Details

Time bar (total: 6.8s)

analyze911.0ms (13.4%)

Algorithm
search
egg-herbie
Rules
32×associate-/l*_binary64
22×associate-/r/_binary64 associate-*r/_binary64
20×associate-/r*_binary64
10×times-frac_binary64 associate-/l/_binary64 associate-*l/_binary64 *-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 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 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--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026154
183154
2157154
3173154
4171154
5171154
044
144
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
9.4%90.4%0.2%10
14%83.4%2.5%11
18.7%78.2%3.1%12
28.1%65.5%6.4%13
30.7%59.4%9.9%14
Compiler

Compiled 16 to 12 computations (25% saved)

sample38.0ms (0.6%)

Algorithm
intervals
Results
10.0ms256×body128valid
8.0ms207×body128invalid
Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
associate-/l*_binary64
associate-/r/_binary64 associate-*r/_binary64
associate-/r*_binary64
times-frac_binary64 associate-/l/_binary64 associate-*l/_binary64 *-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 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 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--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01222
12522
24322
35122
44922
54922

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
33.1b
Counts
1 → 1
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

21.7b
(/.f64 (*.f64 x x) (*.f64 y y))
21.8b
(/.f64 (*.f64 z z) (*.f64 t t))

rewrite79.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
3.4b
Rules
26×add-exp-log_binary64 add-cbrt-cube_binary64
prod-exp_binary64 div-exp_binary64 cbrt-undiv_binary64 cbrt-unprod_binary64
pow1_binary64 add-log-exp_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 frac-2neg_binary64 times-frac_binary64 *-un-lft-identity_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 associate-/r*_binary64
Counts
2 → 42
Calls

2 calls:

6.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
6.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 918 to 174 computations (81% saved)

series46.0ms (0.7%)

Error
33.1b
Counts
2 → 12
Calls

2 calls:

23.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
21.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
Compiler

Compiled 390 to 334 computations (14.4% saved)

simplify67.0ms (1%)

Algorithm
egg-herbie
Rules
658×associate-/l*_binary64
562×unswap-sqr_binary64
430×associate-*l/_binary64
324×associate-*l*_binary64
318×associate-/r*_binary64
278×associate-*r/_binary64
248×associate-*r*_binary64
200×associate-/l/_binary64
198×times-frac_binary64
156×associate-/r/_binary64
140×sub-neg_binary64
136×sqr-pow_binary64
86×log-prod_binary64
64×log-div_binary64
60×cube-prod_binary64
58×*-commutative_binary64
52×cube-div_binary64
44×unpow3_binary64
40×neg-mul-1_binary64
38×neg-sub0_binary64
36×pow-plus_binary64
34×cube-mult_binary64 associate-+l+_binary64
32×cancel-sign-sub-inv_binary64
28×pow-sqr_binary64 swap-sqr_binary64 associate-+r+_binary64 +-commutative_binary64
26×unsub-neg_binary64 associate--l+_binary64 associate--r+_binary64
24×distribute-lft-neg-in_binary64
22×distribute-rgt-neg-in_binary64 distribute-rgt-in_binary64 associate-+l-_binary64
20×log-pow_binary64 distribute-lft-in_binary64
18×cube-unmult_binary64
12×exp-prod_binary64 +-rgt-identity_binary64 associate-+r-_binary64
10×sub0-neg_binary64 count-2_binary64
mul0-rgt_binary64 mul0-lft_binary64
rem-sqrt-square_binary64 --rgt-identity_binary64 distribute-neg-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-out--_binary64
remove-double-neg_binary64 +-lft-identity_binary64 associate--r-_binary64
1-exp_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-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-1-e_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 mul-1-neg_binary64 /-rgt-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 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-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out_binary64 associate--l-_binary64
Counts
54 → 38
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
091830
1229586
2796536
33128506
44060506
55115506

prune20.0ms (0.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New32638
Fresh000
Picked101
Done000
Total33639
Error
3.4b
Counts
39 → 6
Compiler

Compiled 261 to 115 computations (55.9% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b
(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))
21.7b
(/.f64 (*.f64 x x) (*.f64 y y))

rewrite60.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
16×add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
prod-exp_binary64 cbrt-unprod_binary64
div-exp_binary64 cbrt-undiv_binary64
swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64
add-log-exp_binary64
frac-2neg_binary64 times-frac_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 associate-/r*_binary64 pow2_binary64 pow-prod-down_binary64 pow-prod-up_binary64 pow-plus_binary64 sqr-abs_binary64 pow-sqr_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
2 → 47
Calls

2 calls:

6.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
3.0ms
(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))
Compiler

Compiled 1042 to 169 computations (83.8% saved)

series37.0ms (0.6%)

Error
3.4b
Counts
2 → 12
Calls

2 calls:

21.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
15.0ms
(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))
Compiler

Compiled 403 to 319 computations (20.8% saved)

simplify85.0ms (1.3%)

Algorithm
egg-herbie
Rules
528×times-frac_binary64
488×unswap-sqr_binary64
333×associate-/l*_binary64
284×associate-*l*_binary64
218×associate-*l/_binary64
201×log-prod_binary64
185×distribute-rgt-in_binary64
184×sqr-pow_binary64
178×associate-*r*_binary64
156×associate-/r*_binary64
148×associate-*r/_binary64
120×exp-prod_binary64
105×cube-prod_binary64
103×swap-sqr_binary64
95×associate-/l/_binary64
84×sub-neg_binary64
78×unpow3_binary64
73×associate-/r/_binary64
60×cube-mult_binary64
53×pow-plus_binary64 associate-+l+_binary64
51×pow-sqr_binary64
49×cancel-sign-sub-inv_binary64
47×associate-+r+_binary64
46×log-div_binary64
43×log-pow_binary64
38×*-commutative_binary64
37×cube-div_binary64
36×distribute-neg-in_binary64
29×distribute-rgt-neg-in_binary64
27×distribute-lft-neg-in_binary64
24×cube-unmult_binary64 distribute-lft-in_binary64
21×neg-mul-1_binary64
20×neg-sub0_binary64
19×rem-sqrt-square_binary64
18×distribute-lft-out_binary64
17×*-rgt-identity_binary64 distribute-rgt-out_binary64
15×*-lft-identity_binary64 distribute-lft-out--_binary64 associate-+l-_binary64
14×+-commutative_binary64
13×unsub-neg_binary64 associate--l+_binary64 associate--r+_binary64
10×count-2_binary64
unpow1/2_binary64 associate-+r-_binary64
unpow2_binary64
+-rgt-identity_binary64
unpow1_binary64 sub0-neg_binary64
mul0-rgt_binary64 mul0-lft_binary64 distribute-rgt-out--_binary64
--rgt-identity_binary64 distribute-lft-neg-out_binary64
distribute-rgt-neg-out_binary64
1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 remove-double-neg_binary64 +-lft-identity_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate--r-_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-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-cube-cbrt_binary64 sqr-neg_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 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-neg-out_binary64 associate--l-_binary64
Counts
59 → 48
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
077803
1171619
2564579
32273546
43763507
54803453
64926453

prune26.0ms (0.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New43548
Fresh145
Picked101
Done000
Total45954
Error
0.1b
Counts
54 → 9
Compiler

Compiled 538 to 225 computations (58.2% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b
(pow.f64 (/.f64 x y) 2)
0.3b
(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))

rewrite82.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
16×add-sqr-sqrt_binary64
14×add-cube-cbrt_binary64 *-un-lft-identity_binary64
13×unpow-prod-down_binary64
10×pow1_binary64
times-frac_binary64
add-exp-log_binary64
add-cbrt-cube_binary64
swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64 pow-unpow_binary64
add-log-exp_binary64 pow-exp_binary64
pow2_binary64 pow-prod-down_binary64 pow-prod-up_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 sqr-abs_binary64 pow-sqr_binary64 unswap-sqr_binary64 *-commutative_binary64 div-inv_binary64 pow-pow_binary64 pow-to-exp_binary64 div-exp_binary64 unpow2_binary64 sqr-pow_binary64
Counts
2 → 55
Calls

2 calls:

4.0ms
(pow.f64 (/.f64 x y) 2)
3.0ms
(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))
Compiler

Compiled 1118 to 342 computations (69.4% saved)

series37.0ms (0.5%)

Error
0.1b
Counts
2 → 12
Calls

2 calls:

18.0ms
(pow.f64 (/.f64 x y) 2)
16.0ms
(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))
Compiler

Compiled 377 to 319 computations (15.4% saved)

simplify95.0ms (1.4%)

Algorithm
egg-herbie
Rules
462×log-div_binary64
395×associate-/r*_binary64
391×associate-/l/_binary64
329×log-prod_binary64
294×associate-*l*_binary64
201×associate-*r*_binary64
179×associate-/r/_binary64
157×sqr-pow_binary64
132×associate-*l/_binary64
115×associate-*r/_binary64
114×log-pow_binary64
111×unpow3_binary64
99×unswap-sqr_binary64
96×cube-prod_binary64
87×exp-prod_binary64
85×swap-sqr_binary64
74×associate-/l*_binary64
58×associate-+l+_binary64
54×associate-+r+_binary64
53×pow-plus_binary64
49×rem-sqrt-square_binary64
43×*-commutative_binary64
42×distribute-rgt-in_binary64
38×cube-div_binary64
36×cube-unmult_binary64 times-frac_binary64
35×pow-sqr_binary64
33×distribute-lft-in_binary64
25×unpow2_binary64 unpow1/2_binary64
23×unpow1_binary64 *-rgt-identity_binary64
19×associate-+l-_binary64
17×*-lft-identity_binary64
12×sub-neg_binary64 associate-+r-_binary64
10×distribute-lft-out_binary64
log-rec_binary64 cube-mult_binary64
/-rgt-identity_binary64 count-2_binary64
associate--r+_binary64
distribute-rgt-out_binary64
cancel-sign-sub-inv_binary64
associate--l+_binary64
rem-3cbrt-rft_binary64 rem-square-sqrt_binary64 neg-sub0_binary64 associate--r-_binary64 +-commutative_binary64
rem-3cbrt-lft_binary64 neg-mul-1_binary64 unsub-neg_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-lft-out--_binary64 associate--l-_binary64
1-exp_binary64 exp-1-e_binary64 sqr-abs_binary64 sub0-neg_binary64 +-rgt-identity_binary64 distribute-neg-in_binary64 distribute-rgt-neg-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-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-neg_binary64 div-sub_binary64 mul-1-neg_binary64 remove-double-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 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64
Counts
67 → 48
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0107887
1222699
2529653
31764630
44252623
54904623
65119623

prune46.0ms (0.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New40848
Fresh448
Picked101
Done000
Total451257
Error
0.1b
Counts
57 → 12
Compiler

Compiled 725 to 329 computations (54.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (sqrt.f64 (fabs.f64 (/.f64 z t))) (pow.f64 (fabs.f64 (/.f64 z t)) 3/2))
0.2b
(pow.f64 (fabs.f64 (/.f64 z t)) 3/2)
0.3b
(pow.f64 (/.f64 x y) 2)
8.9b
(sqrt.f64 (fabs.f64 (/.f64 z t)))

rewrite172.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
30×add-sqr-sqrt_binary64
21×unpow-prod-down_binary64
19×add-cube-cbrt_binary64 *-un-lft-identity_binary64
13×add-exp-log_binary64
sqrt-prod_binary64 times-frac_binary64
pow1_binary64
associate-*r*_binary64
add-cbrt-cube_binary64 pow-unpow_binary64 unswap-sqr_binary64 associate-*l*_binary64
sqr-pow_binary64
add-log-exp_binary64 pow-exp_binary64
pow-to-exp_binary64 prod-exp_binary64
pow1/2_binary64 sqrt-pow1_binary64 pow-pow_binary64 pow-prod-up_binary64
rem-sqrt-square_binary64 div-inv_binary64 div-exp_binary64 unpow2_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
4 → 92
Calls

4 calls:

6.0ms
(*.f64 (sqrt.f64 (fabs.f64 (/.f64 z t))) (pow.f64 (fabs.f64 (/.f64 z t)) 3/2))
4.0ms
(pow.f64 (/.f64 x y) 2)
2.0ms
(pow.f64 (fabs.f64 (/.f64 z t)) 3/2)
1.0ms
(sqrt.f64 (fabs.f64 (/.f64 z t)))
Compiler

Compiled 2132 to 834 computations (60.9% saved)

series90.0ms (1.3%)

Error
0.1b
Counts
4 → 24
Calls

4 calls:

36.0ms
(pow.f64 (fabs.f64 (/.f64 z t)) 3/2)
20.0ms
(pow.f64 (/.f64 x y) 2)
15.0ms
(sqrt.f64 (fabs.f64 (/.f64 z t)))
15.0ms
(*.f64 (sqrt.f64 (fabs.f64 (/.f64 z t))) (pow.f64 (fabs.f64 (/.f64 z t)) 3/2))
Compiler

Compiled 897 to 719 computations (19.8% saved)

simplify117.0ms (1.7%)

Algorithm
egg-herbie
Rules
457×associate-*l*_binary64
398×associate-/l/_binary64
397×associate-/r*_binary64
333×associate-*r*_binary64
258×log-div_binary64
193×sqr-pow_binary64
178×associate-/r/_binary64
167×log-prod_binary64
135×cube-prod_binary64
126×exp-prod_binary64
113×unswap-sqr_binary64
110×associate-*l/_binary64
108×swap-sqr_binary64
95×associate-*r/_binary64
79×log-pow_binary64
78×*-commutative_binary64
72×associate-/l*_binary64
61×distribute-rgt-in_binary64
59×rem-sqrt-square_binary64
52×pow-plus_binary64 distribute-lft-in_binary64
45×cube-unmult_binary64 pow-sqr_binary64
36×times-frac_binary64
32×cube-div_binary64
28×*-rgt-identity_binary64
25×*-lft-identity_binary64
24×unpow1/2_binary64
23×unpow2_binary64 unpow1_binary64
11×unpow3_binary64
10×sub-neg_binary64 count-2_binary64
cube-mult_binary64
/-rgt-identity_binary64 distribute-rgt-out_binary64 distribute-lft-out_binary64
associate-+l+_binary64 associate-+r+_binary64
cancel-sign-sub-inv_binary64
pow-base-1_binary64
log-rec_binary64 rem-square-sqrt_binary64 neg-sub0_binary64 +-commutative_binary64
rem-3cbrt-rft_binary64 neg-mul-1_binary64 unsub-neg_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-lft-out--_binary64 associate-+l-_binary64 associate-+r-_binary64
1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 sub0-neg_binary64 +-rgt-identity_binary64 distribute-neg-in_binary64 distribute-rgt-neg-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 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-cube-cbrt_binary64 sqr-neg_binary64 div-sub_binary64 mul-1-neg_binary64 remove-double-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 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64
Counts
116 → 64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01501747
12981600
27211473
322401462
447771462
551271462

prune57.0ms (0.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New62264
Fresh01111
Picked011
Done000
Total621476
Error
0.0b
Counts
76 → 14
Compiler

Compiled 832 to 315 computations (62.1% saved)

regimes3.2s (47.5%)

Accuracy

Total 0.4b remaining (86.2%)

Threshold costs 0.4b (86.2%)

Compiler

Compiled 49571 to 34558 computations (30.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
1-exp_binary64 sqr-abs_binary64 *-lft-identity_binary64 *-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 exp-1-e_binary64 exp-0_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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01419
11919
21819

end1.0ms (0%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample1.4s (21.2%)

Algorithm
intervals
Results
350.0ms8000×body128valid
256.0ms6008×body128invalid
Compiler

Compiled 334 to 249 computations (25.4% saved)

Profiling

Loading profile data...