Details

Time bar (total: 4.5s)

analyze9.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 8 to 8 computations (0% saved)

sample221.0ms (4.9%)

Algorithm
intervals
Results
205.0ms256×pre128true
2.0ms256×body128valid
Compiler

Compiled 51 to 43 computations (15.7% saved)

simplify177.0ms (3.9%)

Algorithm
egg-herbie
Rules
593×unswap-sqr_binary64
559×cancel-sign-sub-inv_binary64
486×neg-mul-1_binary64
473×*-commutative_binary64
332×associate-*l*_binary64
269×associate-*r*_binary64
251×distribute-rgt-neg-out_binary64
219×sub-neg_binary64
218×distribute-rgt-neg-in_binary64 +-commutative_binary64
191×distribute-rgt-in_binary64
182×neg-sub0_binary64
179×distribute-lft-neg-in_binary64
156×distribute-neg-out_binary64
147×distribute-lft-in_binary64
145×associate-+l+_binary64
137×distribute-rgt-out_binary64
132×associate-+r+_binary64
114×unsub-neg_binary64
108×distribute-lft-out_binary64
102×distribute-neg-in_binary64
93×distribute-lft-neg-out_binary64
58×distribute-rgt-out--_binary64
51×distribute-lft-out--_binary64 associate--r+_binary64
48×remove-double-neg_binary64
47×associate--l+_binary64
45×associate-+l-_binary64
43×associate--l-_binary64
42×cube-prod_binary64
41×associate--r-_binary64
40×swap-sqr_binary64
30×sqr-pow_binary64
29×associate-+r-_binary64
24×pow-plus_binary64
21×sub0-neg_binary64
15×cube-unmult_binary64
14×mul0-rgt_binary64 mul0-lft_binary64
11×unpow3_binary64
10×sqr-neg_binary64 +-rgt-identity_binary64 associate-/r*_binary64
*-lft-identity_binary64 --rgt-identity_binary64
pow-sqr_binary64
unpow2_binary64 cube-mult_binary64
unpow1_binary64 associate-/l/_binary64
unpow1/2_binary64 1-exp_binary64 cube-neg_binary64 rem-sqrt-square_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-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-div_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_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 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-*l/_binary64 associate-*r/_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03164
18064
221364
351964
4170464
5321064
6473864
7491564

prune8.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
58.1b
Counts
3 → 1
Compiler

Compiled 129 to 96 computations (25.6% saved)

localize35.0ms (0.8%)

Local error

Found 4 expressions with local error:

1.0b
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6))
1.0b
(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 2 y)))
1.0b
(*.f64 11/2 (pow.f64 y 8))
62.0b
(+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8)))

rewrite289.0ms (6.4%)

Algorithm
rewrite-expression-head
Error
58.1b
Rules
20×add-log-exp_binary64
14×add-sqr-sqrt_binary64
11×*-un-lft-identity_binary64
sum-log_binary64 add-exp-log_binary64 add-cube-cbrt_binary64
unpow-prod-down_binary64 associate-*r*_binary64 cancel-sign-sub-inv_binary64
add-cbrt-cube_binary64
pow1_binary64
flip3-+_binary64 flip-+_binary64 prod-exp_binary64 unswap-sqr_binary64 sqr-pow_binary64 associate-*l*_binary64
associate-+l+_binary64 +-commutative_binary64 frac-add_binary64
pow-to-exp_binary64 pow-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64 distribute-lft-out_binary64 diff-log_binary64 flip3--_binary64 sub-neg_binary64 flip--_binary64
Counts
4 → 73
Calls

4 calls:

23.0ms
(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 2 y)))
19.0ms
(+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8)))
12.0ms
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6))
5.0ms
(*.f64 11/2 (pow.f64 y 8))
Compiler

Compiled 4742 to 3369 computations (29% saved)

series513.0ms (11.3%)

Error
57.1b
Counts
4 → 30
Calls

4 calls:

162.0ms
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6))
159.0ms
(+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8)))
102.0ms
(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 2 y)))
48.0ms
(*.f64 11/2 (pow.f64 y 8))
Compiler

Compiled 2365 to 1892 computations (20% saved)

simplify170.0ms (3.7%)

Algorithm
egg-herbie
Rules
777×distribute-rgt-in_binary64
272×cancel-sign-sub-inv_binary64
244×exp-prod_binary64
161×unswap-sqr_binary64
150×associate-*r*_binary64
149×associate-*l*_binary64
143×times-frac_binary64
132×log-prod_binary64
120×distribute-rgt-neg-in_binary64
109×*-commutative_binary64
105×distribute-lft-neg-in_binary64
98×sub-neg_binary64
89×sqr-pow_binary64
76×cube-prod_binary64
73×distribute-lft-in_binary64
67×distribute-rgt-out_binary64
58×swap-sqr_binary64
51×unpow3_binary64
50×neg-mul-1_binary64
46×neg-sub0_binary64
44×+-commutative_binary64
37×log-pow_binary64 distribute-lft-out_binary64
36×distribute-lft-neg-out_binary64
35×distribute-neg-in_binary64 associate-+l+_binary64
22×distribute-rgt-out--_binary64
21×distribute-neg-frac_binary64
19×associate-*r/_binary64
18×cube-mult_binary64 associate--r+_binary64
17×unsub-neg_binary64 associate-*l/_binary64
16×associate--l+_binary64 associate-+r+_binary64
15×exp-sum_binary64 distribute-rgt-neg-out_binary64
13×prod-exp_binary64
11×pow-plus_binary64 pow-sqr_binary64
exp-diff_binary64 associate-/r*_binary64
cube-unmult_binary64 distribute-lft-out--_binary64
rem-sqrt-square_binary64 div-sub_binary64 difference-of-squares_binary64
associate-+l-_binary64
unpow2_binary64 unpow1_binary64 cube-div_binary64 associate-/l*_binary64 associate--l-_binary64
associate-+r-_binary64
unpow1/2_binary64 rem-square-sqrt_binary64
exp-lft-sqr_binary64 exp-sqrt_binary64 div-exp_binary64 1-exp_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_binary64 +-rgt-identity_binary64 distribute-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 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-cbrt_binary64 rec-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 sqr-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 +-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 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate--r-_binary64
Counts
103 → 316
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01944215
15163999
217623699
346223699
449543699
549703699

prune2.3s (51.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New3151316
Fresh000
Picked101
Done000
Total3161317
Error
57.1b
Counts
317 → 1
Compiler

Compiled 25428 to 16954 computations (33.3% saved)

localize7.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Error
57.1b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error
57.1b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Rules
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 1-exp_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 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 mul0-rgt_binary64 mul0-lft_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 swap-sqr_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-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_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 associate-*r*_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 +-commutative_binary64
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Error
57.1b
Counts
1 → 1
Compiler

Compiled 0 to 0 computations (0% saved)

regimes68.0ms (1.5%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 1092 to 818 computations (25.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
11316
21316

end0.0ms (0%)

sample707.0ms (15.6%)

Algorithm
intervals
Results
132.0ms8000×pre128true
65.0ms8000×body128valid
Compiler

Compiled 353 to 268 computations (24.1% saved)

Profiling

Loading profile data...