Details

Time bar (total: 5.7s)

analyze745.0ms (13.1%)

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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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)

sample58.0ms (1%)

Algorithm
intervals
Results
16.0ms36×body2048valid
11.0ms143×body128valid
10.0ms33×body1024valid
6.0ms27×body512valid
3.0ms16×body256valid
1.0msbody4096valid
Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify9.0ms (0.2%)

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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
35.1b
Counts
1 → 1
Compiler

Compiled 13 to 11 computations (15.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

6.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
28.8b
(sin.f64 (/.f64 x (*.f64 y 2)))
28.9b
(tan.f64 (/.f64 x (*.f64 y 2)))

rewrite88.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
35.1b
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)

series106.0ms (1.9%)

Error
26.4b
Counts
3 → 27
Calls

3 calls:

40.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
34.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
20.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
Compiler

Compiled 862 to 709 computations (17.7% saved)

simplify127.0ms (2.2%)

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 fabs-mul_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 fabs-div_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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
549751387
649931387
749551387

prune19.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New11718
Fresh000
Picked011
Done000
Total11819
Error
28.5b
Counts
19 → 8
Compiler

Compiled 323 to 241 computations (25.4% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 (/.f64 x y) (/.f64 x y))

rewrite116.0ms (2%)

Algorithm
rewrite-expression-head
Error
28.5b
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:

10.0ms
(*.f64 (/.f64 x y) (/.f64 x y))
Compiler

Compiled 1240 to 469 computations (62.2% saved)

series22.0ms (0.4%)

Error
28.5b
Counts
1 → 6
Calls

1 calls:

20.0ms
(*.f64 (/.f64 x y) (/.f64 x y))
Compiler

Compiled 143 to 143 computations (0% saved)

simplify93.0ms (1.6%)

Algorithm
egg-herbie
Rules
726×associate-/l*_binary64
529×associate-*l/_binary64
408×times-frac_binary64
392×unswap-sqr_binary64 associate-*r/_binary64
350×log-div_binary64
349×associate-/l/_binary64
304×log-prod_binary64
200×associate-/r*_binary64
153×associate-/r/_binary64
144×*-commutative_binary64
94×associate-*l*_binary64
93×cube-div_binary64
92×cube-prod_binary64
91×associate-*r*_binary64
72×*-rgt-identity_binary64
66×exp-prod_binary64
58×sqr-pow_binary64
53×*-lft-identity_binary64
32×fabs-div_binary64
31×log-rec_binary64 fabs-mul_binary64
30×swap-sqr_binary64
29×/-rgt-identity_binary64
25×log-pow_binary64 sub-neg_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
fabs-sqr_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 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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 → 68
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01081186
1308957
2970791
33564725
44614725
55169725

prune80.0ms (1.4%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New59968
Fresh066
Picked011
Done011
Total591776
Error
28.4b
Counts
76 → 17
Compiler

Compiled 962 to 558 computations (42% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(pow.f64 (cbrt.f64 (/.f64 x y)) 4)
14.7b
(cbrt.f64 (/.f64 x y))
14.7b
(cbrt.f64 (/.f64 x y))
14.7b
(cbrt.f64 (/.f64 x y))

rewrite204.0ms (3.6%)

Algorithm
rewrite-expression-head
Error
28.4b
Rules
52×cbrt-prod_binary64
36×times-frac_binary64
34×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
16×unpow-prod-down_binary64
pow1_binary64 add-exp-log_binary64
pow1/3_binary64 add-log-exp_binary64 add-cbrt-cube_binary64 div-inv_binary64
cbrt-div_binary64 pow-unpow_binary64
pow-pow_binary64
pow-to-exp_binary64 pow-exp_binary64 sqr-pow_binary64
Counts
4 → 97
Calls

4 calls:

4.0ms
(pow.f64 (cbrt.f64 (/.f64 x y)) 4)
2.0ms
(cbrt.f64 (/.f64 x y))
2.0ms
(cbrt.f64 (/.f64 x y))
2.0ms
(cbrt.f64 (/.f64 x y))
Compiler

Compiled 2601 to 986 computations (62.1% saved)

series224.0ms (3.9%)

Error
28.4b
Counts
4 → 24
Calls

4 calls:

62.0ms
(pow.f64 (cbrt.f64 (/.f64 x y)) 4)
45.0ms
(cbrt.f64 (/.f64 x y))
44.0ms
(cbrt.f64 (/.f64 x y))
42.0ms
(cbrt.f64 (/.f64 x y))
Compiler

Compiled 1798 to 1325 computations (26.3% saved)

simplify113.0ms (2%)

Algorithm
egg-herbie
Rules
614×times-frac_binary64
342×unswap-sqr_binary64
310×exp-sum_binary64
273×*-commutative_binary64
229×exp-prod_binary64
204×exp-diff_binary64
182×log-prod_binary64
173×sqr-pow_binary64
153×cube-prod_binary64
112×associate-+r+_binary64
108×associate-*l*_binary64
102×prod-exp_binary64
95×associate-*r*_binary64
92×fabs-mul_binary64 distribute-rgt-in_binary64
83×associate-+r-_binary64
82×pow-plus_binary64
81×distribute-lft-in_binary64
68×cube-unmult_binary64
63×sub-neg_binary64
59×rem-sqrt-square_binary64
56×div-sub_binary64 associate--r+_binary64
53×associate-/l*_binary64
48×associate-+l+_binary64
45×associate-+l-_binary64
44×log-pow_binary64 associate--r-_binary64
42×associate-*r/_binary64
40×unsub-neg_binary64 pow-sqr_binary64 associate-/r*_binary64
37×associate-*l/_binary64
36×swap-sqr_binary64
35×associate--l+_binary64
31×associate-/l/_binary64
29×unpow2_binary64
28×log-div_binary64 unpow1/2_binary64 unpow1_binary64
27×associate--l-_binary64 +-commutative_binary64
25×rem-3cbrt-rft_binary64
24×cube-div_binary64
20×exp-to-pow_binary64 neg-mul-1_binary64 neg-sub0_binary64 distribute-neg-out_binary64
16×exp-neg_binary64
14×associate-/r/_binary64
13×unpow3_binary64 cancel-sign-sub-inv_binary64
12×cube-mult_binary64
11×unpow1/3_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-rgt-out_binary64
rem-exp-log_binary64 distribute-rgt-neg-in_binary64
fabs-sqr_binary64 distribute-frac-neg_binary64 distribute-lft-out_binary64
sub0-neg_binary64 distribute-lft-neg-out_binary64 distribute-lft-neg-in_binary64 count-2_binary64
log-rec_binary64 div-exp_binary64 *-rgt-identity_binary64 +-rgt-identity_binary64
fabs-div_binary64 --rgt-identity_binary64
rem-log-exp_binary64 /-rgt-identity_binary64
rec-exp_binary64 rem-cbrt-cube_binary64 *-lft-identity_binary64 remove-double-neg_binary64
1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 fabs-fabs_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 e-exp-1_binary64 exp-0_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 fabs-neg_binary64 fabs-sub_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64
Counts
121 → 85
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01381942
12571834
24941791
312281534
432251438
548851438

prune88.0ms (1.5%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New78785
Fresh6814
Picked101
Done112
Total8616102
Error
28.4b
Counts
102 → 16
Compiler

Compiled 1456 to 762 computations (47.7% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.2b
(*.f64 x (/.f64 x (*.f64 y y)))
11.1b
(/.f64 x (*.f64 y y))

rewrite96.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
28.3b
Rules
16×add-exp-log_binary64 add-cbrt-cube_binary64
11×add-sqr-sqrt_binary64
add-cube-cbrt_binary64 times-frac_binary64 *-un-lft-identity_binary64 associate-*r*_binary64
prod-exp_binary64 cbrt-unprod_binary64
pow1_binary64 div-exp_binary64 cbrt-undiv_binary64
associate-/l*_binary64 associate-*l*_binary64
add-log-exp_binary64 div-inv_binary64 unswap-sqr_binary64
frac-2neg_binary64 clear-num_binary64 associate-/r*_binary64 pow-prod-down_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
2 → 49
Calls

2 calls:

7.0ms
(*.f64 x (/.f64 x (*.f64 y y)))
4.0ms
(/.f64 x (*.f64 y y))
Compiler

Compiled 801 to 325 computations (59.4% saved)

series42.0ms (0.7%)

Error
28.4b
Counts
2 → 12
Calls

2 calls:

20.0ms
(*.f64 x (/.f64 x (*.f64 y y)))
18.0ms
(/.f64 x (*.f64 y y))
Compiler

Compiled 286 to 271 computations (5.2% saved)

simplify118.0ms (2.1%)

Algorithm
egg-herbie
Rules
644×times-frac_binary64
289×associate-/l*_binary64
271×associate-*l*_binary64
241×associate-*r*_binary64
235×unswap-sqr_binary64
232×associate-*l/_binary64
211×associate-*r/_binary64
210×log-prod_binary64
178×cube-prod_binary64
174×distribute-rgt-in_binary64
170×associate-/r*_binary64
153×exp-prod_binary64
150×sqr-pow_binary64
143×swap-sqr_binary64
127×distribute-lft-in_binary64
115×unsub-neg_binary64
105×log-div_binary64
97×cube-div_binary64
94×sub-neg_binary64
68×div-sub_binary64
66×neg-mul-1_binary64
65×cancel-sign-sub-inv_binary64
64×unpow3_binary64
62×neg-sub0_binary64 associate-/l/_binary64
60×associate-/r/_binary64
55×cube-mult_binary64 associate-+l+_binary64
51×distribute-neg-in_binary64
49×*-commutative_binary64
42×fabs-mul_binary64
39×associate-+r+_binary64
33×log-pow_binary64
32×pow-sqr_binary64
30×associate--l+_binary64
27×rem-sqrt-square_binary64
26×fabs-div_binary64 distribute-rgt-neg-in_binary64
24×pow-plus_binary64
23×*-rgt-identity_binary64 distribute-lft-neg-in_binary64
22×*-lft-identity_binary64
20×distribute-lft-out--_binary64
19×associate--r+_binary64 associate-+l-_binary64
16×associate-+r-_binary64
14×+-commutative_binary64
13×log-rec_binary64 cube-unmult_binary64 distribute-lft-out_binary64
12×distribute-rgt-out_binary64
10×/-rgt-identity_binary64
+-rgt-identity_binary64
unpow1/2_binary64
fabs-sqr_binary64
distribute-neg-frac_binary64 distribute-rgt-out--_binary64 count-2_binary64 associate--l-_binary64
unpow2_binary64
--rgt-identity_binary64 distribute-neg-out_binary64
unpow1_binary64 remove-double-neg_binary64 sub0-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt1-in_binary64 associate--r-_binary64
exp-diff_binary64 exp-sum_binary64 1-exp_binary64 exp-1-e_binary64 fabs-sub_binary64 rem-square-sqrt_binary64 +-lft-identity_binary64 distribute-lft1-in_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-neg_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 fabs-neg_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 mul-1-neg_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-frac-neg_binary64
Counts
61 → 44
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
070731
1161602
2540578
32182550
43420539
54572503
64990503
74935503

prune30.0ms (0.5%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New42244
Fresh11314
Picked011
Done011
Total431760
Error
28.4b
Counts
60 → 17
Compiler

Compiled 275 to 161 computations (41.5% saved)

regimes1.0s (18.1%)

Accuracy

Total -0.7b remaining (-2.4%)

Threshold costs -0.7b (-2.4%)

Compiler

Compiled 14577 to 11155 computations (23.5% saved)

bsearch1.0ms (0%)

Steps
ItersRangePoint
0
4.762836469454598
4.906546481331782
4.83469147539319
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64 *-lft-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 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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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 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
01546
11946
21846

end1.0ms (0%)

Compiler

Compiled 30 to 24 computations (20% saved)

sample2.2s (39.5%)

Algorithm
intervals
Results
551.0ms1178×body2048valid
408.0ms1295×body1024valid
313.0ms4224×body128valid
190.0ms825×body512valid
77.0ms470×body256valid
9.0msbody4096valid
Compiler

Compiled 435 to 334 computations (23.2% saved)

Profiling

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