Details

Time bar (total: 1.9s)

analyze113.0ms (5.9%)

Algorithm
search
egg-herbie
Rules
164×distribute-rgt-in_binary64
100×distribute-lft-in_binary64
94×unsub-neg_binary64
91×cancel-sign-sub-inv_binary64
69×associate-*l*_binary64
65×associate-*r*_binary64
59×sub-neg_binary64
45×associate--r+_binary64
44×distribute-rgt-neg-out_binary64
39×distribute-lft-neg-out_binary64
35×neg-mul-1_binary64
34×+-lft-identity_binary64
30×neg-sub0_binary64
29×associate-+l-_binary64
28×distribute-rgt-neg-in_binary64
24×sub0-neg_binary64
22×mul0-rgt_binary64 mul0-lft_binary64
19×*-commutative_binary64
16×associate-+r+_binary64
13×distribute-lft-neg-in_binary64
12×distribute-neg-in_binary64 distribute-rgt-out--_binary64 associate-+r-_binary64 associate-+l+_binary64
10×associate--r-_binary64
+-commutative_binary64
--rgt-identity_binary64
*-rgt-identity_binary64 *-lft-identity_binary64
distribute-rgt-out_binary64 associate--l+_binary64
remove-double-neg_binary64
swap-sqr_binary64
sqr-neg_binary64 distribute-lft-out--_binary64
1-exp_binary64 +-rgt-identity_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
12220
26320
311120
420420
527020
634720
763820
856920
953520
1053520
1153520
1246820
022
122
Search
TrueOtherFalseIter
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
25%74.9%0.1%5
37.5%62.4%0.1%6
50%37.5%12.6%7
56.2%31.2%12.6%8
62.4%18.7%18.8%9
65.6%15.6%18.8%10
68.7%9.4%22%11
70.2%7.8%22%12
71.8%4.7%23.5%13
72.6%3.9%23.5%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.8%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify21.0ms (1.1%)

Algorithm
egg-herbie
Rules
84×distribute-rgt-in_binary64
50×cancel-sign-sub-inv_binary64 distribute-lft-in_binary64
45×unsub-neg_binary64
41×associate-*l*_binary64
34×sub-neg_binary64
33×associate-*r*_binary64
25×associate--r+_binary64
22×distribute-rgt-neg-out_binary64
21×distribute-lft-neg-out_binary64
19×neg-mul-1_binary64
18×neg-sub0_binary64
17×+-lft-identity_binary64
15×distribute-rgt-neg-in_binary64
14×mul0-rgt_binary64 mul0-lft_binary64 associate-+l-_binary64
12×sub0-neg_binary64
11×*-commutative_binary64
associate-+r+_binary64
distribute-lft-neg-in_binary64
*-rgt-identity_binary64 distribute-neg-in_binary64
*-lft-identity_binary64 distribute-rgt-out--_binary64 associate-+r-_binary64 associate-+l+_binary64 +-commutative_binary64
remove-double-neg_binary64 --rgt-identity_binary64 distribute-rgt-out_binary64 associate--r-_binary64
associate--l+_binary64
+-rgt-identity_binary64 swap-sqr_binary64
1-exp_binary64 sqr-neg_binary64 mul-1-neg_binary64 distribute-lft-out--_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 /-rgt-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--l-_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11510
23710
36610
412410
516310
620110
737310
833610
931910
1026810

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.1b
Counts
1 → 1
Compiler

Compiled 7 to 6 computations (14.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b
(*.f64 (*.f64 x y) (-.f64 1 y))

rewrite42.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-sqr-sqrt_binary64 *-un-lft-identity_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 cancel-sign-sub-inv_binary64 associate-*r*_binary64
add-cube-cbrt_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64
sub-neg_binary64 associate-*r/_binary64 difference-of-squares_binary64
add-log-exp_binary64 flip3--_binary64 flip--_binary64 associate-*l*_binary64 distribute-lft-out--_binary64 *-commutative_binary64
Counts
1 → 31
Calls

1 calls:

8.0ms
(*.f64 (*.f64 x y) (-.f64 1 y))
Compiler

Compiled 414 to 214 computations (48.3% saved)

series25.0ms (1.3%)

Error
0.0b
Counts
1 → 9
Calls

1 calls:

21.0ms
(*.f64 (*.f64 x y) (-.f64 1 y))
Compiler

Compiled 146 to 115 computations (21.2% saved)

simplify88.0ms (4.6%)

Algorithm
egg-herbie
Rules
442×exp-prod_binary64
417×associate-+l+_binary64
385×unswap-sqr_binary64
354×*-commutative_binary64
313×neg-mul-1_binary64
310×neg-sub0_binary64
204×associate-+r+_binary64
193×distribute-rgt-neg-out_binary64
186×distribute-lft-neg-out_binary64
173×sqr-pow_binary64 distribute-rgt-in_binary64
170×associate-*l*_binary64
161×unsub-neg_binary64
159×distribute-lft-in_binary64
118×associate-*r*_binary64
116×sub-neg_binary64
77×+-commutative_binary64
76×log-prod_binary64
69×exp-sum_binary64
52×distribute-rgt-neg-in_binary64
51×distribute-lft-neg-in_binary64
50×associate-+l-_binary64
49×exp-neg_binary64
46×exp-diff_binary64
43×cube-prod_binary64
42×*-lft-identity_binary64
38×swap-sqr_binary64
36×*-rgt-identity_binary64
34×associate-+r-_binary64
33×div-sub_binary64
31×pow-sqr_binary64
28×difference-of-squares_binary64
23×sub0-neg_binary64
20×cancel-sign-sub-inv_binary64 associate-/l*_binary64
19×unpow3_binary64
17×distribute-rgt-out_binary64
14×mul0-rgt_binary64 mul0-lft_binary64
13×distribute-rgt-out--_binary64
12×unpow1/2_binary64
11×+-rgt-identity_binary64
cube-unmult_binary64
pow-plus_binary64 cube-mult_binary64 sqr-neg_binary64 difference-of-sqr-1_binary64
log-pow_binary64 rem-sqrt-square_binary64 remove-double-neg_binary64
distribute-neg-in_binary64
unpow2_binary64 cube-neg_binary64 fabs-mul_binary64 difference-of-sqr--1_binary64
--rgt-identity_binary64 distribute-rgt1-in_binary64 distribute-lft-out_binary64 count-2_binary64
unpow1_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 fabs-sqr_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 +-lft-identity_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 associate-/l/_binary64 associate-*r/_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 times-frac_binary64 /-rgt-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 associate-/r/_binary64 associate-/r*_binary64 associate-*l/_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64
Counts
40 → 37
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
078515
1212451
2653449
31418442
43006442
54801442
64952442

prune20.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New32537
Fresh000
Picked101
Done000
Total33538
Error
0.0b
Counts
38 → 5
Compiler

Compiled 264 to 127 computations (51.9% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 y x) (neg.f64 (*.f64 y (*.f64 y x))))
0.2b
(*.f64 y (*.f64 y x))

rewrite42.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64
pow-prod-down_binary64 prod-exp_binary64 add-cube-cbrt_binary64 cbrt-unprod_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 associate-*l*_binary64
sum-log_binary64
associate-*r*_binary64 *-commutative_binary64 neg-log_binary64 flip3-+_binary64 unsub-neg_binary64 flip-+_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-rgt-neg-in_binary64 distribute-lft-out_binary64 neg-sub0_binary64 associate-+r-_binary64 +-commutative_binary64
Counts
2 → 34
Calls

2 calls:

5.0ms
(*.f64 y (*.f64 y x))
4.0ms
(+.f64 (*.f64 y x) (neg.f64 (*.f64 y (*.f64 y x))))
Compiler

Compiled 529 to 129 computations (75.6% saved)

series44.0ms (2.3%)

Error
0.0b
Counts
2 → 15
Calls

2 calls:

22.0ms
(+.f64 (*.f64 y x) (neg.f64 (*.f64 y (*.f64 y x))))
16.0ms
(*.f64 y (*.f64 y x))
Compiler

Compiled 282 to 223 computations (20.9% saved)

simplify81.0ms (4.3%)

Algorithm
egg-herbie
Rules
518×unsub-neg_binary64
356×distribute-rgt-neg-out_binary64
327×distribute-rgt-in_binary64
290×times-frac_binary64
288×unswap-sqr_binary64
256×distribute-lft-in_binary64
230×*-commutative_binary64
203×cancel-sign-sub-inv_binary64
139×distribute-rgt-out_binary64
128×associate-*l*_binary64
126×difference-of-squares_binary64
124×neg-sub0_binary64
123×associate-*r*_binary64
113×distribute-neg-out_binary64
111×neg-mul-1_binary64
107×cube-prod_binary64
106×exp-prod_binary64 distribute-rgt-neg-in_binary64
104×log-prod_binary64
101×sub-neg_binary64
86×sqr-pow_binary64
84×distribute-neg-in_binary64
82×distribute-lft-neg-in_binary64
81×distribute-lft-out_binary64
71×distribute-rgt-out--_binary64
69×distribute-lft-neg-out_binary64
56×exp-sum_binary64
47×distribute-lft-out--_binary64
46×swap-sqr_binary64
45×remove-double-neg_binary64
43×mul0-rgt_binary64 mul0-lft_binary64
36×exp-diff_binary64
30×associate--r+_binary64
29×cube-neg_binary64 sqr-neg_binary64
27×+-commutative_binary64
25×associate-+l+_binary64 associate-+r+_binary64
22×unpow3_binary64
19×associate-+l-_binary64
17×pow-sqr_binary64 distribute-rgt1-in_binary64
16×cube-mult_binary64
15×div-sub_binary64
14×associate--l+_binary64
13×sub0-neg_binary64
12×exp-neg_binary64
distribute-frac-neg_binary64 associate--r-_binary64 associate--l-_binary64
pow-plus_binary64 mul-1-neg_binary64 associate-/l*_binary64
+-rgt-identity_binary64 associate-+r-_binary64
log-pow_binary64 cancel-sign-sub_binary64 distribute-lft1-in_binary64
fabs-mul_binary64 --rgt-identity_binary64
unpow1/2_binary64 cube-unmult_binary64 associate-/r*_binary64
unpow2_binary64 unpow1_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 fabs-sqr_binary64 rem-sqrt-square_binary64 /-rgt-identity_binary64 +-lft-identity_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 count-2_binary64 associate-*r/_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 distribute-neg-frac_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-*l/_binary64
Counts
49 → 40
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
074587
1207499
2835482
32570480
44403480
54932480

prune25.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New39140
Fresh134
Picked011
Done000
Total40545
Error
0.0b
Counts
45 → 5
Compiler

Compiled 341 to 132 computations (61.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 x (*.f64 x y))
0.1b
(*.f64 y (-.f64 x (*.f64 x y)))

rewrite39.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-sqr-sqrt_binary64
pow1_binary64 add-exp-log_binary64 add-log-exp_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64
sub-neg_binary64 cancel-sign-sub-inv_binary64 associate-*l*_binary64 associate-*r*_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64 flip3--_binary64 associate-*r/_binary64 flip--_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64 diff-log_binary64
Counts
2 → 36
Calls

2 calls:

6.0ms
(*.f64 y (-.f64 x (*.f64 x y)))
3.0ms
(-.f64 x (*.f64 x y))
Compiler

Compiled 489 to 114 computations (76.7% saved)

series41.0ms (2.1%)

Error
0.0b
Counts
2 → 18
Calls

2 calls:

20.0ms
(*.f64 y (-.f64 x (*.f64 x y)))
15.0ms
(-.f64 x (*.f64 x y))
Compiler

Compiled 297 to 226 computations (23.9% saved)

simplify67.0ms (3.5%)

Algorithm
egg-herbie
Rules
504×distribute-rgt-neg-out_binary64
283×unsub-neg_binary64
226×neg-sub0_binary64 *-commutative_binary64
220×neg-mul-1_binary64
202×unswap-sqr_binary64
192×cancel-sign-sub-inv_binary64
167×distribute-neg-out_binary64
165×sqr-pow_binary64
140×exp-prod_binary64
134×distribute-rgt-in_binary64
123×distribute-lft-in_binary64
119×distribute-rgt-neg-in_binary64
117×distribute-lft-neg-out_binary64
103×log-prod_binary64 sub-neg_binary64
101×distribute-lft-neg-in_binary64
97×cube-prod_binary64
89×associate-*l*_binary64
73×exp-sum_binary64
71×associate-*r*_binary64
70×associate-+r+_binary64
68×+-commutative_binary64
66×associate-+l+_binary64
59×distribute-rgt-out_binary64
58×difference-of-squares_binary64
54×div-sub_binary64
46×swap-sqr_binary64
43×exp-diff_binary64
36×distribute-neg-in_binary64
35×times-frac_binary64
31×pow-sqr_binary64
27×*-rgt-identity_binary64 *-lft-identity_binary64
21×distribute-lft-out_binary64
19×+-rgt-identity_binary64
18×remove-double-neg_binary64
17×distribute-rgt-out--_binary64
16×unpow3_binary64 associate-/l*_binary64
15×distribute-frac-neg_binary64 associate-+l-_binary64
14×mul0-rgt_binary64 mul0-lft_binary64 distribute-rgt1-in_binary64 associate-+r-_binary64
13×sqr-neg_binary64
10×cube-mult_binary64 sub0-neg_binary64
associate-/r*_binary64 associate--r+_binary64
distribute-lft-out--_binary64
cube-unmult_binary64 cube-neg_binary64 distribute-lft1-in_binary64
unpow1/2_binary64 rem-sqrt-square_binary64 mul-1-neg_binary64
associate-/l/_binary64 associate-*r/_binary64
log-pow_binary64 fabs-mul_binary64 difference-of-sqr-1_binary64 distribute-neg-frac_binary64 associate--l+_binary64
pow-plus_binary64 +-lft-identity_binary64 difference-of-sqr--1_binary64 count-2_binary64 associate-/r/_binary64
unpow2_binary64 unpow1_binary64 div-exp_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 fabs-sqr_binary64 associate--r-_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 /-rgt-identity_binary64 --rgt-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 cancel-sign-sub_binary64 associate-*l/_binary64 associate--l-_binary64
Counts
54 → 39
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
077664
1177601
2539598
31228598
42448598
55121598

prune18.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New37239
Fresh123
Picked101
Done011
Total39544
Error
0.0b
Counts
44 → 5
Compiler

Compiled 287 to 104 computations (63.8% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
0.2b
(cbrt.f64 (-.f64 1 y))
0.2b
(cbrt.f64 (-.f64 1 y))
0.2b
(cbrt.f64 (-.f64 1 y))

rewrite149.0ms (7.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
50×cbrt-prod_binary64
44×add-sqr-sqrt_binary64
42×*-un-lft-identity_binary64
18×cbrt-div_binary64
15×add-cube-cbrt_binary64
14×difference-of-squares_binary64
11×pow1_binary64 swap-sqr_binary64
pow1/3_binary64 flip3--_binary64 flip--_binary64 distribute-lft-out--_binary64 associate-*l*_binary64 associate-*r*_binary64
add-exp-log_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 frac-times_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64 associate-*l/_binary64 associate-*r/_binary64
pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
4 → 107
Calls

4 calls:

12.0ms
(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
5.0ms
(cbrt.f64 (-.f64 1 y))
4.0ms
(cbrt.f64 (-.f64 1 y))
3.0ms
(cbrt.f64 (-.f64 1 y))
Compiler

Compiled 2483 to 1762 computations (29% saved)

series85.0ms (4.4%)

Error
0.0b
Counts
4 → 30
Calls

4 calls:

23.0ms
(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
13.0ms
(cbrt.f64 (-.f64 1 y))
11.0ms
(cbrt.f64 (-.f64 1 y))
11.0ms
(cbrt.f64 (-.f64 1 y))
Compiler

Compiled 1472 to 1188 computations (19.3% saved)

simplify156.0ms (8.2%)

Algorithm
egg-herbie
Rules
485×cancel-sign-sub-inv_binary64
230×associate-*l*_binary64
224×exp-sum_binary64
213×distribute-rgt-in_binary64
190×associate-*r*_binary64
180×associate-+l-_binary64
177×distribute-lft-in_binary64
170×associate-+l+_binary64
164×distribute-rgt-neg-in_binary64
160×sub-neg_binary64
140×distribute-lft-neg-in_binary64
118×exp-diff_binary64
107×associate--r+_binary64
104×log-prod_binary64
102×exp-prod_binary64
101×*-commutative_binary64
96×associate-+r-_binary64
91×unswap-sqr_binary64
78×log-div_binary64
73×associate--l+_binary64
71×sqr-pow_binary64
68×distribute-rgt-out_binary64
67×unsub-neg_binary64 distribute-lft-out_binary64
56×associate-/r*_binary64
51×neg-sub0_binary64
50×distribute-neg-in_binary64
47×neg-mul-1_binary64
38×+-commutative_binary64
36×swap-sqr_binary64
34×associate--r-_binary64
28×distribute-lft-neg-out_binary64
26×log-pow_binary64 cube-prod_binary64
25×associate--l-_binary64
24×fabs-mul_binary64 distribute-rgt-out--_binary64
23×*-lft-identity_binary64 distribute-rgt-neg-out_binary64 distribute-lft-out--_binary64
22×*-rgt-identity_binary64
20×pow-plus_binary64 sub0-neg_binary64
19×unpow3_binary64
18×associate-/l*_binary64 associate-+r+_binary64
13×cube-unmult_binary64 div-sub_binary64 pow-sqr_binary64 associate-/l/_binary64
11×distribute-rgt1-in_binary64
exp-to-pow_binary64
unpow1/3_binary64
rem-sqrt-square_binary64
associate-*r/_binary64
+-rgt-identity_binary64 cancel-sign-sub_binary64 count-2_binary64
log-rec_binary64 unpow2_binary64 prod-exp_binary64 exp-neg_binary64 difference-of-sqr-1_binary64 distribute-neg-out_binary64 associate-/r/_binary64
unpow1/2_binary64 rem-exp-log_binary64 mul-1-neg_binary64
rem-3cbrt-lft_binary64 fabs-sqr_binary64 --rgt-identity_binary64
log-E_binary64 unpow1_binary64 div-exp_binary64 1-exp_binary64 exp-1-e_binary64 cube-mult_binary64 rem-3cbrt-rft_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 remove-double-neg_binary64 +-inverses_binary64 distribute-frac-neg_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 pow-base-0_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 cube-div_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 times-frac_binary64 /-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-squares_binary64 distribute-neg-frac_binary64 distribute-lft1-in_binary64 associate-*l/_binary64
Counts
137 → 88
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01322200
12712112
26952002
317561928
444061855
549591855
649541855

prune70.0ms (3.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New88088
Fresh033
Picked011
Done011
Total88593
Error
0.0b
Counts
93 → 5
Compiler

Compiled 1503 to 1028 computations (31.6% saved)

regimes221.0ms (11.6%)

Accuracy

Total 0.1b remaining (67.6%)

Threshold costs 0.1b (67.6%)

Compiler

Compiled 2434 to 1690 computations (30.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
sub-neg_binary64 +-commutative_binary64
neg-mul-1_binary64 neg-sub0_binary64 distribute-rgt-neg-in_binary64
distribute-lft-neg-in_binary64
cancel-sign-sub-inv_binary64
distribute-lft-neg-out_binary64
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 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 unsub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
11313
22313
33413
44013
54313
64413
74413

end1.0ms (0%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

sample517.0ms (27.1%)

Algorithm
intervals
Results
193.0ms8000×body128valid
4.0ms179×body128invalid
Compiler

Compiled 73 to 55 computations (24.7% saved)

Profiling

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