Details

Time bar (total: 816.0ms)

analyze118.0ms (14.5%)

Algorithm
search
egg-herbie
Rules
549×associate-*l*_binary64
481×sqr-pow_binary64
476×associate-/r/_binary64
454×times-frac_binary64
374×associate-*r*_binary64
345×exp-prod_binary64
298×pow-sqr_binary64
248×associate-/r*_binary64
244×unswap-sqr_binary64
186×swap-sqr_binary64
166×associate-/l/_binary64
141×associate-/l*_binary64
122×cube-prod_binary64
121×pow-plus_binary64
104×unpow3_binary64
76×distribute-rgt-out_binary64
75×*-commutative_binary64
72×associate-*r/_binary64
38×prod-exp_binary64 cube-mult_binary64
37×distribute-lft-out_binary64
35×cube-unmult_binary64
34×exp-lft-sqr_binary64
33×associate-*l/_binary64
30×exp-sqrt_binary64
22×unpow2_binary64
20×rem-sqrt-square_binary64
17×unpow1/2_binary64
10×unpow1_binary64
/-rgt-identity_binary64
rem-square-sqrt_binary64
*-rgt-identity_binary64
distribute-rgt1-in_binary64
*-lft-identity_binary64
remove-double-div_binary64
1-exp_binary64 exp-1-e_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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_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 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_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 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 +-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
11818
23518
36418
413418
529818
666318
7169618
8291418
9357818
10491018
11491918
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
62.4%37.5%0.1%5
62.4%31.2%6.3%6
68.7%18.7%12.6%7
68.7%15.6%15.7%8
71.8%9.4%18.8%9
71.8%7.8%20.4%10
73.4%4.7%22%11
73.4%3.9%22.7%12
74.1%2.3%23.5%13
74.1%2%23.9%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample14.0ms (1.7%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 13 to 13 computations (0% saved)

simplify64.0ms (7.9%)

Algorithm
egg-herbie
Rules
664×unswap-sqr_binary64
517×sqr-pow_binary64
463×associate-/l*_binary64
362×exp-prod_binary64
332×pow-sqr_binary64
312×associate-*l*_binary64
309×associate-/r/_binary64
264×associate-*r/_binary64
229×*-commutative_binary64
220×times-frac_binary64
216×associate-*r*_binary64
211×associate-*l/_binary64
137×associate-/r*_binary64
126×prod-exp_binary64
125×swap-sqr_binary64
119×cube-prod_binary64
112×associate-/l/_binary64
78×pow-plus_binary64
53×unpow3_binary64
50×exp-sqrt_binary64
46×rem-sqrt-square_binary64
42×cube-mult_binary64
31×cube-unmult_binary64
28×exp-lft-sqr_binary64 distribute-rgt-out_binary64
24×unpow2_binary64
16×*-lft-identity_binary64 distribute-lft-out_binary64
14×unpow1_binary64
12×rem-square-sqrt_binary64 /-rgt-identity_binary64
10×unpow1/2_binary64
*-rgt-identity_binary64
remove-double-div_binary64
distribute-rgt1-in_binary64
1-exp_binary64 exp-1-e_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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_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 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_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 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 +-commutative_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
1129
2239
3419
4859
51939
64349
710809
829269
933229
1041019
1151279

prune2.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0b
Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*r*_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
add-log-exp_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
1 → 18
Calls

1 calls:

5.0ms
(*.f64 (*.f64 x y) y)
Compiler

Compiled 186 to 67 computations (64% saved)

series15.0ms (1.9%)

Error
0b
Counts
1 → 6
Calls

1 calls:

14.0ms
(*.f64 (*.f64 x y) y)
Compiler

Compiled 78 to 78 computations (0% saved)

simplify64.0ms (7.9%)

Algorithm
egg-herbie
Rules
373×associate-*l*_binary64
319×unswap-sqr_binary64
312×associate-*r/_binary64
263×associate-*l/_binary64
242×associate-/l*_binary64
210×associate-/l/_binary64
193×log-div_binary64 cube-div_binary64
187×associate-/r/_binary64
172×associate-*r*_binary64
164×sqr-pow_binary64
157×distribute-rgt-in_binary64
152×log-prod_binary64
144×exp-prod_binary64 *-commutative_binary64
143×distribute-lft-in_binary64
103×associate-/r*_binary64
83×associate-+l+_binary64
62×pow-sqr_binary64 associate-+r+_binary64
61×times-frac_binary64
50×cube-prod_binary64
45×+-commutative_binary64
27×unpow3_binary64 exp-sqrt_binary64
24×cube-mult_binary64
23×rem-sqrt-square_binary64
19×log-pow_binary64 pow-plus_binary64
18×swap-sqr_binary64 distribute-lft-out_binary64
17×*-rgt-identity_binary64 distribute-rgt-out_binary64
16×*-lft-identity_binary64
10×unpow1/2_binary64
count-2_binary64
exp-lft-sqr_binary64 cube-unmult_binary64
distribute-rgt1-in_binary64
unpow2_binary64 distribute-lft1-in_binary64
log-rec_binary64
unpow1_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_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 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-cbrt_binary64 div-exp_binary64 rec-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_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-square-sqrt_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_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 difference-of-squares_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 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
24 → 19
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037245
193200
2298200
3590198
4875198
51700198
64160198
75057198

prune5.0ms (0.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New19019
Fresh000
Picked011
Done000
Total19120
Error
0b
Counts
20 → 1
Compiler

Compiled 89 to 33 computations (62.9% saved)

regimes32.0ms (4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 62 to 82 computations (-32.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.3%)

Algorithm
egg-herbie
Rules
*-commutative_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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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 +-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
189
289

end1.0ms (0.1%)

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample479.0ms (58.7%)

Algorithm
intervals
Results
201.0ms8000×body128valid
3.0ms116×body128invalid
Compiler

Compiled 22 to 27 computations (-22.7% saved)

Profiling

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