Details

Time bar (total: 1.4s)

analyze493.0ms (35.3%)

Algorithm
search
egg-herbie
Rules
498×div-sub_binary64
463×times-frac_binary64
446×associate-/l*_binary64
352×cancel-sign-sub-inv_binary64
322×sub-neg_binary64
309×associate-/l/_binary64
236×distribute-rgt-in_binary64
194×unsub-neg_binary64
148×associate-/r*_binary64
130×distribute-rgt-neg-in_binary64
124×distribute-lft-in_binary64
118×associate-/r/_binary64
115×associate--r+_binary64
108×distribute-lft-neg-in_binary64
98×*-commutative_binary64
95×distribute-neg-frac_binary64
86×associate-*r*_binary64
76×remove-double-div_binary64
70×+-commutative_binary64
66×neg-sub0_binary64 associate-*l*_binary64
65×associate-*l/_binary64
61×neg-mul-1_binary64
54×associate--l-_binary64
53×associate-+l-_binary64
50×distribute-rgt-out--_binary64
48×associate--l+_binary64
46×cancel-sign-sub_binary64
40×div0_binary64 associate-+l+_binary64
39×distribute-rgt-neg-out_binary64
38×associate-+r+_binary64
36×mul0-rgt_binary64
35×sub0-neg_binary64 distribute-frac-neg_binary64
34×distribute-lft-neg-out_binary64
33×mul0-lft_binary64 distribute-neg-in_binary64
28×*-lft-identity_binary64
27×/-rgt-identity_binary64 *-rgt-identity_binary64
26×associate-+r-_binary64
23×associate--r-_binary64
18×distribute-neg-out_binary64 distribute-rgt-out_binary64
16×mul-1-neg_binary64
14×distribute-lft-out--_binary64
13×+-rgt-identity_binary64
12×associate-*r/_binary64
10×remove-double-neg_binary64
+-lft-identity_binary64
distribute-rgt1-in_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 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 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 --rgt-identity_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_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 distribute-lft1-in_binary64 distribute-lft-out_binary64 count-2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
13740
27340
313640
425940
543340
6102340
7138340
8148940
9147440
10148440
11146840
12147440
13151040
14172640
15221640
16192440
17181840
18183040
19183040
20183640
21183640
22183640
23169140
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
31.2%68.6%0.1%7
40.6%59.3%0.1%8
43.7%56.2%0.1%9
56.6%43.3%0.1%10
61%37.3%1.7%11
62.1%34.8%3.1%12
68.6%25.6%5.8%13
70.6%22.1%7.4%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample18.0ms (1.3%)

Algorithm
intervals
Results
6.0ms256×body128valid
1.0ms32×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify27.0ms (1.9%)

Algorithm
egg-herbie
Rules
112×cancel-sign-sub-inv_binary64
77×distribute-rgt-in_binary64
57×unsub-neg_binary64
53×sub-neg_binary64
36×distribute-lft-in_binary64
35×distribute-rgt-neg-in_binary64 associate--r+_binary64
30×div-sub_binary64
29×distribute-lft-neg-in_binary64
24×distribute-neg-in_binary64
22×neg-mul-1_binary64 distribute-lft-neg-out_binary64
20×associate-*l*_binary64
19×associate-*r*_binary64 +-commutative_binary64
18×associate--l+_binary64 *-commutative_binary64
17×associate-/l*_binary64
16×distribute-rgt-neg-out_binary64 associate-/r/_binary64 associate-+l-_binary64
15×neg-sub0_binary64
13×associate-/r*_binary64 associate--l-_binary64
12×associate--r-_binary64
11×distribute-neg-frac_binary64 distribute-rgt-out--_binary64
10×mul0-rgt_binary64 mul0-lft_binary64 distribute-rgt-out_binary64
sub0-neg_binary64 associate-+l+_binary64
associate-/l/_binary64 associate-+r-_binary64
associate-+r+_binary64
remove-double-neg_binary64
*-rgt-identity_binary64 *-lft-identity_binary64 +-rgt-identity_binary64 distribute-rgt1-in_binary64
distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft-out--_binary64
/-rgt-identity_binary64 div0_binary64
1-exp_binary64 --rgt-identity_binary64 +-lft-identity_binary64 distribute-lft-out_binary64 associate-*l/_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-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 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 mul-1-neg_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_binary64 distribute-lft1-in_binary64 count-2_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11310
22410
34110
47610
512510
625910
732910
838710
938110
1042310
1140210
1235710

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (-.f64 y x) z)

rewrite31.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
19×add-sqr-sqrt_binary64 *-un-lft-identity_binary64
15×times-frac_binary64
11×add-cube-cbrt_binary64
associate-/l*_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-/r*_binary64
associate-/l/_binary64
pow1_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 div-inv_binary64 flip3--_binary64 flip--_binary64
Counts
1 → 38
Calls

1 calls:

6.0ms
(/.f64 (-.f64 y x) z)
Compiler

Compiled 494 to 155 computations (68.6% saved)

series34.0ms (2.4%)

Error
0.0b
Counts
1 → 15
Calls

1 calls:

30.0ms
(/.f64 (-.f64 y x) z)
Compiler

Compiled 227 to 179 computations (21.1% saved)

simplify113.0ms (8.1%)

Algorithm
egg-herbie
Rules
678×unsub-neg_binary64
507×times-frac_binary64
375×associate-/l*_binary64
315×distribute-rgt-in_binary64
309×sub-neg_binary64 distribute-lft-in_binary64
304×associate-*l*_binary64
278×neg-sub0_binary64
247×associate-*r*_binary64
230×associate-*l/_binary64
216×cancel-sign-sub-inv_binary64
186×div-sub_binary64
184×sqr-pow_binary64
180×neg-mul-1_binary64
163×associate-/l/_binary64
162×associate-/r*_binary64
140×associate-*r/_binary64
132×+-lft-identity_binary64
113×cube-prod_binary64
97×distribute-rgt-neg-out_binary64
95×cube-div_binary64
86×distribute-lft-neg-out_binary64
84×exp-prod_binary64
75×associate-/r/_binary64
73×exp-sum_binary64
71×cancel-sign-sub_binary64
65×log-div_binary64
63×distribute-frac-neg_binary64
61×log-prod_binary64
56×*-commutative_binary64
46×remove-double-neg_binary64
38×exp-diff_binary64
35×pow-sqr_binary64
33×swap-sqr_binary64
30×associate-+l+_binary64
29×*-lft-identity_binary64 associate-+r+_binary64 +-commutative_binary64
26×unpow3_binary64
25×*-rgt-identity_binary64
22×mul-1-neg_binary64 /-rgt-identity_binary64
21×associate-+l-_binary64
20×cube-mult_binary64 mul0-rgt_binary64 mul0-lft_binary64
18×cube-neg_binary64 distribute-neg-frac_binary64
16×div0_binary64
15×associate-+r-_binary64
13×sub0-neg_binary64 +-rgt-identity_binary64
11×unswap-sqr_binary64
10×log-rec_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 associate--l-_binary64
cube-unmult_binary64 associate--r-_binary64
sqr-neg_binary64 distribute-neg-in_binary64
distribute-rgt-out_binary64 associate--r+_binary64
--rgt-identity_binary64 associate--l+_binary64
unpow1/2_binary64 remove-double-div_binary64
unpow-1_binary64 1-exp_binary64 exp-1-e_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 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-sqrt-square_binary64 rem-square-sqrt_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 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64
Counts
53 → 22
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079652
1176620
2379620
3875620
43468620
54324620
64663620
75044620

prune7.0ms (0.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New22022
Fresh000
Picked011
Done000
Total22123
Error
0.0b
Counts
23 → 1
Compiler

Compiled 131 to 56 computations (57.3% saved)

regimes56.0ms (4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 200 to 206 computations (-3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21510
31710
41810
51810

end1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample609.0ms (43.6%)

Algorithm
intervals
Results
213.0ms8000×body128valid
32.0ms1319×body128invalid
Compiler

Compiled 25 to 34 computations (-36% saved)

Profiling

Loading profile data...