Details

analyze19.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample15.0ms (0.1%)

Algorithm

1×

intervals

Results

6.0ms	249×	body	128	valid
0.0ms	3×	body	2048	valid
0.0ms	3×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify905.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1217×	`exp-prod_binary64_6609`
551×	`distribute-rgt-out--_binary64_6511`
523×	`distribute-rgt-out_binary64_6510`
496×	`cube-prod_binary64_6585`
462×	`sub-neg_binary64_6550`
433×	`swap-sqr_binary64_6524`
334×	`unsub-neg_binary64_6551`
319×	`distribute-rgt-neg-in_binary64_6515`
289×	`div-sub_binary64_6562`
255×	`exp-sum_binary64_6603`
245×	`exp-diff_binary64_6605`
191×	`associate--r-_binary64_6496`
189×	`cancel-sign-sub-inv_binary64_6523`
172×	`*-commutative_binary64_6488`
161×	`sqr-pow_binary64_6529`
142×	`neg-mul-1_binary64_6553`
137×	`associate--l-_binary64_6495`
134×	`neg-sub0_binary64_6552`
125×	`associate-+r-_binary64_6491`
118×	`pow-plus_binary64_6620`
117×	`pow-sqr_binary64_6530`
91×	`associate-+l-_binary64_6492`
75×	`+-commutative_binary64_6487`
49×	`distribute-lft-neg-in_binary64_6514`
48×	`distribute-neg-out_binary64_6519`
46×	`distribute-rgt1-in_binary64_6513`
37×	`distribute-rgt-in_binary64_6507`
21×	`distribute-neg-in_binary64_6518`
19×	`associate-r_binary64_6497`
17×	`associate--r+_binary64_6493` `associate-+l+_binary64_6490`
16×	`distribute-lft-in_binary64_6506` `associate-+r+_binary64_6489`
15×	`sqr-neg_binary64_6571` `+-inverses_binary64_6536` `difference-of-squares_binary64_6526`
14×	`pow-base-1_binary64_6617`
13×	`remove-double-neg_binary64_6545` `count-2_binary64_6505` `associate--l+_binary64_6494`
12×	`distribute-lft1-in_binary64_6512`
11×	`cube-unmult_binary64_6594`
10×	`exp-lft-sqr_binary64_6612`
9×	`distribute-rgt-neg-out_binary64_6517` `distribute-lft-neg-out_binary64_6516`
8×	`*-rgt-identity_binary64_6547` `sub0-neg_binary64_6544` `--rgt-identity_binary64_6543`
6×	`*-lft-identity_binary64_6546`
5×	`+-rgt-identity_binary64_6542` `+-lft-identity_binary64_6541` `associate-l/_binary64_6500` `associate-l*_binary64_6498`
3×	`difference-of-sqr--1_binary64_6528` `distribute-lft-out--_binary64_6509` `distribute-lft-out_binary64_6508` `associate-/r*_binary64_6501`
2×	`exp-neg_binary64_6604` `cube-div_binary64_6586` `mul0-lft_binary64_6539` `distribute-neg-frac_binary64_6521`
1×	`unpow3_binary64_6623` `1-exp_binary64_6601` `exp-1-e_binary64_6600` `cube-neg_binary64_6584` `/-rgt-identity_binary64_6548` `div0_binary64_6538` `*-inverses_binary64_6537`
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` `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-cbrt_binary64_6611` `exp-sqrt_binary64_6610` `div-exp_binary64_6608` `rec-exp_binary64_6607` `prod-exp_binary64_6606` `e-exp-1_binary64_6602` `exp-0_binary64_6599` `rem-log-exp_binary64_6598` `rem-exp-log_binary64_6597` `cube-mult_binary64_6587` `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` `times-frac_binary64_6563` `mul-1-neg_binary64_6549` `mul0-rgt_binary64_6540` `lft-mult-inverse_binary64_6535` `rgt-mult-inverse_binary64_6534` `remove-double-div_binary64_6533` `difference-of-sqr-1_binary64_6527` `unswap-sqr_binary64_6525` `cancel-sign-sub_binary64_6522` `distribute-frac-neg_binary64_6520` `associate-/l/_binary64_6504` `associate-/r/_binary64_6503` `associate-/l_binary64_6502` `associate-r/_binary64_6499`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	11	12
2	16	12
3	22	12
4	30	12
5	44	12
6	90	12
7	210	12
8	1813	12
9	2419	12

prune2.0ms (0%)

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

0.0b

Counts

1 → 1

Compiler

Compiled 8 to 7 computations (12.5% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

rewrite18.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_6596` `*-un-lft-identity_binary64_6557`
1×	`sum-log_binary64_6648` `pow1_binary64_6618` `add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593` `add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579` `flip3-+_binary64_6560` `flip-+_binary64_6531` `distribute-lft-out_binary64_6508` `+-commutative_binary64_6487`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

Compiler

Compiled 209 to 102 computations (51.2% saved)

series104.0ms (0.5%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

99.0ms

(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

Compiler

Compiled 160 to 118 computations (26.3% saved)

simplify113.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

400×	`distribute-rgt-out_binary64_6510`
346×	`distribute-rgt-in_binary64_6507`
322×	`cancel-sign-sub-inv_binary64_6523`
298×	`div-sub_binary64_6562`
296×	`associate-+l+_binary64_6490`
279×	`distribute-lft-in_binary64_6506`
233×	`associate-+r+_binary64_6489`
228×	`associate-/l*_binary64_6502`
212×	`unsub-neg_binary64_6551`
201×	`unswap-sqr_binary64_6525`
174×	`associate-l_binary64_6498`
173×	`sub-neg_binary64_6550`
144×	`distribute-rgt-neg-out_binary64_6517` `distribute-lft-neg-out_binary64_6516`
140×	`times-frac_binary64_6563`
131×	`associate-*l/_binary64_6500`
116×	`distribute-frac-neg_binary64_6520` `associate-r_binary64_6497`
106×	`associate-*r/_binary64_6499`
96×	`associate-/r*_binary64_6501`
91×	`associate-/l/_binary64_6504`
75×	`*-commutative_binary64_6488`
71×	`distribute-rgt-neg-in_binary64_6515`
66×	`associate-/r/_binary64_6503`
65×	`distribute-rgt-out--_binary64_6511`
64×	`neg-mul-1_binary64_6553` `distribute-lft-neg-in_binary64_6514`
59×	`associate--r+_binary64_6493`
57×	`neg-sub0_binary64_6552`
54×	`sqr-pow_binary64_6529`
53×	`distribute-neg-in_binary64_6518`
52×	`associate-+l-_binary64_6492`
51×	`distribute-neg-frac_binary64_6521`
38×	`+-commutative_binary64_6487`
34×	`pow-sqr_binary64_6530`
31×	`mul0-lft_binary64_6539`
30×	`mul0-rgt_binary64_6540`
25×	`sub0-neg_binary64_6544` `distribute-neg-out_binary64_6519` `associate-+r-_binary64_6491`
16×	`distribute-lft-out_binary64_6508`
14×	`cube-unmult_binary64_6594` `remove-double-neg_binary64_6545` `distribute-rgt1-in_binary64_6513`
12×	`+-rgt-identity_binary64_6542` `div0_binary64_6538`
11×	`associate--r-_binary64_6496` `associate--l+_binary64_6494`
10×	`exp-prod_binary64_6609`
9×	`exp-sum_binary64_6603`
7×	`difference-of-squares_binary64_6526`
6×	`pow-plus_binary64_6620` `cube-prod_binary64_6585` `swap-sqr_binary64_6524`
4×	`unpow3_binary64_6623` `cube-mult_binary64_6587` `sqr-neg_binary64_6571` `+-lft-identity_binary64_6541`
3×	`--rgt-identity_binary64_6543` `count-2_binary64_6505` `associate--l-_binary64_6495`
2×	`exp-sqrt_binary64_6610` `/-rgt-identity_binary64_6548` `cancel-sign-sub_binary64_6522` `distribute-lft-out--_binary64_6509`
1×	`prod-exp_binary64_6606` `1-exp_binary64_6601` `cube-div_binary64_6586` `sqr-abs_binary64_6572` `-rgt-identity_binary64_6547` `-lft-identity_binary64_6546` `*-inverses_binary64_6537` `+-inverses_binary64_6536`
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` `unpow2_binary64_6622` `unpow1/2_binary64_6621` `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` `div-exp_binary64_6608` `rec-exp_binary64_6607` `exp-diff_binary64_6605` `exp-neg_binary64_6604` `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-neg_binary64_6584` `rem-3cbrt-rft_binary64_6583` `rem-3cbrt-lft_binary64_6582` `rem-cbrt-cube_binary64_6581` `rem-cube-cbrt_binary64_6580` `rem-sqrt-square_binary64_6570` `rem-square-sqrt_binary64_6569` `mul-1-neg_binary64_6549` `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` `distribute-lft1-in_binary64_6512`

Counts

21 → 8

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	334
1	89	309
2	201	305
3	444	305
4	1110	305
5	3329	305

prune13.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	6	2	8
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	6	3	9

Error

0.0b

Counts

9 → 3

Compiler

Compiled 240 to 124 computations (48.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 y x) (-.f64 y x))
0.0b	(-.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
11.5b	(-.f64 (.f64 x x) (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (*.f64 2 2)))
26.6b	(/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (*.f64 2 2))) (-.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

rewrite320.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

84×	`add-sqr-sqrt_binary64_6579`
59×	`*-un-lft-identity_binary64_6557`
55×	`times-frac_binary64_6563`
34×	`difference-of-squares_binary64_6526`
31×	`add-cube-cbrt_binary64_6592`
24×	`cancel-sign-sub-inv_binary64_6523`
13×	`distribute-lft-out--_binary64_6509`
11×	`pow1_binary64_6618`
10×	`flip3--_binary64_6561` `flip--_binary64_6532`
8×	`add-exp-log_binary64_6595` `add-log-exp_binary64_6596` `add-cbrt-cube_binary64_6593`
7×	`swap-sqr_binary64_6524`
6×	`associate-/r*_binary64_6501`
5×	`associate-/l_binary64_6502` `associate-l_binary64_6498` `associate-r*_binary64_6497`
4×	`sub-neg_binary64_6550` `frac-times_binary64_6567` `distribute-rgt-in_binary64_6507` `distribute-lft-in_binary64_6506`
3×	`div-inv_binary64_6554`
2×	`associate-/l/_binary64_6504` `associate-/r/_binary64_6503` `diff-log_binary64_6649` `associate-l/_binary64_6500` `associate-r/_binary64_6499`
1×	`div-exp_binary64_6608` `cbrt-undiv_binary64_6591` `frac-2neg_binary64_6568` `div-sub_binary64_6562` `clear-num_binary64_6556` `pow2_binary64_6638` `pow-prod-down_binary64_6628` `pow-prod-up_binary64_6627` `pow-plus_binary64_6620` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `pow-sqr_binary64_6530` `unswap-sqr_binary64_6525` `*-commutative_binary64_6488`

Counts

4 → 152

Calls

4 calls:

17.0ms	(/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (*.f64 2 2))) (-.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
10.0ms	(*.f64 (-.f64 y x) (-.f64 y x))
7.0ms	(-.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
6.0ms	(-.f64 (.f64 x x) (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (*.f64 2 2)))

Compiler

Compiled 5812 to 2426 computations (58.3% saved)

series1.3s (6%)

Error

0.0b

Counts

4 → 65

Calls

4 calls:

660.0ms	(/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (*.f64 2 2))) (-.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
317.0ms	(-.f64 (.f64 x x) (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (*.f64 2 2)))
144.0ms	(*.f64 (-.f64 y x) (-.f64 y x))
112.0ms	(-.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

Compiler

Compiled 4112 to 2652 computations (35.5% saved)

simplify743.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

336×	`div-sub_binary64_6562`
223×	`distribute-neg-frac_binary64_6521`
213×	`cancel-sign-sub-inv_binary64_6523`
183×	`associate-r_binary64_6497`
179×	`associate-/l*_binary64_6502`
176×	`sub-neg_binary64_6550`
171×	`associate-l_binary64_6498`
163×	`unswap-sqr_binary64_6525`
154×	`*-commutative_binary64_6488`
137×	`neg-sub0_binary64_6552`
127×	`neg-mul-1_binary64_6553`
121×	`times-frac_binary64_6563`
115×	`exp-prod_binary64_6609`
110×	`associate-*l/_binary64_6500`
107×	`associate-/l/_binary64_6504`
98×	`distribute-rgt-in_binary64_6507`
96×	`associate-*r/_binary64_6499`
95×	`associate-/r*_binary64_6501`
91×	`distribute-lft-in_binary64_6506`
78×	`+-commutative_binary64_6487`
61×	`sqr-pow_binary64_6529`
59×	`cube-prod_binary64_6585`
53×	`swap-sqr_binary64_6524`
51×	`distribute-rgt-neg-in_binary64_6515`
49×	`associate-+r+_binary64_6489`
43×	`distribute-lft-neg-out_binary64_6516`
42×	`associate-+l+_binary64_6490`
37×	`associate-/r/_binary64_6503`
36×	`cube-div_binary64_6586` `*-rgt-identity_binary64_6547`
31×	`associate--l+_binary64_6494`
29×	`/-rgt-identity_binary64_6548` `pow-sqr_binary64_6530`
28×	`*-lft-identity_binary64_6546`
25×	`log-prod_binary64_6643` `difference-of-squares_binary64_6526` `distribute-lft-neg-in_binary64_6514`
24×	`unsub-neg_binary64_6551`
20×	`exp-sqrt_binary64_6610`
19×	`distribute-rgt-neg-out_binary64_6517`
18×	`div-exp_binary64_6608`
16×	`pow-plus_binary64_6620` `prod-exp_binary64_6606` `exp-sum_binary64_6603`
14×	`exp-diff_binary64_6605` `cube-unmult_binary64_6594` `associate--r+_binary64_6493`
13×	`unpow3_binary64_6623`
10×	`cube-mult_binary64_6587` `rem-sqrt-square_binary64_6570`
9×	`distribute-neg-in_binary64_6518` `associate-+r-_binary64_6491`
6×	`log-div_binary64_6644` `rem-square-sqrt_binary64_6569`
5×	`rem-3cbrt-lft_binary64_6582` `+-rgt-identity_binary64_6542`
4×	`rec-exp_binary64_6607` `div0_binary64_6538` `associate--r-_binary64_6496`
3×	`log-pow_binary64_6646` `unpow2_binary64_6622` `unpow1_binary64_6615` `remove-double-neg_binary64_6545` `*-inverses_binary64_6537` `distribute-rgt-out_binary64_6510`
2×	`count-2_binary64_6505`
1×	`log-rec_binary64_6645` `exp-lft-sqr_binary64_6612` `1-exp_binary64_6601` `exp-1-e_binary64_6600` `rem-log-exp_binary64_6598` `rem-3cbrt-rft_binary64_6583` `sqr-abs_binary64_6572` `sqr-neg_binary64_6571` `sub0-neg_binary64_6544` `remove-double-div_binary64_6533` `cancel-sign-sub_binary64_6522` `distribute-rgt-out--_binary64_6511` `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` `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-cbrt_binary64_6611` `exp-neg_binary64_6604` `e-exp-1_binary64_6602` `exp-0_binary64_6599` `rem-exp-log_binary64_6597` `cube-neg_binary64_6584` `rem-cbrt-cube_binary64_6581` `rem-cube-cbrt_binary64_6580` `mul-1-neg_binary64_6549` `--rgt-identity_binary64_6543` `+-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` `distribute-frac-neg_binary64_6520` `distribute-neg-out_binary64_6519` `distribute-rgt1-in_binary64_6513` `distribute-lft1-in_binary64_6512` `distribute-lft-out--_binary64_6509` `distribute-lft-out_binary64_6508` `associate--l-_binary64_6495`

Counts

217 → 566

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	366	6993
1	1014	6424
2	3599	6262

prune1.4s (6.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	564	2	566
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	565	4	569

Error

0.0b

Counts

569 → 4

Compiler

Compiled 22537 to 10343 computations (54.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (+.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (fabs.f64 (-.f64 y x)) 2))))
0.2b	(/.f64 (-.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (fabs.f64 (-.f64 y x)) 2))))
0.2b	(*.f64 (/.f64 (+.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (fabs.f64 (-.f64 y x)) 2)))) (/.f64 (-.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
0.2b	(-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (fabs.f64 (-.f64 y x)) 2)))

rewrite1.1s (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

294×	`add-sqr-sqrt_binary64_6579`
220×	`*-un-lft-identity_binary64_6557`
187×	`times-frac_binary64_6563`
139×	`sqrt-prod_binary64_6573`
95×	`difference-of-squares_binary64_6526`
68×	`add-cube-cbrt_binary64_6592`
61×	`associate-r_binary64_6497`
47×	`distribute-lft-out--_binary64_6509`
29×	`distribute-lft-out_binary64_6508`
26×	`associate-l_binary64_6498`
20×	`add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593`
16×	`cancel-sign-sub-inv_binary64_6523` `associate-/r*_binary64_6501`
9×	`associate-/l*_binary64_6502`
8×	`associate-/r/_binary64_6503`
6×	`add-log-exp_binary64_6596` `pow1_binary64_6618` `div-exp_binary64_6608` `cbrt-undiv_binary64_6591`
5×	`div-inv_binary64_6554`
4×	`flip3--_binary64_6561` `flip--_binary64_6532` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `unswap-sqr_binary64_6525` `associate-/l/_binary64_6504`
3×	`flip3-+_binary64_6560` `flip-+_binary64_6531`
2×	`frac-2neg_binary64_6568` `clear-num_binary64_6556`
1×	`diff-log_binary64_6649` `sub-neg_binary64_6550` `pow-prod-down_binary64_6628` `frac-times_binary64_6567` `associate-l/_binary64_6500` `associate-r/_binary64_6499` `*-commutative_binary64_6488` `div-sub_binary64_6562`

Counts

4 → 279

Calls

4 calls:

60.0ms	(*.f64 (/.f64 (+.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (fabs.f64 (-.f64 y x)) 2)))) (/.f64 (-.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
16.0ms	(/.f64 (-.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (fabs.f64 (-.f64 y x)) 2))))
14.0ms	(/.f64 (+.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (fabs.f64 (-.f64 y x)) 2))))
11.0ms	(-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (fabs.f64 (-.f64 y x)) 2)))

Compiler

Compiled 16315 to 8357 computations (48.8% saved)

series1.6s (7.1%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

700.0ms	(*.f64 (/.f64 (+.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (fabs.f64 (-.f64 y x)) 2)))) (/.f64 (-.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
349.0ms	(/.f64 (-.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (fabs.f64 (-.f64 y x)) 2))))
305.0ms	(/.f64 (+.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (fabs.f64 (-.f64 y x)) 2))))
161.0ms	(-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (fabs.f64 (-.f64 y x)) 2)))

Compiler

Compiled 2875 to 1750 computations (39.1% saved)

simplify890.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

710×	`times-frac_binary64_6563`
653×	`distribute-rgt-in_binary64_6507`
208×	`associate-*l/_binary64_6500`
197×	`associate-*r/_binary64_6499`
193×	`associate-/l*_binary64_6502`
192×	`*-commutative_binary64_6488`
153×	`associate-/l/_binary64_6504`
129×	`associate-l_binary64_6498`
119×	`div-sub_binary64_6562`
118×	`associate-r_binary64_6497`
113×	`sub-neg_binary64_6550`
103×	`distribute-lft-neg-out_binary64_6516` `distribute-lft-in_binary64_6506`
88×	`neg-mul-1_binary64_6553` `neg-sub0_binary64_6552`
82×	`distribute-rgt-neg-out_binary64_6517`
67×	`cancel-sign-sub-inv_binary64_6523`
48×	`associate-/r*_binary64_6501`
45×	`distribute-rgt-neg-in_binary64_6515`
41×	`distribute-neg-frac_binary64_6521` `associate-/r/_binary64_6503`
39×	`distribute-lft-neg-in_binary64_6514` `+-commutative_binary64_6487`
36×	`*-lft-identity_binary64_6546`
32×	`sqr-pow_binary64_6529`
31×	`log-div_binary64_6644`
30×	`*-rgt-identity_binary64_6547`
27×	`exp-prod_binary64_6609`
22×	`unswap-sqr_binary64_6525`
21×	`/-rgt-identity_binary64_6548`
19×	`log-prod_binary64_6643`
18×	`swap-sqr_binary64_6524`
16×	`cube-div_binary64_6586`
14×	`cube-prod_binary64_6585`
13×	`pow-sqr_binary64_6530` `distribute-neg-in_binary64_6518`
10×	`div-exp_binary64_6608`
9×	`prod-exp_binary64_6606` `cube-unmult_binary64_6594` `rem-sqrt-square_binary64_6570` `distribute-rgt-out_binary64_6510` `associate-+l+_binary64_6490` `associate-+r+_binary64_6489`
8×	`distribute-rgt-out--_binary64_6511` `associate-+r-_binary64_6491`
5×	`rem-square-sqrt_binary64_6569` `associate--r+_binary64_6493` `associate-+l-_binary64_6492`
4×	`unpow2_binary64_6622` `unpow1_binary64_6615` `exp-sum_binary64_6603`
3×	`rec-exp_binary64_6607` `exp-diff_binary64_6605` `unsub-neg_binary64_6551` `+-rgt-identity_binary64_6542` `difference-of-squares_binary64_6526` `distribute-lft-out_binary64_6508` `associate--r-_binary64_6496`
2×	`log-rec_binary64_6645` `unpow3_binary64_6623` `pow-plus_binary64_6620` `cube-mult_binary64_6587` `sqr-abs_binary64_6572` `remove-double-neg_binary64_6545` `cancel-sign-sub_binary64_6522`
1×	`exp-sqrt_binary64_6610` `1-exp_binary64_6601` `exp-1-e_binary64_6600` `rem-log-exp_binary64_6598` `rem-3cbrt-lft_binary64_6582` `mul-1-neg_binary64_6549` `*-inverses_binary64_6537` `distribute-lft-out--_binary64_6509`
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` `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-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-cbrt-cube_binary64_6581` `rem-cube-cbrt_binary64_6580` `sqr-neg_binary64_6571` `sub0-neg_binary64_6544` `--rgt-identity_binary64_6543` `+-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` `distribute-frac-neg_binary64_6520` `distribute-neg-out_binary64_6519` `distribute-rgt1-in_binary64_6513` `distribute-lft1-in_binary64_6512` `count-2_binary64_6505` `associate--l-_binary64_6495` `associate--l+_binary64_6494`

Counts

303 → 333

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	16313
1	1001	14774
2	3061	14770

prune1.2s (5.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	329	4	333
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	331	6	337

Error

Counts

337 → 6

Compiler

Compiled 19225 to 9836 computations (48.8% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (+.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (/.f64 (-.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (-.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))) (cbrt.f64 (*.f64 (+.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (/.f64 (-.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (-.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))))
0.5b	(cbrt.f64 (*.f64 (+.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (/.f64 (-.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (-.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
0.5b	(cbrt.f64 (*.f64 (+.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (/.f64 (-.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (-.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
0.5b	(cbrt.f64 (*.f64 (+.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (/.f64 (-.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (-.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))

rewrite715.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

75×	`cbrt-div_binary64_6589`
55×	`frac-times_binary64_6567`
35×	`associate-*l/_binary64_6500`
30×	`flip3-+_binary64_6560` `flip-+_binary64_6531`
20×	`associate-*r/_binary64_6499`
11×	`pow1_binary64_6618`
10×	`add-sqr-sqrt_binary64_6579`
9×	`pow1/3_binary64_6639`
8×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
7×	`cbrt-prod_binary64_6588`
6×	`add-exp-log_binary64_6595`
4×	`add-log-exp_binary64_6596` `add-cbrt-cube_binary64_6593` `swap-sqr_binary64_6524` `associate-l_binary64_6498` `associate-r_binary64_6497`
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` `unswap-sqr_binary64_6525` `*-commutative_binary64_6488`

Counts

4 → 108

Calls

4 calls:

16.0ms	(cbrt.f64 (*.f64 (+.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (/.f64 (-.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (-.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
15.0ms	(cbrt.f64 (*.f64 (+.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (/.f64 (-.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (-.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
15.0ms	(cbrt.f64 (*.f64 (+.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (/.f64 (-.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (-.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
11.0ms	(.f64 (cbrt.f64 (.f64 (+.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (/.f64 (-.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (-.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))) (cbrt.f64 (*.f64 (+.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (/.f64 (-.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (-.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))))

Compiler

Compiled 11555 to 6259 computations (45.8% saved)

series5.7s (26.2%)

Error

Counts

4 → 50

Calls

4 calls:

2.1s	(.f64 (cbrt.f64 (.f64 (+.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (/.f64 (-.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (-.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))) (cbrt.f64 (*.f64 (+.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (/.f64 (-.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (-.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))))
1.2s	(cbrt.f64 (*.f64 (+.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (/.f64 (-.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (-.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
1.1s	(cbrt.f64 (*.f64 (+.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (/.f64 (-.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (-.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
1.1s	(cbrt.f64 (*.f64 (+.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (/.f64 (-.f64 x (fabs.f64 (/.f64 (-.f64 y x) 2))) (-.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))

Compiler

Compiled 10925 to 6790 computations (37.8% saved)

simplify1.2s (5.5%)

Algorithm

1×	egg-herbie

Rules

437×	`times-frac_binary64_6563`
425×	`cancel-sign-sub-inv_binary64_6523`
357×	`distribute-rgt-in_binary64_6507`
263×	`associate-r_binary64_6497`
236×	`unswap-sqr_binary64_6525`
196×	`associate-l_binary64_6498`
179×	`sqr-pow_binary64_6529`
168×	`distribute-rgt-neg-in_binary64_6515`
145×	`*-commutative_binary64_6488`
141×	`distribute-lft-neg-in_binary64_6514`
109×	`sub-neg_binary64_6550`
76×	`pow-sqr_binary64_6530`
74×	`+-commutative_binary64_6487`
66×	`associate-/r*_binary64_6501`
64×	`associate-/l*_binary64_6502`
56×	`associate--l+_binary64_6494`
51×	`associate-+l+_binary64_6490`
50×	`neg-mul-1_binary64_6553` `neg-sub0_binary64_6552` `distribute-rgt-out_binary64_6510`
47×	`distribute-lft-neg-out_binary64_6516`
46×	`associate-+r+_binary64_6489`
45×	`distribute-lft-in_binary64_6506`
25×	`div-sub_binary64_6562`
24×	`unsub-neg_binary64_6551`
23×	`unpow1/3_binary64_6624`
22×	`/-rgt-identity_binary64_6548`
20×	`distribute-rgt-neg-out_binary64_6517`
19×	`exp-prod_binary64_6609`
17×	`log-prod_binary64_6643`
16×	`*-rgt-identity_binary64_6547` `associate--r+_binary64_6493`
14×	`*-lft-identity_binary64_6546`
11×	`distribute-rgt-out--_binary64_6511` `associate-*r/_binary64_6499`
10×	`swap-sqr_binary64_6524` `distribute-neg-in_binary64_6518`
9×	`cube-prod_binary64_6585` `distribute-neg-frac_binary64_6521` `associate-/r/_binary64_6503`
8×	`unpow2_binary64_6622` `pow-plus_binary64_6620` `unpow1_binary64_6615`
6×	`cube-unmult_binary64_6594` `associate-*l/_binary64_6500`
5×	`log-div_binary64_6644` `exp-sum_binary64_6603` `distribute-lft-out--_binary64_6509`
4×	`div-exp_binary64_6608` `prod-exp_binary64_6606` `rem-sqrt-square_binary64_6570` `difference-of-squares_binary64_6526` `distribute-lft-out_binary64_6508`
3×	`unpow3_binary64_6623` `cube-mult_binary64_6587` `cube-div_binary64_6586` `sqr-abs_binary64_6572` `count-2_binary64_6505`
2×	`log-pow_binary64_6646` `exp-sqrt_binary64_6610` `rec-exp_binary64_6607` `rem-3cbrt-lft_binary64_6582`
1×	`log-rec_binary64_6645` `exp-diff_binary64_6605` `1-exp_binary64_6601` `exp-1-e_binary64_6600` `rem-log-exp_binary64_6598` `rem-3cbrt-rft_binary64_6583` `rem-square-sqrt_binary64_6569` `*-inverses_binary64_6537` `+-inverses_binary64_6536` `distribute-lft1-in_binary64_6512` `associate--r-_binary64_6496` `associate-+l-_binary64_6492` `associate-+r-_binary64_6491`
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-neg_binary64_6604` `e-exp-1_binary64_6602` `exp-0_binary64_6599` `rem-exp-log_binary64_6597` `cube-neg_binary64_6584` `rem-cbrt-cube_binary64_6581` `rem-cube-cbrt_binary64_6580` `sqr-neg_binary64_6571` `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` `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-rgt1-in_binary64_6513` `associate-/l/_binary64_6504` `associate--l-_binary64_6495`

Counts

158 → 319

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	11784
1	782	11538
2	2839	10887

prune2.6s (12%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	319	0	319
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	319	6	325

Error

Counts

325 → 6

Compiler

Compiled 34322 to 18652 computations (45.7% saved)

regimes382.0ms (1.7%)

Accuracy

Total 0.0b remaining (90.8%)

Threshold costs 0.0b (90.8%)

Compiler

Compiled 5324 to 3244 computations (39.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64_6487`
2×	`sub-neg_binary64_6550`
1×	`neg-mul-1_binary64_6553` `neg-sub0_binary64_6552` `*-commutative_binary64_6488`
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` `unsub-neg_binary64_6551` `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	8	12
1	11	12
2	16	12
3	18	12
4	19	12

Proof

(+ f64 h0 (/ f64 (fabs f64 (- f64 h1 h0)) 2))

end0.0ms (0%)

sample1.5s (7%)

Algorithm

1×

intervals

Results

190.0ms	7721×	body	128	valid
9.0ms	107×	body	1024	valid
9.0ms	64×	body	512	valid
8.0ms	77×	body	2048	valid
1.0ms	31×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 1785 to 1091 computations (38.9% saved)

Details

analyze19.0ms (0.1%)

sample15.0ms (0.1%)

simplify905.0ms (4.1%)

prune2.0ms (0%)

localize5.0ms (0%)

rewrite18.0ms (0.1%)

series104.0ms (0.5%)

simplify113.0ms (0.5%)

prune13.0ms (0.1%)

localize13.0ms (0.1%)

rewrite320.0ms (1.5%)

series1.3s (6%)

simplify743.0ms (3.4%)

prune1.4s (6.3%)

localize16.0ms (0.1%)

rewrite1.1s (4.9%)

series1.6s (7.1%)

simplify890.0ms (4.1%)

prune1.2s (5.5%)

localize17.0ms (0.1%)

rewrite715.0ms (3.3%)

series5.7s (26.2%)

simplify1.2s (5.5%)

prune2.6s (12%)

regimes382.0ms (1.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.5s (7%)

Profiling