Details

Time bar (total: 6.7s)

analyze776.0ms (11.5%)

Algorithm
search
egg-herbie
Rules
associate-/r*_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 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-*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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01440
12040
22440
32440
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
0%99.9%0.1%5
0%99.9%0.1%6
18.7%81.2%0.1%7
32.8%67.1%0.1%8
38.2%61.7%0.1%9
41%58.9%0.1%10
43.9%56%0.1%11
45.4%54.5%0.1%12
46.9%53%0.1%13
47.6%52.3%0.1%14
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample53.0ms (0.8%)

Algorithm
intervals
Results
12.0ms157×body128valid
11.0ms25×body2048valid
11.0ms36×body1024valid
5.0ms23×body512valid
3.0ms15×body256valid
Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
associate-/r*_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 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-*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
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
11220
21420
31420

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
32.8b
Counts
1 → 1
Compiler

Compiled 13 to 11 computations (15.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

7.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
24.5b
(sin.f64 (/.f64 x (*.f64 y 2)))
24.6b
(tan.f64 (/.f64 x (*.f64 y 2)))

rewrite90.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
32.8b
Rules
11×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64 add-log-exp_binary64 associate-/l*_binary64 associate-/r*_binary64
tan-quot_binary64
div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l/_binary64
Counts
3 → 43
Calls

3 calls:

5.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
2.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
Compiler

Compiled 1002 to 736 computations (26.5% saved)

series108.0ms (1.6%)

Error
22.8b
Counts
3 → 27
Calls

3 calls:

39.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
33.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
21.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
Compiler

Compiled 862 to 709 computations (17.7% saved)

simplify127.0ms (1.9%)

Algorithm
egg-herbie
Rules
568×associate-*l/_binary64
527×associate-/r*_binary64
509×associate-*r/_binary64
402×associate-*l*_binary64
282×associate-/l/_binary64
216×unswap-sqr_binary64
212×associate-/r/_binary64
144×times-frac_binary64
132×associate-/l*_binary64
127×div-sub_binary64
125×distribute-neg-frac_binary64
114×distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
90×neg-mul-1_binary64
88×neg-sub0_binary64
86×cancel-sign-sub-inv_binary64
63×associate-*r*_binary64
51×sub-neg_binary64
45×sqr-pow_binary64
42×*-commutative_binary64
30×unpow3_binary64
24×cube-unmult_binary64
20×pow-plus_binary64
17×cube-div_binary64
15×cube-mult_binary64
13×cube-prod_binary64
12×*-lft-identity_binary64
*-rgt-identity_binary64 distribute-rgt-out_binary64 +-commutative_binary64
pow-sqr_binary64
/-rgt-identity_binary64 div0_binary64 distribute-rgt-out--_binary64 distribute-lft-out_binary64
log-div_binary64 unpow1/2_binary64 associate-+l-_binary64 associate-+r-_binary64
log-prod_binary64 unpow2_binary64 unpow1_binary64 exp-prod_binary64 rem-sqrt-square_binary64 sub0-neg_binary64 +-rgt-identity_binary64 distribute-lft-out--_binary64 associate--l-_binary64
1-exp_binary64 exp-1-e_binary64 remove-double-neg_binary64 count-2_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 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 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 unsub-neg_binary64 mul-1-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_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 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 associate--r-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l+_binary64 associate-+r+_binary64
Counts
70 → 18
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0821525
11591405
23521387
312321387
443971387
549711387
649891387
749511387

prune21.0ms (0.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New10818
Fresh000
Picked101
Done000
Total11819
Error
24.5b
Counts
19 → 8
Compiler

Compiled 345 to 259 computations (24.9% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b
(*.f64 (/.f64 x y) (/.f64 x y))

rewrite111.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
24.5b
Rules
41×add-sqr-sqrt_binary64
40×times-frac_binary64
29×add-cube-cbrt_binary64 *-un-lft-identity_binary64
13×add-exp-log_binary64 add-cbrt-cube_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64
pow1_binary64
div-exp_binary64 prod-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-inv_binary64
pow2_binary64 pow-prod-down_binary64 pow-prod-up_binary64 pow-plus_binary64 add-log-exp_binary64 frac-times_binary64 pow-sqr_binary64 associate-*l/_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
1 → 67
Calls

1 calls:

11.0ms
(*.f64 (/.f64 x y) (/.f64 x y))
Compiler

Compiled 1240 to 469 computations (62.2% saved)

series23.0ms (0.3%)

Error
24.5b
Counts
1 → 6
Calls

1 calls:

22.0ms
(*.f64 (/.f64 x y) (/.f64 x y))
Compiler

Compiled 143 to 143 computations (0% saved)

simplify95.0ms (1.4%)

Algorithm
egg-herbie
Rules
726×associate-/l*_binary64
529×associate-*l/_binary64
408×times-frac_binary64
392×unswap-sqr_binary64 associate-*r/_binary64
349×associate-/l/_binary64
309×log-div_binary64
287×log-prod_binary64
200×associate-/r*_binary64
153×associate-/r/_binary64
144×*-commutative_binary64
110×swap-sqr_binary64
94×associate-*l*_binary64
91×cube-div_binary64 associate-*r*_binary64
86×cube-prod_binary64
72×*-rgt-identity_binary64
60×exp-prod_binary64
58×sqr-pow_binary64
53×*-lft-identity_binary64
29×/-rgt-identity_binary64
27×log-rec_binary64
25×sub-neg_binary64
24×log-pow_binary64
17×pow-sqr_binary64
16×pow-plus_binary64
12×associate-+r+_binary64
11×unpow3_binary64 neg-mul-1_binary64 neg-sub0_binary64 remove-double-div_binary64
10×associate-+l+_binary64
cube-unmult_binary64
unsub-neg_binary64
cube-mult_binary64 distribute-neg-in_binary64
rem-sqrt-square_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64 +-commutative_binary64
unpow1/2_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 count-2_binary64
unpow2_binary64 unpow1_binary64 rem-square-sqrt_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 associate--r-_binary64
1-exp_binary64 exp-1-e_binary64 --rgt-identity_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 associate--l+_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-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-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-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_binary64 mul-1-neg_binary64 sub0-neg_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-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 associate--l-_binary64
Counts
73 → 67
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01081210
13081019
2966853
33549779
44703779
55182779

prune74.0ms (1.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New62567
Fresh077
Picked101
Done000
Total631275
Error
24.4b
Counts
75 → 12
Compiler

Compiled 937 to 534 computations (43% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5) (cbrt.f64 (/.f64 x y)))
0.6b
(pow.f64 (cbrt.f64 (/.f64 x y)) 5)
14.6b
(cbrt.f64 (/.f64 x y))
14.6b
(cbrt.f64 (/.f64 x y))

rewrite286.0ms (4.2%)

Algorithm
rewrite-expression-head
Error
24.4b
Rules
81×cbrt-prod_binary64
79×add-sqr-sqrt_binary64
53×times-frac_binary64
44×add-cube-cbrt_binary64 *-un-lft-identity_binary64
41×unpow-prod-down_binary64
20×associate-*l*_binary64
16×associate-*r*_binary64
15×unswap-sqr_binary64
10×add-exp-log_binary64
pow1_binary64
add-cbrt-cube_binary64 div-inv_binary64 sqr-pow_binary64
add-log-exp_binary64
pow1/3_binary64 cbrt-div_binary64 pow-unpow_binary64 prod-exp_binary64
pow-pow_binary64 pow-to-exp_binary64 pow-exp_binary64
pow-prod-up_binary64 pow-plus_binary64 cbrt-unprod_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
4 → 141
Calls

4 calls:

16.0ms
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5) (cbrt.f64 (/.f64 x y)))
5.0ms
(pow.f64 (cbrt.f64 (/.f64 x y)) 5)
2.0ms
(cbrt.f64 (/.f64 x y))
2.0ms
(cbrt.f64 (/.f64 x y))
Compiler

Compiled 3279 to 1448 computations (55.8% saved)

series214.0ms (3.2%)

Error
24.4b
Counts
4 → 24
Calls

4 calls:

71.0ms
(pow.f64 (cbrt.f64 (/.f64 x y)) 5)
44.0ms
(cbrt.f64 (/.f64 x y))
44.0ms
(cbrt.f64 (/.f64 x y))
36.0ms
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5) (cbrt.f64 (/.f64 x y)))
Compiler

Compiled 1271 to 1119 computations (12% saved)

simplify157.0ms (2.3%)

Algorithm
egg-herbie
Rules
913×times-frac_binary64
537×log-prod_binary64
322×*-commutative_binary64
245×sqr-pow_binary64
205×unswap-sqr_binary64
137×associate-*l*_binary64
130×exp-prod_binary64
125×associate-*r*_binary64
107×log-div_binary64
105×cube-prod_binary64
82×exp-sum_binary64
77×distribute-rgt-in_binary64
65×sub-neg_binary64
62×swap-sqr_binary64
61×log-pow_binary64
56×exp-diff_binary64 div-sub_binary64
50×associate-/l*_binary64
48×cube-div_binary64
45×associate-*r/_binary64
42×associate-*l/_binary64
36×unsub-neg_binary64
33×pow-sqr_binary64
32×associate-/r*_binary64
26×*-rgt-identity_binary64
25×*-lft-identity_binary64
24×neg-sub0_binary64
23×pow-plus_binary64 neg-mul-1_binary64
21×associate-+r-_binary64
20×distribute-frac-neg_binary64 distribute-rgt-neg-out_binary64
19×associate-/l/_binary64
18×unpow3_binary64
17×distribute-lft-neg-out_binary64
15×distribute-rgt-neg-in_binary64 distribute-lft-in_binary64 +-commutative_binary64
14×cube-mult_binary64 rem-sqrt-square_binary64
13×log-rec_binary64 distribute-neg-in_binary64
12×exp-neg_binary64 distribute-neg-out_binary64 associate-/r/_binary64 associate-+r+_binary64
11×cube-unmult_binary64 cancel-sign-sub-inv_binary64 distribute-lft-neg-in_binary64 associate-+l-_binary64
unpow1/3_binary64 exp-to-pow_binary64 associate--r-_binary64
rem-exp-log_binary64
associate--l-_binary64
/-rgt-identity_binary64 sub0-neg_binary64 distribute-rgt-out_binary64 distribute-lft-out_binary64
+-rgt-identity_binary64 associate-+l+_binary64
unpow1/2_binary64 --rgt-identity_binary64
unpow1_binary64 rem-cube-cbrt_binary64 mul-1-neg_binary64
unpow2_binary64 remove-double-neg_binary64 distribute-lft-out--_binary64 count-2_binary64 associate--l+_binary64 associate--r+_binary64
1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 rem-3cbrt-lft_binary64 sqr-abs_binary64 distribute-rgt-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 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 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 sqr-neg_binary64 rem-square-sqrt_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_binary64 distribute-neg-frac_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64
Counts
165 → 116
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02042971
14122895
211372836
322302646
446292646
552292646

prune157.0ms (2.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1106116
Fresh2911
Picked101
Done000
Total11315128
Error
24.4b
Counts
128 → 15
Compiler

Compiled 2148 to 1127 computations (47.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

14.6b
(cbrt.f64 (/.f64 x y))
29.0b
(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5))
29.0b
(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5))
29.0b
(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5))

rewrite292.0ms (4.3%)

Algorithm
rewrite-expression-head
Error
24.4b
Rules
112×cbrt-prod_binary64
48×unpow-prod-down_binary64
38×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
36×times-frac_binary64
pow1/3_binary64 pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 div-inv_binary64
sqr-pow_binary64
cbrt-div_binary64
Counts
4 → 106
Calls

4 calls:

5.0ms
(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5))
5.0ms
(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5))
5.0ms
(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5))
2.0ms
(cbrt.f64 (/.f64 x y))
Compiler

Compiled 4385 to 2227 computations (49.2% saved)

series349.0ms (5.2%)

Error
24.3b
Counts
4 → 24
Calls

4 calls:

86.0ms
(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5))
85.0ms
(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5))
82.0ms
(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5))
49.0ms
(cbrt.f64 (/.f64 x y))
Compiler

Compiled 2920 to 2114 computations (27.6% saved)

simplify175.0ms (2.6%)

Algorithm
egg-herbie
Rules
356×associate-*l*_binary64
339×exp-prod_binary64
324×associate-*r*_binary64
295×exp-diff_binary64
236×distribute-rgt-in_binary64
214×distribute-lft-in_binary64
184×sqr-pow_binary64
171×exp-sum_binary64
120×associate--r+_binary64
118×unswap-sqr_binary64
110×sub-neg_binary64
97×div-sub_binary64
94×unsub-neg_binary64
87×log-pow_binary64
75×associate--l+_binary64
73×cancel-sign-sub-inv_binary64
69×exp-to-pow_binary64
67×*-commutative_binary64
60×associate--r-_binary64
59×associate-/l*_binary64
58×log-prod_binary64
46×neg-sub0_binary64
43×neg-mul-1_binary64
42×associate-/r*_binary64
39×distribute-rgt-neg-out_binary64 associate--l-_binary64
36×log-div_binary64 distribute-neg-out_binary64
32×distribute-neg-in_binary64
31×cube-unmult_binary64 associate-/l/_binary64
30×exp-neg_binary64 distribute-lft-neg-out_binary64 associate-+r-_binary64
29×pow-plus_binary64 distribute-rgt-out_binary64
28×distribute-rgt-neg-in_binary64
27×distribute-lft-out_binary64
21×+-commutative_binary64
20×distribute-lft-neg-in_binary64
17×associate-+l-_binary64
15×associate-*r/_binary64
14×distribute-frac-neg_binary64
13×associate-/r/_binary64
12×log-rec_binary64 unpow1/3_binary64 pow-sqr_binary64
11×associate-+r+_binary64
10×times-frac_binary64 sub0-neg_binary64 count-2_binary64
+-rgt-identity_binary64 distribute-rgt-out--_binary64
rem-exp-log_binary64
--rgt-identity_binary64 associate-*l/_binary64 associate-+l+_binary64
*-rgt-identity_binary64 remove-double-neg_binary64
rem-sqrt-square_binary64 /-rgt-identity_binary64 *-lft-identity_binary64 distribute-lft-out--_binary64
prod-exp_binary64 rem-3cbrt-lft_binary64
div-exp_binary64 rec-exp_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 pow-base-0_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_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 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 mul-1-neg_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 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64
Counts
130 → 59
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01842773
13502698
25772627
314712519
444402460
549552460
648572460

prune96.0ms (1.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New59059
Fresh01414
Picked011
Done000
Total591574
Error
24.4b
Counts
74 → 15
Compiler

Compiled 1599 to 869 computations (45.7% saved)

regimes1.2s (17.4%)

Accuracy

Total 3.4b remaining (12.3%)

Threshold costs 0b (0%)

Compiler

Compiled 15336 to 12074 computations (21.3% saved)

bsearch5.0ms (0.1%)

Steps
ItersRangePoint
4
16.83805754344334
27.723373623287277
27.383207495792153
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
1-exp_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 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
01751
12051
21951

end1.0ms (0%)

Compiler

Compiled 33 to 27 computations (18.2% saved)

sample2.3s (34.1%)

Algorithm
intervals
Results
521.0ms1105×body2048valid
407.0ms1309×body1024valid
345.0ms4323×body128valid
203.0ms816×body512valid
78.0ms443×body256valid
5.0msbody4096valid
Compiler

Compiled 379 to 313 computations (17.4% saved)

Profiling

Loading profile data...