Compiled 308 to 216 computations (29.9% saved)

series110.0ms (0.8%)

Error

0.0b

Counts

2 → 15

Calls

2 calls:

80.0ms	(+.f64 x (*.f64 y 5029535718965825/60354428627589976))
22.0ms	(*.f64 y 5029535718965825/60354428627589976)

Compiler

Compiled 159 to 168 computations (-5.7% saved)

simplify318.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

567×	`distribute-rgt-in_binary64_6507`
476×	`distribute-lft-in_binary64_6506`
349×	`distribute-rgt-out--_binary64_6511`
214×	`unswap-sqr_binary64_6525`
191×	`distribute-rgt-out_binary64_6510`
185×	`associate-l_binary64_6498`
178×	`*-commutative_binary64_6488`
171×	`associate-*l/_binary64_6500`
156×	`unsub-neg_binary64_6551`
153×	`sub-neg_binary64_6550`
147×	`associate-*r/_binary64_6499`
141×	`associate-+l-_binary64_6492`
140×	`distribute-lft-out--_binary64_6509`
135×	`associate-r_binary64_6497`
113×	`sqr-pow_binary64_6529`
110×	`cancel-sign-sub-inv_binary64_6523`
108×	`distribute-rgt-neg-in_binary64_6515`
105×	`+-commutative_binary64_6487`
81×	`associate-+l+_binary64_6490`
78×	`*-rgt-identity_binary64_6547`
76×	`associate-+r+_binary64_6489`
75×	`associate-/l/_binary64_6504`
74×	`*-lft-identity_binary64_6546`
72×	`pow-sqr_binary64_6530` `associate-/l*_binary64_6502`
62×	`distribute-rgt-neg-out_binary64_6517`
61×	`distribute-lft-out_binary64_6508` `associate-+r-_binary64_6491`
59×	`distribute-lft-neg-in_binary64_6514`
57×	`distribute-lft-neg-out_binary64_6516`
51×	`log-prod_binary64_6643`
48×	`pow-plus_binary64_6620` `associate--r+_binary64_6493`
45×	`distribute-neg-in_binary64_6518` `associate--l-_binary64_6495`
44×	`log-pow_binary64_6646` `times-frac_binary64_6563`
43×	`neg-mul-1_binary64_6553`
37×	`neg-sub0_binary64_6552` `distribute-rgt1-in_binary64_6513`
36×	`exp-prod_binary64_6609` `associate-/r/_binary64_6503`
33×	`associate--r-_binary64_6496`
32×	`swap-sqr_binary64_6524`
30×	`mul0-lft_binary64_6539`
29×	`mul0-rgt_binary64_6540`
28×	`log-div_binary64_6644` `cancel-sign-sub_binary64_6522`
25×	`sub0-neg_binary64_6544`
19×	`distribute-neg-out_binary64_6519` `associate-/r*_binary64_6501`
17×	`cube-prod_binary64_6585`
15×	`exp-to-pow_binary64_6619`
13×	`remove-double-neg_binary64_6545`
11×	`+-rgt-identity_binary64_6542`
10×	`exp-sum_binary64_6603` `associate--l+_binary64_6494`
9×	`unpow3_binary64_6623` `count-2_binary64_6505`
8×	`cube-unmult_binary64_6594`
6×	`--rgt-identity_binary64_6543`
5×	`pow-base-1_binary64_6617`
4×	`/-rgt-identity_binary64_6548`
3×	`log-rec_binary64_6645` `exp-diff_binary64_6605` `cube-mult_binary64_6587` `cube-div_binary64_6586` `div-sub_binary64_6562` `difference-of-squares_binary64_6526`
2×	`exp-sqrt_binary64_6610` `prod-exp_binary64_6606`
1×	`exp-lft-sqr_binary64_6612` `1-exp_binary64_6601` `exp-1-e_binary64_6600` `rem-log-exp_binary64_6598` `cube-neg_binary64_6584` `sqr-neg_binary64_6571` `+-lft-identity_binary64_6541` `*-inverses_binary64_6537` `+-inverses_binary64_6536` `rgt-mult-inverse_binary64_6534` `difference-of-sqr--1_binary64_6528` `distribute-neg-frac_binary64_6521` `distribute-frac-neg_binary64_6520` `distribute-lft1-in_binary64_6512`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_6820` `erf-erfc_binary64_6819` `erf-odd_binary64_6818` `if-if-and-not_binary64_6817` `if-if-and_binary64_6816` `if-if-or-not_binary64_6815` `if-if-or_binary64_6814` `if-not_binary64_6813` `if-same_binary64_6812` `if-false_binary64_6811` `if-true_binary64_6810` `not-gte_binary64_6809` `not-lte_binary64_6808` `not-gt_binary64_6807` `not-lt_binary64_6806` `gte-same_binary64_6805` `lte-same_binary64_6804` `gt-same_binary64_6803` `lt-same_binary64_6802` `sinh---cosh_binary64_6749` `sinh-+-cosh_binary64_6748` `sinh-cosh_binary64_6747` `tanh-def-c_binary64_6746` `tanh-def-b_binary64_6745` `tanh-def-a_binary64_6744` `cosh-def_binary64_6743` `sinh-def_binary64_6742` `tan-neg_binary64_6689` `cos-neg_binary64_6688` `sin-neg_binary64_6687` `tan-0_binary64_6686` `cos-0_binary64_6685` `sin-0_binary64_6684` `hang-m-tan_binary64_6683` `hang-p-tan_binary64_6682` `hang-m0-tan_binary64_6681` `hang-p0-tan_binary64_6680` `hang-0m-tan_binary64_6679` `hang-0p-tan_binary64_6678` `tan-+PI/2_binary64_6677` `tan-+PI_binary64_6676` `tan-PI_binary64_6675` `tan-PI/3_binary64_6674` `tan-PI/4_binary64_6673` `tan-PI/6_binary64_6672` `cos-+PI/2_binary64_6671` `cos-+PI_binary64_6670` `cos-PI_binary64_6669` `cos-PI/2_binary64_6668` `cos-PI/3_binary64_6667` `cos-PI/4_binary64_6666` `cos-PI/6_binary64_6665` `sin-+PI/2_binary64_6664` `sin-+PI_binary64_6663` `sin-PI_binary64_6662` `sin-PI/2_binary64_6661` `sin-PI/3_binary64_6660` `sin-PI/4_binary64_6659` `sin-PI/6_binary64_6658` `sub-1-sin_binary64_6657` `sub-1-cos_binary64_6656` `-1-add-sin_binary64_6655` `-1-add-cos_binary64_6654` `1-sub-sin_binary64_6653` `1-sub-cos_binary64_6652` `cos-sin-sum_binary64_6651` `log-E_binary64_6647` `pow-base-0_binary64_6641` `unpow1/3_binary64_6624` `unpow2_binary64_6622` `unpow1/2_binary64_6621` `unpow0_binary64_6616` `unpow1_binary64_6615` `unpow-1_binary64_6614` `exp-lft-cube_binary64_6613` `exp-cbrt_binary64_6611` `div-exp_binary64_6608` `rec-exp_binary64_6607` `exp-neg_binary64_6604` `e-exp-1_binary64_6602` `exp-0_binary64_6599` `rem-exp-log_binary64_6597` `rem-3cbrt-rft_binary64_6583` `rem-3cbrt-lft_binary64_6582` `rem-cbrt-cube_binary64_6581` `rem-cube-cbrt_binary64_6580` `sqr-abs_binary64_6572` `rem-sqrt-square_binary64_6570` `rem-square-sqrt_binary64_6569` `mul-1-neg_binary64_6549` `div0_binary64_6538` `lft-mult-inverse_binary64_6535` `remove-double-div_binary64_6533` `difference-of-sqr-1_binary64_6527`

Counts

44 → 50

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	341
1	133	326
2	361	326
3	823	326
4	1521	326
5	2903	326
6	4864	326

prune49.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	50	4	54

Error

0.0b

Counts

54 → 4

Compiler

Compiled 740 to 507 computations (31.5% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248) (+.f64 (.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984))) (cbrt.f64 (/.f64 (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248) (+.f64 (.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984)))) (cbrt.f64 (/.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656))) (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (*.f64 z 4992947066835229/72057594037927936)))))))
18.6b	(/.f64 (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248) (+.f64 (.f64 z (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984))
18.6b	(/.f64 (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248) (+.f64 (.f64 z (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984))
18.6b	(/.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656))) (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (*.f64 z 4992947066835229/72057594037927936)))))

rewrite984.0ms (6.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

40×	`add-sqr-sqrt_binary64_6579`
37×	`times-frac_binary64_6563`
36×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
18×	`associate-r_binary64_6497`
17×	`cbrt-prod_binary64_6588`
15×	`add-exp-log_binary64_6595`
12×	`cbrt-div_binary64_6589`
11×	`add-cbrt-cube_binary64_6593`
9×	`pow1_binary64_6618` `associate-/l_binary64_6502` `associate-/r_binary64_6501`
8×	`associate-/r/_binary64_6503`
7×	`flip3-+_binary64_6560` `flip-+_binary64_6531`
6×	`associate-/l/_binary64_6504`
5×	`pow-prod-down_binary64_6628` `frac-times_binary64_6567` `associate-*l/_binary64_6500`
4×	`add-log-exp_binary64_6596` `div-inv_binary64_6554`
3×	`div-exp_binary64_6608` `cbrt-undiv_binary64_6591` `frac-2neg_binary64_6568` `clear-num_binary64_6556` `pow1/3_binary64_6639` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `associate-*r/_binary64_6499` `unswap-sqr_binary64_6525`
1×	`associate-l_binary64_6498` `*-commutative_binary64_6488`

Counts

4 → 137

Calls

4 calls:

40.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248) (+.f64 (.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984))) (cbrt.f64 (/.f64 (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248) (+.f64 (.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984)))) (cbrt.f64 (/.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656))) (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (*.f64 z 4992947066835229/72057594037927936)))))))
15.0ms	(/.f64 (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248) (+.f64 (.f64 z (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984))
15.0ms	(/.f64 (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248) (+.f64 (.f64 z (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984))
9.0ms	(/.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656))) (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (*.f64 z 4992947066835229/72057594037927936)))))

Compiler

Compiled 10640 to 8279 computations (22.2% saved)

series549.0ms (3.8%)

Error

0.0b

Counts

4 → 40

Calls

4 calls:

210.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248) (+.f64 (.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984))) (cbrt.f64 (/.f64 (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248) (+.f64 (.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984)))) (cbrt.f64 (/.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656))) (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (*.f64 z 4992947066835229/72057594037927936)))))))
86.0ms	(/.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656))) (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (*.f64 z 4992947066835229/72057594037927936)))))
80.0ms	(/.f64 (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248) (+.f64 (.f64 z (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984))
79.0ms	(/.f64 (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248) (+.f64 (.f64 z (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984))

Compiler

Compiled 3749 to 3100 computations (17.3% saved)

simplify1.0s (7%)

Algorithm

1×	egg-herbie

Rules

720×	`distribute-rgt-in_binary64_6507`
696×	`distribute-lft-in_binary64_6506`
247×	`times-frac_binary64_6563`
203×	`associate-/l*_binary64_6502`
166×	`cancel-sign-sub-inv_binary64_6523`
155×	`associate-l_binary64_6498`
121×	`associate-/r*_binary64_6501`
118×	`associate-r_binary64_6497`
109×	`*-commutative_binary64_6488`
87×	`associate-/l/_binary64_6504`
83×	`distribute-rgt-neg-in_binary64_6515`
65×	`sub-neg_binary64_6550`
62×	`distribute-lft-neg-in_binary64_6514`
58×	`associate-/r/_binary64_6503`
47×	`distribute-neg-in_binary64_6518`
41×	`neg-mul-1_binary64_6553`
40×	`neg-sub0_binary64_6552`
38×	`*-rgt-identity_binary64_6547`
36×	`sqr-pow_binary64_6529`
33×	`associate-*r/_binary64_6499`
31×	`+-commutative_binary64_6487`
28×	`associate-*l/_binary64_6500`
27×	`distribute-lft-neg-out_binary64_6516`
21×	`distribute-neg-frac_binary64_6521`
20×	`unswap-sqr_binary64_6525` `distribute-rgt-out_binary64_6510`
18×	`*-lft-identity_binary64_6546` `distribute-rgt-out--_binary64_6511` `associate--l+_binary64_6494`
15×	`log-prod_binary64_6643` `unsub-neg_binary64_6551` `pow-sqr_binary64_6530`
14×	`swap-sqr_binary64_6524` `associate--r+_binary64_6493` `associate-+l+_binary64_6490`
11×	`exp-prod_binary64_6609`
10×	`cube-prod_binary64_6585`
9×	`log-div_binary64_6644` `div-exp_binary64_6608` `prod-exp_binary64_6606` `cube-unmult_binary64_6594` `/-rgt-identity_binary64_6548` `distribute-rgt-neg-out_binary64_6517`
8×	`distribute-lft-out_binary64_6508`
6×	`distribute-lft-out--_binary64_6509` `associate-+r+_binary64_6489`
5×	`unpow3_binary64_6623` `pow-plus_binary64_6620` `cube-mult_binary64_6587`
4×	`cube-div_binary64_6586` `div-sub_binary64_6562`
3×	`log-pow_binary64_6646` `rec-exp_binary64_6607` `rem-3cbrt-rft_binary64_6583` `distribute-rgt1-in_binary64_6513`
2×	`difference-of-squares_binary64_6526` `associate-+l-_binary64_6492` `associate-+r-_binary64_6491`
1×	`log-rec_binary64_6645` `unpow1/3_binary64_6624` `unpow2_binary64_6622` `unpow1_binary64_6615` `exp-sqrt_binary64_6610` `1-exp_binary64_6601` `exp-1-e_binary64_6600` `rem-log-exp_binary64_6598` `*-inverses_binary64_6537` `count-2_binary64_6505`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_6820` `erf-erfc_binary64_6819` `erf-odd_binary64_6818` `if-if-and-not_binary64_6817` `if-if-and_binary64_6816` `if-if-or-not_binary64_6815` `if-if-or_binary64_6814` `if-not_binary64_6813` `if-same_binary64_6812` `if-false_binary64_6811` `if-true_binary64_6810` `not-gte_binary64_6809` `not-lte_binary64_6808` `not-gt_binary64_6807` `not-lt_binary64_6806` `gte-same_binary64_6805` `lte-same_binary64_6804` `gt-same_binary64_6803` `lt-same_binary64_6802` `sinh---cosh_binary64_6749` `sinh-+-cosh_binary64_6748` `sinh-cosh_binary64_6747` `tanh-def-c_binary64_6746` `tanh-def-b_binary64_6745` `tanh-def-a_binary64_6744` `cosh-def_binary64_6743` `sinh-def_binary64_6742` `tan-neg_binary64_6689` `cos-neg_binary64_6688` `sin-neg_binary64_6687` `tan-0_binary64_6686` `cos-0_binary64_6685` `sin-0_binary64_6684` `hang-m-tan_binary64_6683` `hang-p-tan_binary64_6682` `hang-m0-tan_binary64_6681` `hang-p0-tan_binary64_6680` `hang-0m-tan_binary64_6679` `hang-0p-tan_binary64_6678` `tan-+PI/2_binary64_6677` `tan-+PI_binary64_6676` `tan-PI_binary64_6675` `tan-PI/3_binary64_6674` `tan-PI/4_binary64_6673` `tan-PI/6_binary64_6672` `cos-+PI/2_binary64_6671` `cos-+PI_binary64_6670` `cos-PI_binary64_6669` `cos-PI/2_binary64_6668` `cos-PI/3_binary64_6667` `cos-PI/4_binary64_6666` `cos-PI/6_binary64_6665` `sin-+PI/2_binary64_6664` `sin-+PI_binary64_6663` `sin-PI_binary64_6662` `sin-PI/2_binary64_6661` `sin-PI/3_binary64_6660` `sin-PI/4_binary64_6659` `sin-PI/6_binary64_6658` `sub-1-sin_binary64_6657` `sub-1-cos_binary64_6656` `-1-add-sin_binary64_6655` `-1-add-cos_binary64_6654` `1-sub-sin_binary64_6653` `1-sub-cos_binary64_6652` `cos-sin-sum_binary64_6651` `log-E_binary64_6647` `pow-base-0_binary64_6641` `unpow1/2_binary64_6621` `exp-to-pow_binary64_6619` `pow-base-1_binary64_6617` `unpow0_binary64_6616` `unpow-1_binary64_6614` `exp-lft-cube_binary64_6613` `exp-lft-sqr_binary64_6612` `exp-cbrt_binary64_6611` `exp-diff_binary64_6605` `exp-neg_binary64_6604` `exp-sum_binary64_6603` `e-exp-1_binary64_6602` `exp-0_binary64_6599` `rem-exp-log_binary64_6597` `cube-neg_binary64_6584` `rem-3cbrt-lft_binary64_6582` `rem-cbrt-cube_binary64_6581` `rem-cube-cbrt_binary64_6580` `sqr-abs_binary64_6572` `sqr-neg_binary64_6571` `rem-sqrt-square_binary64_6570` `rem-square-sqrt_binary64_6569` `mul-1-neg_binary64_6549` `remove-double-neg_binary64_6545` `sub0-neg_binary64_6544` `--rgt-identity_binary64_6543` `+-rgt-identity_binary64_6542` `+-lft-identity_binary64_6541` `mul0-rgt_binary64_6540` `mul0-lft_binary64_6539` `div0_binary64_6538` `+-inverses_binary64_6536` `lft-mult-inverse_binary64_6535` `rgt-mult-inverse_binary64_6534` `remove-double-div_binary64_6533` `difference-of-sqr--1_binary64_6528` `difference-of-sqr-1_binary64_6527` `cancel-sign-sub_binary64_6522` `distribute-frac-neg_binary64_6520` `distribute-neg-out_binary64_6519` `distribute-lft1-in_binary64_6512` `associate--r-_binary64_6496` `associate--l-_binary64_6495`

Counts

177 → 323

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	245	7534
1	564	6844
2	1605	6844

prune2.1s (14.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	323	0	323
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	323	4	327

Error

0.0b

Counts

327 → 4

Compiler

Compiled 22259 to 17257 computations (22.5% saved)

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y (+.f64 4992947066835229/72057594037927936 (/.f64 1523656921787578761671131903927/20282409603651670423947251286016 z))))
0.0b	(+.f64 4992947066835229/72057594037927936 (/.f64 1523656921787578761671131903927/20282409603651670423947251286016 z))
0.1b	(/.f64 1523656921787578761671131903927/20282409603651670423947251286016 z)
0.1b	(*.f64 y (+.f64 4992947066835229/72057594037927936 (/.f64 1523656921787578761671131903927/20282409603651670423947251286016 z)))

rewrite107.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`*-un-lft-identity_binary64_6557`
16×	`add-sqr-sqrt_binary64_6579`
14×	`add-cube-cbrt_binary64_6592`
9×	`times-frac_binary64_6563`
8×	`add-exp-log_binary64_6595` `add-log-exp_binary64_6596` `add-cbrt-cube_binary64_6593`
6×	`pow1_binary64_6618`
4×	`associate-r_binary64_6497`
3×	`flip3-+_binary64_6560` `flip-+_binary64_6531` `associate-l_binary64_6498` `associate-/l_binary64_6502` `associate-/r_binary64_6501`
2×	`distribute-rgt-in_binary64_6507` `distribute-lft-in_binary64_6506` `associate-*r/_binary64_6499` `distribute-lft-out_binary64_6508` `sum-log_binary64_6648` `+-commutative_binary64_6487` `associate-+r+_binary64_6489`
1×	`pow-prod-down_binary64_6628` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `unswap-sqr_binary64_6525` `*-commutative_binary64_6488` `div-exp_binary64_6608` `cbrt-undiv_binary64_6591` `frac-2neg_binary64_6568` `clear-num_binary64_6556` `div-inv_binary64_6554`

Counts

4 → 75

Calls

4 calls:

9.0ms	(*.f64 y (+.f64 4992947066835229/72057594037927936 (/.f64 1523656921787578761671131903927/20282409603651670423947251286016 z)))
6.0ms	(+.f64 4992947066835229/72057594037927936 (/.f64 1523656921787578761671131903927/20282409603651670423947251286016 z))
3.0ms	(+.f64 x (*.f64 y (+.f64 4992947066835229/72057594037927936 (/.f64 1523656921787578761671131903927/20282409603651670423947251286016 z))))
3.0ms	(/.f64 1523656921787578761671131903927/20282409603651670423947251286016 z)

Compiler

Compiled 1205 to 866 computations (28.1% saved)

series485.0ms (3.4%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

259.0ms	(+.f64 x (*.f64 y (+.f64 4992947066835229/72057594037927936 (/.f64 1523656921787578761671131903927/20282409603651670423947251286016 z))))
139.0ms	(*.f64 y (+.f64 4992947066835229/72057594037927936 (/.f64 1523656921787578761671131903927/20282409603651670423947251286016 z)))
42.0ms	(+.f64 4992947066835229/72057594037927936 (/.f64 1523656921787578761671131903927/20282409603651670423947251286016 z))
23.0ms	(/.f64 1523656921787578761671131903927/20282409603651670423947251286016 z)

Compiler

Compiled 833 to 708 computations (15% saved)

simplify231.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

425×	`distribute-rgt-in_binary64_6507`
404×	`distribute-lft-in_binary64_6506`
335×	`associate-/l/_binary64_6504`
244×	`associate-/r/_binary64_6503`
217×	`associate-/r*_binary64_6501`
200×	`cancel-sign-sub-inv_binary64_6523`
196×	`associate--l+_binary64_6494`
182×	`associate-*l/_binary64_6500`
167×	`*-commutative_binary64_6488`
127×	`distribute-neg-in_binary64_6518`
121×	`associate-*r/_binary64_6499`
118×	`associate-+l+_binary64_6490`
114×	`associate-/l*_binary64_6502`
107×	`distribute-rgt-neg-in_binary64_6515`
105×	`sub-neg_binary64_6550`
97×	`associate-+r+_binary64_6489`
92×	`times-frac_binary64_6563`
90×	`distribute-lft-neg-in_binary64_6514`
81×	`distribute-neg-frac_binary64_6521`
74×	`sqr-pow_binary64_6529` `associate-l_binary64_6498`
69×	`distribute-rgt-out_binary64_6510`
63×	`associate-r_binary64_6497`
58×	`distribute-lft-neg-out_binary64_6516`
57×	`unswap-sqr_binary64_6525`
53×	`div-sub_binary64_6562`
51×	`unsub-neg_binary64_6551`
49×	`neg-mul-1_binary64_6553`
48×	`neg-sub0_binary64_6552`
46×	`associate--r+_binary64_6493`
44×	`-rgt-identity_binary64_6547` `-lft-identity_binary64_6546` `distribute-rgt-neg-out_binary64_6517`
41×	`exp-prod_binary64_6609` `associate--l-_binary64_6495`
36×	`pow-sqr_binary64_6530`
30×	`distribute-rgt-out--_binary64_6511` `+-commutative_binary64_6487`
20×	`log-prod_binary64_6643`
19×	`swap-sqr_binary64_6524`
17×	`distribute-lft-out_binary64_6508`
16×	`log-div_binary64_6644` `cube-prod_binary64_6585`
15×	`cube-div_binary64_6586`
13×	`/-rgt-identity_binary64_6548` `distribute-neg-out_binary64_6519`
12×	`associate-+l-_binary64_6492` `associate-+r-_binary64_6491`
11×	`prod-exp_binary64_6606`
10×	`unpow3_binary64_6623` `exp-sum_binary64_6603` `+-rgt-identity_binary64_6542`
9×	`div-exp_binary64_6608`
8×	`sub0-neg_binary64_6544`
7×	`remove-double-div_binary64_6533` `associate--r-_binary64_6496`
5×	`log-rec_binary64_6645` `cube-mult_binary64_6587`
4×	`difference-of-squares_binary64_6526`
3×	`rec-exp_binary64_6607` `distribute-lft-out--_binary64_6509`
1×	`log-pow_binary64_6646` `pow-plus_binary64_6620` `pow-base-1_binary64_6617` `1-exp_binary64_6601` `exp-1-e_binary64_6600` `rem-log-exp_binary64_6598` `cube-unmult_binary64_6594` `div0_binary64_6538` `distribute-rgt1-in_binary64_6513` `count-2_binary64_6505`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_6820` `erf-erfc_binary64_6819` `erf-odd_binary64_6818` `if-if-and-not_binary64_6817` `if-if-and_binary64_6816` `if-if-or-not_binary64_6815` `if-if-or_binary64_6814` `if-not_binary64_6813` `if-same_binary64_6812` `if-false_binary64_6811` `if-true_binary64_6810` `not-gte_binary64_6809` `not-lte_binary64_6808` `not-gt_binary64_6807` `not-lt_binary64_6806` `gte-same_binary64_6805` `lte-same_binary64_6804` `gt-same_binary64_6803` `lt-same_binary64_6802` `sinh---cosh_binary64_6749` `sinh-+-cosh_binary64_6748` `sinh-cosh_binary64_6747` `tanh-def-c_binary64_6746` `tanh-def-b_binary64_6745` `tanh-def-a_binary64_6744` `cosh-def_binary64_6743` `sinh-def_binary64_6742` `tan-neg_binary64_6689` `cos-neg_binary64_6688` `sin-neg_binary64_6687` `tan-0_binary64_6686` `cos-0_binary64_6685` `sin-0_binary64_6684` `hang-m-tan_binary64_6683` `hang-p-tan_binary64_6682` `hang-m0-tan_binary64_6681` `hang-p0-tan_binary64_6680` `hang-0m-tan_binary64_6679` `hang-0p-tan_binary64_6678` `tan-+PI/2_binary64_6677` `tan-+PI_binary64_6676` `tan-PI_binary64_6675` `tan-PI/3_binary64_6674` `tan-PI/4_binary64_6673` `tan-PI/6_binary64_6672` `cos-+PI/2_binary64_6671` `cos-+PI_binary64_6670` `cos-PI_binary64_6669` `cos-PI/2_binary64_6668` `cos-PI/3_binary64_6667` `cos-PI/4_binary64_6666` `cos-PI/6_binary64_6665` `sin-+PI/2_binary64_6664` `sin-+PI_binary64_6663` `sin-PI_binary64_6662` `sin-PI/2_binary64_6661` `sin-PI/3_binary64_6660` `sin-PI/4_binary64_6659` `sin-PI/6_binary64_6658` `sub-1-sin_binary64_6657` `sub-1-cos_binary64_6656` `-1-add-sin_binary64_6655` `-1-add-cos_binary64_6654` `1-sub-sin_binary64_6653` `1-sub-cos_binary64_6652` `cos-sin-sum_binary64_6651` `log-E_binary64_6647` `pow-base-0_binary64_6641` `unpow1/3_binary64_6624` `unpow2_binary64_6622` `unpow1/2_binary64_6621` `exp-to-pow_binary64_6619` `unpow0_binary64_6616` `unpow1_binary64_6615` `unpow-1_binary64_6614` `exp-lft-cube_binary64_6613` `exp-lft-sqr_binary64_6612` `exp-cbrt_binary64_6611` `exp-sqrt_binary64_6610` `exp-diff_binary64_6605` `exp-neg_binary64_6604` `e-exp-1_binary64_6602` `exp-0_binary64_6599` `rem-exp-log_binary64_6597` `cube-neg_binary64_6584` `rem-3cbrt-rft_binary64_6583` `rem-3cbrt-lft_binary64_6582` `rem-cbrt-cube_binary64_6581` `rem-cube-cbrt_binary64_6580` `sqr-abs_binary64_6572` `sqr-neg_binary64_6571` `rem-sqrt-square_binary64_6570` `rem-square-sqrt_binary64_6569` `mul-1-neg_binary64_6549` `remove-double-neg_binary64_6545` `--rgt-identity_binary64_6543` `+-lft-identity_binary64_6541` `mul0-rgt_binary64_6540` `mul0-lft_binary64_6539` `*-inverses_binary64_6537` `+-inverses_binary64_6536` `lft-mult-inverse_binary64_6535` `rgt-mult-inverse_binary64_6534` `difference-of-sqr--1_binary64_6528` `difference-of-sqr-1_binary64_6527` `cancel-sign-sub_binary64_6522` `distribute-frac-neg_binary64_6520` `distribute-lft1-in_binary64_6512`

Counts

111 → 156

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	130	1331
1	321	1217
2	967	1217
3	3351	1217

prune162.0ms (1.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	155	5	160

Error

Counts

160 → 5

Compiler

Compiled 2511 to 1755 computations (30.1% saved)

regimes868.0ms (6.1%)

Accuracy

Total 0.1b remaining (97.9%)

Threshold costs 0.1b (97.9%)

Compiler

Compiled 6002 to 5256 computations (12.4% saved)

bsearch62.0ms (0.4%)

Steps

Iters	Range		Point
9	2080.64368398977	83134893657.41833	4251504.746110155
8	-6.14592483475304e+20	-1.8206851532681661e+18	-1.8397398101675436e+18

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64_6487`
6×	`*-commutative_binary64_6488`
1×	`if-if-or-not_binary64_6815`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_6817` `if-if-and_binary64_6816` `if-if-or_binary64_6814` `if-not_binary64_6813` `if-same_binary64_6812` `if-false_binary64_6811` `if-true_binary64_6810` `tan-0_binary64_6686` `cos-0_binary64_6685` `sin-0_binary64_6684` `unpow1_binary64_6615` `e-exp-1_binary64_6602` `1-exp_binary64_6601` `exp-1-e_binary64_6600` `exp-0_binary64_6599` `sqr-abs_binary64_6572` `sqr-neg_binary64_6571` `neg-mul-1_binary64_6553` `neg-sub0_binary64_6552` `unsub-neg_binary64_6551` `sub-neg_binary64_6550` `mul-1-neg_binary64_6549` `/-rgt-identity_binary64_6548` `-rgt-identity_binary64_6547` `-lft-identity_binary64_6546` `remove-double-neg_binary64_6545` `sub0-neg_binary64_6544` `--rgt-identity_binary64_6543` `+-rgt-identity_binary64_6542` `+-lft-identity_binary64_6541` `cancel-sign-sub-inv_binary64_6523` `cancel-sign-sub_binary64_6522` `distribute-neg-frac_binary64_6521` `distribute-frac-neg_binary64_6520` `distribute-neg-out_binary64_6519` `distribute-neg-in_binary64_6518` `distribute-rgt-neg-out_binary64_6517` `distribute-lft-neg-out_binary64_6516` `distribute-rgt-neg-in_binary64_6515` `distribute-lft-neg-in_binary64_6514`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	61
1	48	61

Proof

(=> (if real (<= f64 h0 -1839739810167543552) (+ f64 h1 (+ f64 (* f64 4992947066835229/72057594037927936 h2) (/ f64 (* f64 1523656921787578761671131903927/20282409603651670423947251286016 h2) h0))) (if real (<= f64 h0 4565018460832975/1073741824) (+ f64 h1 (/ f64 (* f64 h2 (+ f64 (* f64 (+ f64 (* f64 h0 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) h0) 5029535718965825/18014398509481984)) (+ f64 (* f64 (+ f64 h0 1692356830115869/281474976710656) h0) 7544303578448747/2251799813685248))) (+ f64 h1 (+ f64 (* f64 4992947066835229/72057594037927936 h2) (/ f64 (* f64 1523656921787578761671131903927/20282409603651670423947251286016 h2) h0))))))
if-if-or-not_binary64_6815 =>
(if real (or real (<= f64 h0 -1839739810167543552) (not real (<= f64 h0 4565018460832975/1073741824))) (+ f64 h1 (+ f64 (* f64 4992947066835229/72057594037927936 h2) (/ f64 (=> (* f64 1523656921787578761671131903927/20282409603651670423947251286016 h2)) h0))) (+ f64 h1 (/ f64 (* f64 h2 (+ f64 (* f64 (+ f64 (* f64 h0 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) h0) 5029535718965825/18014398509481984)) (+ f64 (* f64 (+ f64 h0 1692356830115869/281474976710656) h0) 7544303578448747/2251799813685248))))
*-commutative_binary64_6488 =>
(if real (or real (<= f64 h0 -1839739810167543552) (not real (<= f64 h0 4565018460832975/1073741824))) (+ f64 h1 (+ f64 (* f64 4992947066835229/72057594037927936 h2) (/ f64 (* f64 h2 1523656921787578761671131903927/20282409603651670423947251286016) h0))) (+ f64 h1 (/ f64 (* f64 h2 (+ f64 (* f64 (+ f64 (* f64 h0 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) h0) 5029535718965825/18014398509481984)) (+ f64 (=> (* f64 (+ f64 h0 1692356830115869/281474976710656) h0)) 7544303578448747/2251799813685248))))
*-commutative_binary64_6488 =>
(if real (or real (<= f64 h0 -1839739810167543552) (not real (<= f64 h0 4565018460832975/1073741824))) (+ f64 h1 (+ f64 (* f64 4992947066835229/72057594037927936 h2) (/ f64 (* f64 h2 1523656921787578761671131903927/20282409603651670423947251286016) h0))) (+ f64 h1 (/ f64 (* f64 h2 (+ f64 (=> (* f64 (+ f64 (* f64 h0 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) h0)) 5029535718965825/18014398509481984)) (+ f64 (* f64 h0 (+ f64 h0 1692356830115869/281474976710656)) 7544303578448747/2251799813685248))))
*-commutative_binary64_6488 =>
(if real (or real (<= f64 h0 -1839739810167543552) (not real (<= f64 h0 4565018460832975/1073741824))) (+ f64 h1 (+ f64 (* f64 4992947066835229/72057594037927936 h2) (/ f64 (* f64 h2 1523656921787578761671131903927/20282409603651670423947251286016) h0))) (+ f64 h1 (/ f64 (* f64 h2 (+ f64 (* f64 h0 (+ f64 (* f64 h0 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984)) (+ f64 (* f64 h0 (+ f64 h0 1692356830115869/281474976710656)) 7544303578448747/2251799813685248))))

end0.0ms (0%)

sample1.8s (12.9%)

Algorithm

1×

intervals

Results

418.0ms

8000×

body

128

valid

Compiler

Compiled 1299 to 1123 computations (13.5% saved)

Iter	Nodes	Cost
0	19	31
1	36	31
2	65	31
3	120	31
4	195	31
5	252	31
6	310	31
7	383	31
8	463	31
9	456	31
10	458	31

Iter	Nodes	Cost
0	19	31
1	36	31
2	65	31
3	120	31
4	195	31
5	252	31
6	310	31
7	383	31
8	463	31
9	456	31
10	458	31

Details

analyze498.0ms (3.5%)

sample26.0ms (0.2%)

simplify167.0ms (1.2%)

prune10.0ms (0.1%)

localize13.0ms (0.1%)

rewrite431.0ms (3%)

series513.0ms (3.6%)

simplify1.3s (9%)

prune2.4s (16.8%)

localize4.0ms (0%)

rewrite29.0ms (0.2%)

series110.0ms (0.8%)

simplify318.0ms (2.2%)

prune49.0ms (0.3%)

localize27.0ms (0.2%)

rewrite984.0ms (6.9%)

series549.0ms (3.8%)

simplify1.0s (7%)

prune2.1s (14.7%)

localize6.0ms (0%)

rewrite107.0ms (0.7%)

series485.0ms (3.4%)

simplify231.0ms (1.6%)

prune162.0ms (1.1%)

regimes868.0ms (6.1%)

bsearch62.0ms (0.4%)

simplify7.0ms (0%)

end0.0ms (0%)

sample1.8s (12.9%)

Profiling

Iter	Nodes	Cost
0	19	31
1	36	31
2	65	31
3	120	31
4	195	31
5	252	31
6	310	31
7	383	31
8	463	31
9	456	31
10	458	31