Details

Time bar (total: 1.2s)

analyze396.0ms (32.3%)

Algorithm
search
egg-herbie
Rules
60×cancel-sign-sub-inv_binary64
58×distribute-rgt-in_binary64
40×sub-neg_binary64
38×distribute-lft-neg-out_binary64
34×distribute-rgt-neg-in_binary64 associate-*r*_binary64
30×distribute-lft-in_binary64 associate--r+_binary64
28×distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 associate-*l*_binary64
26×neg-mul-1_binary64 neg-sub0_binary64
20×unsub-neg_binary64 *-commutative_binary64
16×distribute-lft-neg-in_binary64
14×associate-+l-_binary64
10×sub0-neg_binary64
remove-double-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 +-commutative_binary64
distribute-rgt-out--_binary64 associate-+l+_binary64
*-lft-identity_binary64 --rgt-identity_binary64 +-lft-identity_binary64 associate--r-_binary64 associate--l+_binary64
+-rgt-identity_binary64 swap-sqr_binary64 associate-+r-_binary64 associate-+r+_binary64
1-exp_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 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_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 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-rgt-out_binary64 distribute-lft-out--_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
11620
23620
36620
49320
514220
624520
734320
835920
937320
1032820
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
50%50%0.1%4
50%50%0.1%5
68.7%31.2%0.1%6
71.8%28.1%0.1%7
73.4%14%12.6%8
74.1%13.3%12.6%9
74.5%6.6%18.8%10
74.7%6.4%18.8%11
74.8%3.2%22%12
74.9%3.2%22%13
74.9%1.6%23.5%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample24.0ms (2%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify17.0ms (1.4%)

Algorithm
egg-herbie
Rules
44×distribute-rgt-in_binary64
38×cancel-sign-sub-inv_binary64
28×distribute-lft-in_binary64
27×unsub-neg_binary64
26×sub-neg_binary64
22×neg-mul-1_binary64 distribute-lft-neg-out_binary64 associate-*r*_binary64
21×neg-sub0_binary64 associate--r+_binary64
20×distribute-neg-in_binary64 distribute-rgt-neg-in_binary64
18×associate-*l*_binary64
17×distribute-rgt-neg-out_binary64
13×*-commutative_binary64
12×distribute-lft-neg-in_binary64
associate-+l-_binary64
associate--r-_binary64
remove-double-neg_binary64 sub0-neg_binary64
*-lft-identity_binary64 +-commutative_binary64
mul0-rgt_binary64 mul0-lft_binary64
+-lft-identity_binary64 associate-+l+_binary64
*-rgt-identity_binary64 --rgt-identity_binary64 associate--l+_binary64
1-exp_binary64 +-rgt-identity_binary64 swap-sqr_binary64 distribute-rgt-out--_binary64 associate-+r-_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-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 sqr-abs_binary64 sqr-neg_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-rgt-out_binary64 distribute-lft-out--_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
11010
22110
33910
45610
58310
613410
719610
824610
925910
1024910
1121210

prune3.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Compiler

Compiled 7 to 6 computations (14.3% saved)

localize6.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

rewrite23.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-log-exp_binary64 add-sqr-sqrt_binary64 cancel-sign-sub-inv_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
diff-log_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip3--_binary64 sub-neg_binary64 flip--_binary64 difference-of-squares_binary64
Counts
1 → 15
Calls

1 calls:

7.0ms
(-.f64 (*.f64 x x) y)
Compiler

Compiled 207 to 86 computations (58.5% saved)

series108.0ms (8.8%)

Error
0.0b
Counts
1 → 12
Calls

1 calls:

100.0ms
(-.f64 (*.f64 x x) y)
Compiler

Compiled 186 to 176 computations (5.4% saved)

simplify69.0ms (5.6%)

Algorithm
egg-herbie
Rules
689×unswap-sqr_binary64
645×associate-*l*_binary64
497×associate-*r*_binary64
274×distribute-rgt-in_binary64
244×distribute-lft-in_binary64
209×cancel-sign-sub-inv_binary64
204×distribute-rgt-neg-out_binary64
179×unsub-neg_binary64
145×times-frac_binary64
135×*-commutative_binary64
101×exp-prod_binary64
92×distribute-neg-in_binary64
81×sqr-pow_binary64
79×exp-sum_binary64
70×cube-prod_binary64
58×neg-sub0_binary64
51×sub-neg_binary64
46×difference-of-squares_binary64
44×distribute-lft-neg-out_binary64
38×mul0-rgt_binary64
37×mul0-lft_binary64
36×neg-mul-1_binary64
35×distribute-neg-out_binary64
34×pow-plus_binary64
29×unpow3_binary64 cube-unmult_binary64
28×associate-+r+_binary64
24×pow-sqr_binary64 swap-sqr_binary64 associate-+l+_binary64 +-commutative_binary64
20×exp-diff_binary64
19×distribute-rgt-out_binary64
15×distribute-lft-neg-in_binary64
14×sqr-neg_binary64
13×distribute-rgt-neg-in_binary64
12×cube-mult_binary64 distribute-lft-out_binary64
log-prod_binary64 sub0-neg_binary64
associate-+l-_binary64
mul-1-neg_binary64 +-rgt-identity_binary64 associate-+r-_binary64
div-sub_binary64
exp-neg_binary64 cube-neg_binary64 rem-sqrt-square_binary64 associate-/l*_binary64 associate--r+_binary64
--rgt-identity_binary64 distribute-frac-neg_binary64 associate-*r/_binary64
unpow2_binary64 +-lft-identity_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/r*_binary64
unpow1/2_binary64 unpow1_binary64 div-exp_binary64 1-exp_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 *-rgt-identity_binary64 remove-double-neg_binary64 cancel-sign-sub_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 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-1-e_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 sqr-abs_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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-neg-frac_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 count-2_binary64 associate-*l/_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64
Counts
27 → 19
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043244
1100214
2197214
3669214
42421214
54639214
64953214

prune12.0ms (1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New19019
Fresh000
Picked011
Done000
Total19120
Error
0.0b
Counts
20 → 1
Compiler

Compiled 148 to 65 computations (56.1% saved)

regimes71.0ms (5.8%)

Accuracy

Total 0.0b remaining (12.9%)

Threshold costs 0.0b (12.9%)

Compiler

Compiled 294 to 254 computations (13.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.3%)

Algorithm
egg-herbie
Rules
sub-neg_binary64 *-commutative_binary64 +-commutative_binary64
neg-mul-1_binary64 neg-sub0_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 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-inv_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 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21510
31710
41810
51810

end0.0ms (0%)

sample493.0ms (40.2%)

Algorithm
intervals
Results
176.0ms8000×body128valid
3.0ms150×body128invalid
Compiler

Compiled 67 to 59 computations (11.9% saved)

Profiling

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