Details

Time bar (total: 3.1s)

analyze620.0ms (19.8%)

Algorithm
search
egg-herbie
Rules
2149×associate-/l/_binary64
423×*-commutative_binary64
368×distribute-rgt-out_binary64
312×swap-sqr_binary64
186×times-frac_binary64
174×cube-div_binary64
171×distribute-rgt-in_binary64
133×distribute-lft-in_binary64
128×associate-/l*_binary64
125×unpow3_binary64
104×associate-*l/_binary64
100×associate-*l*_binary64
92×distribute-rgt1-in_binary64
90×remove-double-div_binary64
75×*-lft-identity_binary64
72×associate-/r*_binary64
69×*-rgt-identity_binary64
66×+-commutative_binary64
62×associate-/r/_binary64
59×associate-*r/_binary64
58×associate-*r*_binary64
38×cube-prod_binary64
31×distribute-lft1-in_binary64
27×distribute-lft-out_binary64
16×lft-mult-inverse_binary64
14×/-rgt-identity_binary64
*-inverses_binary64
cube-unmult_binary64 sqr-pow_binary64
rgt-mult-inverse_binary64 unswap-sqr_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-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_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 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-mult_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 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 pow-sqr_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
14240
25440
39840
410140
511840
612340
715240
8110040
9135640
10185140
11185240
12185440
13185440
14185440
15196740
16205140
17200640
18205040
19205540
20205540
21489940
22456840
23499740
24517740
033
133
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
14%85.8%0.1%7
22.6%77.2%0.1%8
23.8%74.5%1.7%9
40%56%4%10
47.3%48.7%4%11
48.4%45.8%5.8%12
58.6%32.4%9%13
63.4%27.5%9%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample18.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms31×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify158.0ms (5.1%)

Algorithm
egg-herbie
Rules
907×associate-/l*_binary64
740×associate-/l/_binary64
607×associate-/r/_binary64
565×sqr-pow_binary64
557×associate-*l/_binary64
509×*-commutative_binary64
475×pow-sqr_binary64
465×cube-prod_binary64
415×associate-*l*_binary64
343×associate-/r*_binary64
324×associate-*r/_binary64
289×unpow3_binary64
284×cube-mult_binary64
115×swap-sqr_binary64
92×distribute-rgt-in_binary64
88×distribute-lft-out_binary64
80×distribute-lft-in_binary64
79×distribute-rgt-out_binary64
72×times-frac_binary64
59×associate-*r*_binary64
49×unswap-sqr_binary64
45×pow-plus_binary64
41×cube-div_binary64
31×+-commutative_binary64
30×*-lft-identity_binary64
29×*-rgt-identity_binary64
26×unpow2_binary64
20×unpow1_binary64
18×remove-double-div_binary64
17×rem-sqrt-square_binary64 /-rgt-identity_binary64
15×unpow1/2_binary64
11×cube-unmult_binary64
*-inverses_binary64
lft-mult-inverse_binary64 distribute-rgt1-in_binary64
1-exp_binary64 rgt-mult-inverse_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11710
22110
33210
43310
53910
64310
75110
821610
973310
1075710
1176810
1277310
1377810
1478310
15190810
16202510
17208310
18223810
19237310
20256310
21290210
22322310
23383410
24479910
25490710

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
13.0b
Counts
1 → 1
Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (+.f64 y z))
12.4b
(/.f64 (*.f64 x (+.f64 y z)) z)

rewrite52.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-exp-log_binary64 add-cbrt-cube_binary64
add-sqr-sqrt_binary64 *-un-lft-identity_binary64
add-cube-cbrt_binary64
pow1_binary64 associate-*r/_binary64 associate-*r*_binary64
times-frac_binary64 associate-/r*_binary64 associate-*l*_binary64
prod-exp_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 cbrt-unprod_binary64 flip3-+_binary64 associate-/l/_binary64 flip-+_binary64
frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 pow-prod-down_binary64 unswap-sqr_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 distribute-lft-out_binary64 *-commutative_binary64
Counts
2 → 46
Calls

2 calls:

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

Compiled 580 to 161 computations (72.2% saved)

series63.0ms (2%)

Error
3.5b
Counts
2 → 30
Calls

2 calls:

34.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
24.0ms
(*.f64 x (+.f64 y z))
Compiler

Compiled 358 to 295 computations (17.6% saved)

simplify104.0ms (3.3%)

Algorithm
egg-herbie
Rules
647×times-frac_binary64
560×associate-/l*_binary64
374×associate-*l*_binary64
284×associate-*r*_binary64
282×distribute-rgt-in_binary64
268×distribute-lft-in_binary64
252×associate-*l/_binary64
201×associate-/l/_binary64
199×associate-*r/_binary64
147×associate-/r*_binary64
133×associate-+l+_binary64
130×sub-neg_binary64
125×associate-+r+_binary64
111×associate-/r/_binary64
91×sqr-pow_binary64
79×unsub-neg_binary64
70×unswap-sqr_binary64
69×+-commutative_binary64
64×div-sub_binary64
56×distribute-rgt-out_binary64
54×*-rgt-identity_binary64
49×rem-sqrt-square_binary64 *-lft-identity_binary64
46×log-div_binary64
45×associate-+l-_binary64 *-commutative_binary64
44×exp-prod_binary64
38×cube-div_binary64 neg-sub0_binary64 distribute-lft-out_binary64
37×log-prod_binary64
35×neg-mul-1_binary64
33×associate--l-_binary64
31×cube-prod_binary64 /-rgt-identity_binary64
26×associate--l+_binary64 associate-+r-_binary64
23×swap-sqr_binary64
21×cancel-sign-sub-inv_binary64
19×distribute-rgt-neg-in_binary64
17×pow-sqr_binary64 distribute-neg-frac_binary64
16×unpow3_binary64
14×exp-sum_binary64
12×remove-double-div_binary64
11×log-rec_binary64 distribute-lft-neg-out_binary64 distribute-lft-neg-in_binary64
10×cube-unmult_binary64 sub0-neg_binary64 +-rgt-identity_binary64 distribute-rgt-neg-out_binary64
cube-mult_binary64
unpow1/2_binary64
distribute-neg-in_binary64
associate--r+_binary64
distribute-neg-out_binary64
remove-double-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-rgt-out--_binary64
pow-plus_binary64 div0_binary64 difference-of-squares_binary64 distribute-rgt1-in_binary64
1-exp_binary64 exp-1-e_binary64 +-lft-identity_binary64 +-inverses_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 pow-base-0_binary64 unpow1/3_binary64 unpow2_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 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_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 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 --rgt-identity_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 associate--r-_binary64
Counts
76 → 43
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089796
1234703
2876703
33707703
44480703
54933703
64981703

prune26.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New38543
Fresh000
Picked011
Done000
Total38644
Error
0.0b
Counts
44 → 6
Compiler

Compiled 433 to 164 computations (62.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 z (+.f64 z y))
1.4b
(/.f64 x (/.f64 z (+.f64 z y)))

rewrite96.0ms (3.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
114×times-frac_binary64
94×*-un-lft-identity_binary64
62×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
22×associate-/r*_binary64
16×distribute-lft-out_binary64
11×associate-/r/_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
div-inv_binary64 associate-/l*_binary64
flip3-+_binary64 flip-+_binary64
div-exp_binary64 cbrt-undiv_binary64
pow1_binary64 add-log-exp_binary64 frac-2neg_binary64 clear-num_binary64
Counts
2 → 123
Calls

2 calls:

8.0ms
(/.f64 x (/.f64 z (+.f64 z y)))
5.0ms
(/.f64 z (+.f64 z y))
Compiler

Compiled 1846 to 427 computations (76.9% saved)

series73.0ms (2.3%)

Error
0.0b
Counts
2 → 36
Calls

2 calls:

35.0ms
(/.f64 x (/.f64 z (+.f64 z y)))
29.0ms
(/.f64 z (+.f64 z y))
Compiler

Compiled 599 to 493 computations (17.7% saved)

simplify160.0ms (5.1%)

Algorithm
egg-herbie
Rules
433×associate-*l/_binary64
430×associate-/r/_binary64
410×times-frac_binary64
402×associate-/l*_binary64
398×associate-/l/_binary64
342×associate-/r*_binary64
291×associate-*r/_binary64
198×distribute-rgt-in_binary64
186×distribute-lft-in_binary64
155×cancel-sign-sub-inv_binary64
146×unswap-sqr_binary64
116×div-sub_binary64
102×distribute-neg-frac_binary64
87×*-commutative_binary64
64×*-rgt-identity_binary64
56×sub-neg_binary64
52×cube-prod_binary64
50×cube-div_binary64
46×neg-mul-1_binary64
45×log-div_binary64 neg-sub0_binary64
41×exp-prod_binary64 *-lft-identity_binary64
39×log-prod_binary64
37×sqr-pow_binary64
30×associate-*r*_binary64
24×distribute-rgt-neg-out_binary64
23×unpow3_binary64 swap-sqr_binary64
22×unsub-neg_binary64 +-commutative_binary64
18×/-rgt-identity_binary64
17×distribute-rgt-neg-in_binary64 associate-*l*_binary64
16×cube-mult_binary64 distribute-lft-neg-in_binary64
14×difference-of-squares_binary64
13×exp-sum_binary64
12×cube-unmult_binary64
11×distribute-neg-in_binary64
associate--l+_binary64
distribute-lft-neg-out_binary64
associate--r+_binary64
log-rec_binary64 unpow1/2_binary64 remove-double-div_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64
log-pow_binary64 pow-sqr_binary64 associate-+l+_binary64
unpow2_binary64 pow-plus_binary64 unpow1_binary64 exp-diff_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 remove-double-neg_binary64 div0_binary64 difference-of-sqr--1_binary64 distribute-rgt1-in_binary64 associate-+l-_binary64
1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 sub0-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 distribute-frac-neg_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 associate--r-_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 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 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 *-inverses_binary64 +-inverses_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--l-_binary64 associate-+r+_binary64
Counts
159 → 92
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02022909
14482801
214892750
341242750
448332750
551312750

prune34.0ms (1.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New90292
Fresh224
Picked011
Done011
Total92698
Error
0b
Counts
98 → 6
Compiler

Compiled 906 to 250 computations (72.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (+.f64 z y) z)
2.0b
(*.f64 x (/.f64 (+.f64 z y) z))

rewrite57.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
34×*-un-lft-identity_binary64
25×add-sqr-sqrt_binary64 times-frac_binary64
20×add-cube-cbrt_binary64
16×associate-*r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
distribute-lft-out_binary64
pow1_binary64 associate-/l*_binary64
associate-*l*_binary64 associate-/r*_binary64
div-exp_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-inv_binary64 associate-/l/_binary64
pow-prod-down_binary64 associate-*r/_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64 flip3-+_binary64 flip-+_binary64
Counts
2 → 68
Calls

2 calls:

12.0ms
(*.f64 x (/.f64 (+.f64 z y) z))
5.0ms
(/.f64 (+.f64 z y) z)
Compiler

Compiled 877 to 211 computations (75.9% saved)

series61.0ms (1.9%)

Error
0b
Counts
2 → 27
Calls

2 calls:

35.0ms
(*.f64 x (/.f64 (+.f64 z y) z))
19.0ms
(/.f64 (+.f64 z y) z)
Compiler

Compiled 287 to 262 computations (8.7% saved)

simplify129.0ms (4.1%)

Algorithm
egg-herbie
Rules
630×associate-/r/_binary64
359×div-sub_binary64
342×*-commutative_binary64
290×unsub-neg_binary64
265×associate-*l*_binary64
228×associate--l-_binary64
217×associate-*r/_binary64
213×associate-*l/_binary64
204×associate-/l*_binary64 associate-*r*_binary64
177×sub-neg_binary64
148×neg-mul-1_binary64
145×neg-sub0_binary64
122×times-frac_binary64
118×distribute-rgt-in_binary64
113×associate-+l+_binary64
111×distribute-lft-in_binary64
97×associate-+r+_binary64
89×distribute-rgt-out_binary64
88×associate-/l/_binary64
64×associate-/r*_binary64
62×exp-prod_binary64 associate--r-_binary64
58×sqr-pow_binary64
55×cancel-sign-sub-inv_binary64
54×distribute-neg-in_binary64
52×cube-prod_binary64
47×log-div_binary64 log-prod_binary64
43×*-lft-identity_binary64
41×associate-+l-_binary64
39×+-commutative_binary64
37×cube-div_binary64
35×distribute-lft-neg-out_binary64
34×*-rgt-identity_binary64 distribute-rgt-neg-out_binary64
31×distribute-frac-neg_binary64
29×/-rgt-identity_binary64
28×exp-diff_binary64
26×swap-sqr_binary64
24×associate--r+_binary64
22×exp-sum_binary64 unswap-sqr_binary64 associate--l+_binary64
21×associate-+r-_binary64
14×distribute-rgt-neg-in_binary64
12×rem-sqrt-square_binary64 distribute-lft-neg-in_binary64
11×unpow3_binary64 pow-sqr_binary64
cube-mult_binary64 +-rgt-identity_binary64
log-rec_binary64 sub0-neg_binary64 distribute-rgt-out--_binary64
exp-neg_binary64 cube-unmult_binary64
remove-double-neg_binary64
distribute-neg-out_binary64
cube-neg_binary64 --rgt-identity_binary64 remove-double-div_binary64 distribute-rgt1-in_binary64
unpow1/2_binary64 distribute-lft1-in_binary64 count-2_binary64
sqr-neg_binary64 distribute-neg-frac_binary64 distribute-lft-out_binary64
1-exp_binary64 exp-1-e_binary64 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 +-inverses_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 pow-base-0_binary64 unpow1/3_binary64 unpow2_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 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 +-lft-identity_binary64 div0_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_binary64 distribute-lft-out--_binary64
Counts
95 → 44
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0981145
12331052
27251052
320411052
429181052
543661052
649951052
749571052

prune20.0ms (0.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New44044
Fresh033
Picked011
Done022
Total44650
Error
0b
Counts
50 → 6
Compiler

Compiled 397 to 161 computations (59.4% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (+.f64 z y))
12.5b
(*.f64 (/.f64 1 z) (*.f64 x (+.f64 z y)))

rewrite64.0ms (2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
26×add-exp-log_binary64
16×add-cbrt-cube_binary64 associate-*l*_binary64
13×prod-exp_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
11×add-cube-cbrt_binary64
pow1_binary64 times-frac_binary64
associate-*r/_binary64
cbrt-unprod_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-*r*_binary64
pow-prod-down_binary64 div-exp_binary64
flip3-+_binary64 flip-+_binary64
1-exp_binary64 rec-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 frac-times_binary64 *-commutative_binary64
associate-*l/_binary64 div-inv_binary64 unswap-sqr_binary64 distribute-lft-out_binary64
Counts
2 → 68
Calls

2 calls:

10.0ms
(*.f64 (/.f64 1 z) (*.f64 x (+.f64 z y)))
6.0ms
(*.f64 x (+.f64 z y))
Compiler

Compiled 1020 to 426 computations (58.2% saved)

series66.0ms (2.1%)

Error
0b
Counts
2 → 30
Calls

2 calls:

33.0ms
(*.f64 (/.f64 1 z) (*.f64 x (+.f64 z y)))
27.0ms
(*.f64 x (+.f64 z y))
Compiler

Compiled 426 to 353 computations (17.1% saved)

simplify113.0ms (3.6%)

Algorithm
egg-herbie
Rules
595×distribute-rgt-in_binary64
583×distribute-lft-in_binary64
342×associate-*l/_binary64
270×associate-/l*_binary64
237×times-frac_binary64
226×associate-*r/_binary64
185×associate-*r*_binary64
157×*-lft-identity_binary64
155×associate-*l*_binary64
154×*-rgt-identity_binary64
97×*-commutative_binary64
88×associate-/r*_binary64
70×sqr-pow_binary64
68×exp-prod_binary64 sub-neg_binary64
64×log-div_binary64
60×cube-div_binary64
59×unsub-neg_binary64
56×div-sub_binary64 neg-mul-1_binary64
54×log-prod_binary64 neg-sub0_binary64
49×cube-prod_binary64
38×pow-sqr_binary64
34×rem-sqrt-square_binary64 associate-/l/_binary64
30×unswap-sqr_binary64
28×swap-sqr_binary64
26×associate-/r/_binary64
25×distribute-neg-in_binary64
23×unpow3_binary64
22×cube-mult_binary64 distribute-lft-neg-out_binary64
19×distribute-rgt-neg-out_binary64
17×+-commutative_binary64
11×cancel-sign-sub-inv_binary64
10×/-rgt-identity_binary64
associate-+r+_binary64
log-rec_binary64 exp-sum_binary64
unpow1/2_binary64 distribute-neg-frac_binary64 associate-+l-_binary64 associate-+l+_binary64
cube-unmult_binary64 remove-double-neg_binary64 associate-+r-_binary64
distribute-rgt-out_binary64
distribute-rgt-neg-in_binary64
sub0-neg_binary64 +-rgt-identity_binary64 distribute-frac-neg_binary64 distribute-rgt-out--_binary64 associate--r+_binary64
1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 sqr-neg_binary64 +-lft-identity_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-squares_binary64 distribute-neg-out_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft-out_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 pow-base-0_binary64 unpow1/3_binary64 unpow2_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 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 --rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64
Counts
98 → 71
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01211112
1321977
21165977
34496977
44669977
54951977
65073977

prune28.0ms (0.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New71071
Fresh022
Picked011
Done033
Total71677
Error
0b
Counts
77 → 6
Compiler

Compiled 572 to 224 computations (60.8% saved)

regimes273.0ms (8.7%)

Accuracy

Total 2.8b remaining (99.4%)

Threshold costs 0b (0%)

Compiler

Compiled 2524 to 1786 computations (29.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 *-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
1810
2810

end1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample881.0ms (28.2%)

Algorithm
intervals
Results
226.0ms8000×body128valid
20.0ms783×body128invalid
Compiler

Compiled 77 to 76 computations (1.3% saved)

Profiling

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