Details

analyze450.0ms (6.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

8×	`*-commutative_binary64_6488`
4×	`+-commutative_binary64_6487`
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-rgt-out_binary64_6510` `distribute-lft-out--_binary64_6509` `distribute-lft-out_binary64_6508` `distribute-rgt-in_binary64_6507` `distribute-lft-in_binary64_6506` `count-2_binary64_6505` `associate-/l/_binary64_6504` `associate-/r/_binary64_6503` `associate-/l_binary64_6502` `associate-/r_binary64_6501` `associate-l/_binary64_6500` `associate-r/_binary64_6499` `associate-l_binary64_6498` `associate-r*_binary64_6497` `associate--r-_binary64_6496` `associate--l-_binary64_6495` `associate--l+_binary64_6494` `associate--r+_binary64_6493` `associate-+l-_binary64_6492` `associate-+r-_binary64_6491` `associate-+l+_binary64_6490` `associate-+r+_binary64_6489`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	56
1	34	56
2	34	56
0	3	3
1	3	3

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
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample54.0ms (0.8%)

Algorithm

1×

intervals

Results

22.0ms	72×	body	1024	valid
11.0ms	138×	body	128	valid
7.0ms	33×	body	512	valid
2.0ms	13×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64_6488`
1×	`+-commutative_binary64_6487`
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-rgt-out_binary64_6510` `distribute-lft-out--_binary64_6509` `distribute-lft-out_binary64_6508` `distribute-rgt-in_binary64_6507` `distribute-lft-in_binary64_6506` `count-2_binary64_6505` `associate-/l/_binary64_6504` `associate-/r/_binary64_6503` `associate-/l_binary64_6502` `associate-/r_binary64_6501` `associate-l/_binary64_6500` `associate-r/_binary64_6499` `associate-l_binary64_6498` `associate-r*_binary64_6497` `associate--r-_binary64_6496` `associate--l-_binary64_6495` `associate--l+_binary64_6494` `associate--r+_binary64_6493` `associate-+l-_binary64_6492` `associate-+r-_binary64_6491` `associate-+l+_binary64_6490` `associate-+r+_binary64_6489`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	12	14
2	12	14

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.1b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
0.1b	(*.f64 z (sin.f64 y))
0.1b	(*.f64 x (cos.f64 y))

rewrite59.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

3 → 47

Calls

3 calls:

4.0ms	(*.f64 x (cos.f64 y))
4.0ms	(*.f64 z (sin.f64 y))
4.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 730 to 175 computations (76% saved)

series575.0ms (8.5%)

Error

0.1b

Counts

3 → 34

Calls

3 calls:

324.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
118.0ms	(*.f64 x (cos.f64 y))
110.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 856 to 550 computations (35.7% saved)

simplify125.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

411×	`sub-neg_binary64_6550`
379×	`neg-mul-1_binary64_6553`
343×	`cancel-sign-sub-inv_binary64_6523`
335×	`distribute-rgt-neg-in_binary64_6515`
289×	`*-commutative_binary64_6488`
258×	`unswap-sqr_binary64_6525`
230×	`+-commutative_binary64_6487`
226×	`distribute-lft-neg-in_binary64_6514`
180×	`distribute-rgt-in_binary64_6507`
177×	`distribute-rgt-neg-out_binary64_6517`
173×	`distribute-rgt-out_binary64_6510`
161×	`distribute-lft-in_binary64_6506`
151×	`associate-+l+_binary64_6490`
147×	`unsub-neg_binary64_6551`
145×	`sqr-pow_binary64_6529`
144×	`distribute-neg-in_binary64_6518`
136×	`associate-+r+_binary64_6489`
129×	`neg-sub0_binary64_6552`
120×	`associate-+l-_binary64_6492`
118×	`associate-l_binary64_6498`
110×	`associate-r_binary64_6497`
104×	`associate--r+_binary64_6493`
70×	`associate-+r-_binary64_6491`
65×	`distribute-rgt-out--_binary64_6511`
60×	`sub0-neg_binary64_6544` `distribute-lft-out_binary64_6508`
58×	`distribute-neg-out_binary64_6519`
55×	`associate--l+_binary64_6494`
48×	`pow-sqr_binary64_6530`
47×	`cube-prod_binary64_6585`
45×	`distribute-lft-neg-out_binary64_6516`
44×	`exp-prod_binary64_6609`
40×	`div-sub_binary64_6562` `+-rgt-identity_binary64_6542`
38×	`remove-double-neg_binary64_6545`
35×	`distribute-lft-out--_binary64_6509`
34×	`log-prod_binary64_6643`
26×	`swap-sqr_binary64_6524`
25×	`associate--r-_binary64_6496` `associate--l-_binary64_6495`
23×	`rem-sqrt-square_binary64_6570`
22×	`*-lft-identity_binary64_6546`
21×	`*-rgt-identity_binary64_6547`
18×	`associate-/l*_binary64_6502`
16×	`exp-sum_binary64_6603`
15×	`exp-diff_binary64_6605`
14×	`unpow3_binary64_6623` `associate-/l/_binary64_6504`
13×	`mul0-rgt_binary64_6540`
12×	`sqr-neg_binary64_6571` `mul0-lft_binary64_6539`
10×	`cancel-sign-sub_binary64_6522`
9×	`cube-neg_binary64_6584` `--rgt-identity_binary64_6543`
8×	`unpow1/2_binary64_6621` `associate-*r/_binary64_6499`
7×	`distribute-frac-neg_binary64_6520`
6×	`cube-unmult_binary64_6594` `cube-mult_binary64_6587` `distribute-rgt1-in_binary64_6513`
4×	`pow-plus_binary64_6620` `difference-of-squares_binary64_6526` `associate-/r/_binary64_6503` `associate-/r*_binary64_6501`
3×	`count-2_binary64_6505`
2×	`unpow2_binary64_6622` `/-rgt-identity_binary64_6548` `distribute-neg-frac_binary64_6521` `associate-*l/_binary64_6500`
1×	`cos-neg_binary64_6688` `sin-neg_binary64_6687` `unpow1_binary64_6615` `prod-exp_binary64_6606` `exp-neg_binary64_6604` `1-exp_binary64_6601` `exp-1-e_binary64_6600` `+-lft-identity_binary64_6541` `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` `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` `pow-base-0_binary64_6641` `unpow1/3_binary64_6624` `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-sqrt_binary64_6610` `div-exp_binary64_6608` `rec-exp_binary64_6607` `e-exp-1_binary64_6602` `exp-0_binary64_6599` `rem-log-exp_binary64_6598` `rem-exp-log_binary64_6597` `cube-div_binary64_6586` `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-square-sqrt_binary64_6569` `times-frac_binary64_6563` `mul-1-neg_binary64_6549` `div0_binary64_6538` `*-inverses_binary64_6537` `+-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`

Counts

81 → 34

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	943
1	281	914
2	789	899
3	1446	896
4	2797	896
5	3871	896
6	4802	896
7	5018	896

prune39.0ms (0.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	28	6	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	6	35

Error

0.1b

Counts

35 → 6

Compiler

Compiled 614 to 212 computations (65.5% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite91.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_6588`
23×	`add-sqr-sqrt_binary64_6579`
15×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
11×	`pow1_binary64_6618`
9×	`pow1/3_binary64_6639`
6×	`add-exp-log_binary64_6595` `swap-sqr_binary64_6524` `associate-l_binary64_6498` `associate-r_binary64_6497`
4×	`add-log-exp_binary64_6596` `add-cbrt-cube_binary64_6593` `unswap-sqr_binary64_6525`
2×	`pow-prod-down_binary64_6628` `pow-prod-up_binary64_6627` `pow-sqr_binary64_6530`
1×	`pow2_binary64_6638` `pow-plus_binary64_6620` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `*-commutative_binary64_6488`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1524 to 318 computations (79.1% saved)

series516.0ms (7.7%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

139.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
125.0ms	(cbrt.f64 z)
121.0ms	(cbrt.f64 z)
119.0ms	(cbrt.f64 z)

Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify102.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

586×	`log-prod_binary64_6643`
416×	`sqr-pow_binary64_6529`
335×	`associate-l_binary64_6498`
309×	`*-commutative_binary64_6488`
277×	`distribute-rgt-neg-in_binary64_6515`
257×	`distribute-lft-neg-in_binary64_6514`
227×	`associate-r_binary64_6497`
188×	`exp-prod_binary64_6609`
161×	`log-pow_binary64_6646`
149×	`cube-prod_binary64_6585`
128×	`pow-sqr_binary64_6530`
124×	`unswap-sqr_binary64_6525`
111×	`swap-sqr_binary64_6524`
104×	`associate-/l*_binary64_6502`
81×	`cancel-sign-sub-inv_binary64_6523`
75×	`associate-+l+_binary64_6490`
69×	`associate-+r+_binary64_6489`
61×	`distribute-rgt-in_binary64_6507`
60×	`distribute-lft-out_binary64_6508`
57×	`distribute-lft-in_binary64_6506`
54×	`neg-sub0_binary64_6552`
53×	`neg-mul-1_binary64_6553`
48×	`distribute-rgt-out_binary64_6510`
45×	`+-commutative_binary64_6487`
43×	`pow-plus_binary64_6620` `rem-sqrt-square_binary64_6570`
41×	`times-frac_binary64_6563` `sub-neg_binary64_6550`
37×	`associate-/r/_binary64_6503`
35×	`associate-*r/_binary64_6499`
32×	`unpow3_binary64_6623`
31×	`-rgt-identity_binary64_6547` `-lft-identity_binary64_6546` `associate-/l/_binary64_6504`
29×	`count-2_binary64_6505`
27×	`cube-mult_binary64_6587`
24×	`associate-/r*_binary64_6501`
17×	`log-div_binary64_6644` `cube-div_binary64_6586` `distribute-neg-frac_binary64_6521`
13×	`cube-unmult_binary64_6594` `distribute-rgt1-in_binary64_6513`
11×	`distribute-rgt-neg-out_binary64_6517`
10×	`unpow1/2_binary64_6621`
9×	`distribute-lft-neg-out_binary64_6516` `distribute-lft1-in_binary64_6512`
8×	`unpow2_binary64_6622` `associate-*l/_binary64_6500`
5×	`unpow1_binary64_6615`
3×	`unpow1/3_binary64_6624`
2×	`exp-sqrt_binary64_6610` `rem-3cbrt-lft_binary64_6582` `rem-cbrt-cube_binary64_6581` `mul-1-neg_binary64_6549`
1×	`exp-lft-sqr_binary64_6612` `1-exp_binary64_6601` `exp-1-e_binary64_6600` `rem-3cbrt-rft_binary64_6583` `rem-square-sqrt_binary64_6569` `sub0-neg_binary64_6544` `--rgt-identity_binary64_6543` `associate-+l-_binary64_6492`
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-rec_binary64_6645` `pow-base-0_binary64_6641` `exp-to-pow_binary64_6619` `pow-base-1_binary64_6617` `unpow0_binary64_6616` `unpow-1_binary64_6614` `exp-lft-cube_binary64_6613` `exp-cbrt_binary64_6611` `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` `exp-0_binary64_6599` `rem-log-exp_binary64_6598` `rem-exp-log_binary64_6597` `cube-neg_binary64_6584` `rem-cube-cbrt_binary64_6580` `sqr-abs_binary64_6572` `sqr-neg_binary64_6571` `div-sub_binary64_6562` `unsub-neg_binary64_6551` `/-rgt-identity_binary64_6548` `remove-double-neg_binary64_6545` `+-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` `difference-of-sqr--1_binary64_6528` `difference-of-sqr-1_binary64_6527` `difference-of-squares_binary64_6526` `cancel-sign-sub_binary64_6522` `distribute-frac-neg_binary64_6520` `distribute-neg-out_binary64_6519` `distribute-neg-in_binary64_6518` `distribute-rgt-out--_binary64_6511` `distribute-lft-out--_binary64_6509` `associate--r-_binary64_6496` `associate--l-_binary64_6495` `associate--l+_binary64_6494` `associate--r+_binary64_6493` `associate-+r-_binary64_6491`

Counts

85 → 50

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	718
1	97	666
2	308	646
3	1135	632
4	2034	548
5	3257	548
6	4939	548
7	4873	548

prune58.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	48	8	56

Error

0.0b

Counts

56 → 8

Compiler

Compiled 1071 to 336 computations (68.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite91.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_6588`
23×	`add-sqr-sqrt_binary64_6579`
15×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
11×	`pow1_binary64_6618`
9×	`pow1/3_binary64_6639`
6×	`add-exp-log_binary64_6595` `swap-sqr_binary64_6524` `associate-l_binary64_6498` `associate-r_binary64_6497`
4×	`add-log-exp_binary64_6596` `add-cbrt-cube_binary64_6593` `unswap-sqr_binary64_6525`
2×	`pow-prod-down_binary64_6628` `pow-prod-up_binary64_6627` `pow-sqr_binary64_6530`
1×	`pow2_binary64_6638` `pow-plus_binary64_6620` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `*-commutative_binary64_6488`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1524 to 318 computations (79.1% saved)

series486.0ms (7.2%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

139.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
116.0ms	(cbrt.f64 x)
111.0ms	(cbrt.f64 x)
107.0ms	(cbrt.f64 x)

Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify105.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

586×	`log-prod_binary64_6643`
416×	`sqr-pow_binary64_6529`
335×	`associate-l_binary64_6498`
309×	`*-commutative_binary64_6488`
277×	`distribute-rgt-neg-in_binary64_6515`
257×	`distribute-lft-neg-in_binary64_6514`
227×	`associate-r_binary64_6497`
188×	`exp-prod_binary64_6609`
161×	`log-pow_binary64_6646`
149×	`cube-prod_binary64_6585`
128×	`pow-sqr_binary64_6530`
124×	`unswap-sqr_binary64_6525`
111×	`swap-sqr_binary64_6524`
104×	`associate-/l*_binary64_6502`
81×	`cancel-sign-sub-inv_binary64_6523`
75×	`associate-+l+_binary64_6490`
69×	`associate-+r+_binary64_6489`
61×	`distribute-rgt-in_binary64_6507`
60×	`distribute-lft-out_binary64_6508`
57×	`distribute-lft-in_binary64_6506`
54×	`neg-sub0_binary64_6552`
53×	`neg-mul-1_binary64_6553`
48×	`distribute-rgt-out_binary64_6510`
45×	`+-commutative_binary64_6487`
43×	`pow-plus_binary64_6620` `rem-sqrt-square_binary64_6570`
41×	`times-frac_binary64_6563` `sub-neg_binary64_6550`
37×	`associate-/r/_binary64_6503`
35×	`associate-*r/_binary64_6499`
32×	`unpow3_binary64_6623`
31×	`-rgt-identity_binary64_6547` `-lft-identity_binary64_6546` `associate-/l/_binary64_6504`
29×	`count-2_binary64_6505`
27×	`cube-mult_binary64_6587`
24×	`associate-/r*_binary64_6501`
17×	`log-div_binary64_6644` `cube-div_binary64_6586` `distribute-neg-frac_binary64_6521`
13×	`cube-unmult_binary64_6594` `distribute-rgt1-in_binary64_6513`
11×	`distribute-rgt-neg-out_binary64_6517`
10×	`unpow1/2_binary64_6621`
9×	`distribute-lft-neg-out_binary64_6516` `distribute-lft1-in_binary64_6512`
8×	`unpow2_binary64_6622` `associate-*l/_binary64_6500`
5×	`unpow1_binary64_6615`
3×	`unpow1/3_binary64_6624`
2×	`exp-sqrt_binary64_6610` `rem-3cbrt-lft_binary64_6582` `rem-cbrt-cube_binary64_6581` `mul-1-neg_binary64_6549`
1×	`exp-lft-sqr_binary64_6612` `1-exp_binary64_6601` `exp-1-e_binary64_6600` `rem-3cbrt-rft_binary64_6583` `rem-square-sqrt_binary64_6569` `sub0-neg_binary64_6544` `--rgt-identity_binary64_6543` `associate-+l-_binary64_6492`
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-rec_binary64_6645` `pow-base-0_binary64_6641` `exp-to-pow_binary64_6619` `pow-base-1_binary64_6617` `unpow0_binary64_6616` `unpow-1_binary64_6614` `exp-lft-cube_binary64_6613` `exp-cbrt_binary64_6611` `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` `exp-0_binary64_6599` `rem-log-exp_binary64_6598` `rem-exp-log_binary64_6597` `cube-neg_binary64_6584` `rem-cube-cbrt_binary64_6580` `sqr-abs_binary64_6572` `sqr-neg_binary64_6571` `div-sub_binary64_6562` `unsub-neg_binary64_6551` `/-rgt-identity_binary64_6548` `remove-double-neg_binary64_6545` `+-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` `difference-of-sqr--1_binary64_6528` `difference-of-sqr-1_binary64_6527` `difference-of-squares_binary64_6526` `cancel-sign-sub_binary64_6522` `distribute-frac-neg_binary64_6520` `distribute-neg-out_binary64_6519` `distribute-neg-in_binary64_6518` `distribute-rgt-out--_binary64_6511` `distribute-lft-out--_binary64_6509` `associate--r-_binary64_6496` `associate--l-_binary64_6495` `associate--l+_binary64_6494` `associate--r+_binary64_6493` `associate-+r-_binary64_6491`

Counts

85 → 50

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	718
1	97	666
2	308	646
3	1135	632
4	2034	548
5	3257	548
6	4939	548
7	4873	548

prune62.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	49	9	58

Error

0.0b

Counts

58 → 9

Compiler

Compiled 1075 to 339 computations (68.5% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 (cbrt.f64 z))
0.6b	(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)

rewrite96.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`cbrt-prod_binary64_6588`
11×	`add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
9×	`unpow-prod-down_binary64_6636`
5×	`pow1_binary64_6618` `add-exp-log_binary64_6595`
4×	`pow1/3_binary64_6639` `add-log-exp_binary64_6596` `add-cbrt-cube_binary64_6593`
3×	`pow-unpow_binary64_6634`
2×	`pow-pow_binary64_6629`
1×	`pow-to-exp_binary64_6626` `pow-exp_binary64_6625` `sqr-pow_binary64_6529`

Counts

4 → 58

Calls

4 calls:

4.0ms	(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)
2.0ms	(cbrt.f64 (cbrt.f64 z))
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1653 to 471 computations (71.5% saved)

series711.0ms (10.5%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

230.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)
197.0ms	(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
151.0ms	(cbrt.f64 (cbrt.f64 z))
119.0ms	(cbrt.f64 z)

Compiler

Compiled 906 to 602 computations (33.6% saved)

simplify134.0ms (2%)

Algorithm

1×	egg-herbie

Rules

496×	`swap-sqr_binary64_6524`
454×	`log-prod_binary64_6643`
375×	`associate-l_binary64_6498`
339×	`distribute-rgt-neg-in_binary64_6515`
335×	`distribute-lft-neg-in_binary64_6514`
328×	`cube-prod_binary64_6585`
325×	`associate-r_binary64_6497`
317×	`sqr-pow_binary64_6529`
170×	`unpow3_binary64_6623`
159×	`log-pow_binary64_6646`
103×	`pow-plus_binary64_6620`
95×	`neg-mul-1_binary64_6553` `neg-sub0_binary64_6552` `unswap-sqr_binary64_6525`
89×	`pow-sqr_binary64_6530`
84×	`exp-prod_binary64_6609`
78×	`cancel-sign-sub-inv_binary64_6523`
77×	`distribute-rgt-out_binary64_6510`
61×	`distribute-rgt-in_binary64_6507`
53×	`distribute-lft-in_binary64_6506`
51×	`cube-mult_binary64_6587`
48×	`*-commutative_binary64_6488`
37×	`cube-unmult_binary64_6594`
26×	`rem-sqrt-square_binary64_6570`
18×	`distribute-rgt-neg-out_binary64_6517` `associate-/l*_binary64_6502`
17×	`unpow2_binary64_6622` `associate-+l+_binary64_6490` `associate-+r+_binary64_6489`
16×	`sub-neg_binary64_6550`
14×	`*-rgt-identity_binary64_6547` `distribute-lft-neg-out_binary64_6516`
12×	`unpow1/2_binary64_6621` `unpow1_binary64_6615`
10×	`*-lft-identity_binary64_6546`
8×	`rem-3cbrt-rft_binary64_6583`
7×	`associate-/l/_binary64_6504`
6×	`count-2_binary64_6505`
5×	`unpow1/3_binary64_6624` `distribute-lft-out_binary64_6508`
4×	`mul-1-neg_binary64_6549` `associate-*r/_binary64_6499`
3×	`rem-3cbrt-lft_binary64_6582` `distribute-rgt1-in_binary64_6513`
2×	`distribute-lft1-in_binary64_6512` `associate-/r/_binary64_6503` `associate-*l/_binary64_6500`
1×	`1-exp_binary64_6601` `rem-cbrt-cube_binary64_6581` `times-frac_binary64_6563` `/-rgt-identity_binary64_6548` `+-commutative_binary64_6487`
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-rec_binary64_6645` `log-div_binary64_6644` `pow-base-0_binary64_6641` `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-sqrt_binary64_6610` `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` `exp-1-e_binary64_6600` `exp-0_binary64_6599` `rem-log-exp_binary64_6598` `rem-exp-log_binary64_6597` `cube-div_binary64_6586` `cube-neg_binary64_6584` `rem-cube-cbrt_binary64_6580` `sqr-abs_binary64_6572` `sqr-neg_binary64_6571` `rem-square-sqrt_binary64_6569` `div-sub_binary64_6562` `unsub-neg_binary64_6551` `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` `difference-of-sqr--1_binary64_6528` `difference-of-sqr-1_binary64_6527` `difference-of-squares_binary64_6526` `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-out--_binary64_6511` `distribute-lft-out--_binary64_6509` `associate-/r_binary64_6501` `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

70 → 38

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	85	750
1	162	669
2	379	660
3	1699	637
4	3123	626
5	4652	626
6	4977	626
7	4832	626

prune51.0ms (0.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	37	10	47

Error

0.0b

Counts

47 → 10

Compiler

Compiled 994 to 342 computations (65.6% saved)

regimes396.0ms (5.9%)

Accuracy

Total 0.1b remaining (78.4%)

Threshold costs 0.1b (78.4%)

Compiler

Compiled 3740 to 2382 computations (36.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64_6488`
1×	`+-commutative_binary64_6487`
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-not_binary64_6815` `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	9	14
1	12	14
2	12	14

end0.0ms (0%)

sample2.5s (36.5%)

Algorithm

1×

intervals

Results

675.0ms	2119×	body	1024	valid
353.0ms	4413×	body	128	valid
215.0ms	950×	body	512	valid
80.0ms	515×	body	256	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 948 to 607 computations (36% saved)

Details

analyze450.0ms (6.7%)

sample54.0ms (0.8%)

simplify10.0ms (0.1%)

prune5.0ms (0.1%)

localize9.0ms (0.1%)

rewrite59.0ms (0.9%)

series575.0ms (8.5%)

simplify125.0ms (1.9%)

prune39.0ms (0.6%)

localize16.0ms (0.2%)

rewrite91.0ms (1.4%)

series516.0ms (7.7%)

simplify102.0ms (1.5%)

prune58.0ms (0.9%)

localize13.0ms (0.2%)

rewrite91.0ms (1.3%)

series486.0ms (7.2%)

simplify105.0ms (1.6%)

prune62.0ms (0.9%)

localize21.0ms (0.3%)

rewrite96.0ms (1.4%)

series711.0ms (10.5%)

simplify134.0ms (2%)

prune51.0ms (0.8%)

regimes396.0ms (5.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.5s (36.5%)

Profiling