Details

Time bar (total: 1.2min)

analyze16.8s (22.9%)

Algorithm
search
egg-herbie
Rules
977×times-frac_binary64
173×sub-neg_binary64
165×div-sub_binary64
152×sqr-pow_binary64
138×*-commutative_binary64
118×associate-*l*_binary64
115×associate-/l*_binary64
101×neg-mul-1_binary64 neg-sub0_binary64
99×associate-/r/_binary64
98×associate-*r*_binary64
81×+-commutative_binary64
62×unswap-sqr_binary64
51×unpow2_binary64 unpow1_binary64
50×unpow1/2_binary64
49×associate-*l/_binary64
48×swap-sqr_binary64
44×associate-/l/_binary64
40×distribute-neg-frac_binary64
38×associate-*r/_binary64
19×distribute-rgt-in_binary64 distribute-lft-in_binary64
16×difference-of-squares_binary64
11×unsub-neg_binary64 associate--l-_binary64 associate--l+_binary64 associate-+l-_binary64 associate-+l+_binary64
10×associate-/r*_binary64
cancel-sign-sub-inv_binary64
distribute-rgt-neg-in_binary64 distribute-lft-neg-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 pow-plus_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-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 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 difference-of-sqr--1_binary64 difference-of-sqr-1_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-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate--r-_binary64 associate--r+_binary64 associate-+r-_binary64 associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03253003
18483003
224793003
350053003
055
155
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
2.3%97.4%0.2%9
3.5%96.2%0.2%10
5.3%94.5%0.2%11
6.1%93.6%0.2%12
9.2%90.6%0.2%13
13.8%85.9%0.2%14
Compiler

Compiled 170 to 127 computations (25.3% saved)

sample1.3s (1.8%)

Algorithm
intervals
Results
466.0ms50×body4096valid
299.0ms63×body1024valid
269.0ms47×body2048valid
149.0msbody8192exit
52.0ms74×body128valid
44.0ms14×body512valid
13.0msbody256valid
Compiler

Compiled 339 to 258 computations (23.9% saved)

simplify34.0ms (0%)

Algorithm
egg-herbie
Rules
761×associate-/r/_binary64
637×times-frac_binary64
295×associate-/l/_binary64
243×div-sub_binary64
174×distribute-rgt-in_binary64
168×distribute-lft-in_binary64
116×associate-*r*_binary64
112×associate-*l*_binary64
91×associate-/r*_binary64
86×distribute-rgt-neg-in_binary64
85×distribute-lft-neg-in_binary64
81×associate-/l*_binary64
59×swap-sqr_binary64 cancel-sign-sub-inv_binary64
58×unswap-sqr_binary64
50×sub-neg_binary64
44×associate-*l/_binary64 *-commutative_binary64
39×distribute-neg-frac_binary64
36×associate-*r/_binary64
32×sqr-pow_binary64
29×neg-sub0_binary64
27×neg-mul-1_binary64
18×distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64
15×distribute-rgt-out--_binary64
13×unsub-neg_binary64
11×distribute-rgt-out_binary64
10×+-commutative_binary64
unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 unpow1_binary64 cube-unmult_binary64 rem-sqrt-square_binary64
associate-+l-_binary64
distribute-neg-in_binary64 associate-+r-_binary64
sub0-neg_binary64 +-rgt-identity_binary64 difference-of-squares_binary64 associate-+l+_binary64 associate-+r+_binary64
distribute-lft-out_binary64 associate--l-_binary64 associate--l+_binary64
1-exp_binary64 sqr-neg_binary64 *-lft-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 cancel-sign-sub_binary64 distribute-neg-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 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_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-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 rem-square-sqrt_binary64 mul-1-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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 count-2_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046273
1115273
2310273
31373273
45229273

prune13.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
53.5b
Counts
2 → 1
Compiler

Compiled 338 to 245 computations (27.5% saved)

localize254.0ms (0.3%)

Local error

Found 4 expressions with local error:

27.5b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite232.0ms (0.3%)

Algorithm
rewrite-expression-head
Error
53.0b
Rules
pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
Counts
4 → 28
Calls

4 calls:

4.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 4928 to 3522 computations (28.5% saved)

series250.0ms (0.3%)

Error
51.7b
Counts
4 → 17
Calls

4 calls:

44.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
39.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
34.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
33.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 7286 to 5354 computations (26.5% saved)

simplify126.0ms (0.2%)

Algorithm
egg-herbie
Rules
857×distribute-rgt-neg-in_binary64
799×distribute-lft-neg-in_binary64
459×neg-mul-1_binary64
443×neg-sub0_binary64
430×cancel-sign-sub-inv_binary64
381×sub-neg_binary64
287×*-commutative_binary64
282×unsub-neg_binary64
274×unswap-sqr_binary64
233×distribute-rgt-in_binary64
142×distribute-lft-in_binary64
139×associate-*l*_binary64
138×associate-*r*_binary64
116×distribute-rgt-neg-out_binary64
102×sqr-pow_binary64
100×distribute-neg-in_binary64
67×mul0-rgt_binary64 mul0-lft_binary64
52×associate-+l-_binary64
47×associate--r+_binary64 +-commutative_binary64
39×sub0-neg_binary64
33×distribute-lft-neg-out_binary64
28×remove-double-neg_binary64
27×--rgt-identity_binary64
23×cube-prod_binary64 cancel-sign-sub_binary64
20×unpow3_binary64 pow-sqr_binary64
18×associate-+l+_binary64
15×+-rgt-identity_binary64 associate--l+_binary64
14×sqr-neg_binary64 div-sub_binary64
13×cube-unmult_binary64
12×distribute-rgt-out--_binary64 associate--r-_binary64 associate-+r-_binary64
10×cube-mult_binary64 distribute-rgt-out_binary64
unpow2_binary64 pow-plus_binary64 unpow1_binary64
sin-neg_binary64
distribute-lft-out--_binary64 associate-+r+_binary64
cube-neg_binary64 distribute-frac-neg_binary64
unpow1/2_binary64 distribute-lft-out_binary64
*-rgt-identity_binary64 swap-sqr_binary64
associate-/l*_binary64
1-exp_binary64 +-lft-identity_binary64 associate-/r/_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 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-div_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 times-frac_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-lft-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 distribute-neg-frac_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r*_binary64 associate-*r/_binary64 associate--l-_binary64
Counts
45 → 21
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033728
178644
2190644
3687644
41253644
52151644
63348644
74365644
84732644
94790644

prune156.0ms (0.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New17421
Fresh000
Picked101
Done000
Total18422
Error
53.0b
Counts
22 → 4
Compiler

Compiled 4417 to 3186 computations (27.9% saved)

localize91.0ms (0.1%)

Local error

Found 4 expressions with local error:

27.5b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite315.0ms (0.4%)

Algorithm
rewrite-expression-head
Error
53.0b
Rules
pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
Counts
4 → 28
Calls

4 calls:

2.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 5012 to 3606 computations (28.1% saved)

series248.0ms (0.3%)

Error
52.4b
Counts
4 → 18
Calls

4 calls:

43.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
40.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
35.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
34.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 7804 to 5769 computations (26.1% saved)

simplify125.0ms (0.2%)

Algorithm
egg-herbie
Rules
857×distribute-rgt-neg-in_binary64
799×distribute-lft-neg-in_binary64
459×neg-mul-1_binary64
443×neg-sub0_binary64
430×cancel-sign-sub-inv_binary64
381×sub-neg_binary64
287×*-commutative_binary64
282×unsub-neg_binary64
274×unswap-sqr_binary64
233×distribute-rgt-in_binary64
142×distribute-lft-in_binary64
139×associate-*l*_binary64
138×associate-*r*_binary64
116×distribute-rgt-neg-out_binary64
102×sqr-pow_binary64
100×distribute-neg-in_binary64
67×mul0-rgt_binary64 mul0-lft_binary64
52×associate-+l-_binary64
47×associate--r+_binary64 +-commutative_binary64
39×sub0-neg_binary64
33×distribute-lft-neg-out_binary64
28×remove-double-neg_binary64
27×--rgt-identity_binary64
23×cube-prod_binary64 cancel-sign-sub_binary64
20×unpow3_binary64 pow-sqr_binary64
18×associate-+l+_binary64
15×+-rgt-identity_binary64 associate--l+_binary64
14×sqr-neg_binary64 div-sub_binary64
13×cube-unmult_binary64
12×distribute-rgt-out--_binary64 associate--r-_binary64 associate-+r-_binary64
10×cube-mult_binary64 distribute-rgt-out_binary64
unpow2_binary64 pow-plus_binary64 unpow1_binary64
sin-neg_binary64
distribute-lft-out--_binary64 associate-+r+_binary64
cube-neg_binary64 distribute-frac-neg_binary64
unpow1/2_binary64 distribute-lft-out_binary64
*-rgt-identity_binary64 swap-sqr_binary64
associate-/l*_binary64
1-exp_binary64 +-lft-identity_binary64 associate-/r/_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 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-div_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 times-frac_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-lft-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 distribute-neg-frac_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r*_binary64 associate-*r/_binary64 associate--l-_binary64
Counts
46 → 22
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033768
178684
2190684
3687684
41253684
52151684
63348684
74365684
84732684
94790684

prune248.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New22022
Fresh033
Picked011
Done000
Total22426
Error
53.0b
Counts
26 → 4
Compiler

Compiled 4499 to 3257 computations (27.6% saved)

localize88.0ms (0.1%)

Local error

Found 4 expressions with local error:

27.5b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite326.0ms (0.4%)

Algorithm
rewrite-expression-head
Error
53.0b
Rules
pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
Counts
4 → 28
Calls

4 calls:

2.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 5404 to 3886 computations (28.1% saved)

series300.0ms (0.4%)

Error
51.2b
Counts
4 → 18
Calls

4 calls:

43.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
43.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
37.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
36.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 8420 to 6209 computations (26.3% saved)

simplify125.0ms (0.2%)

Algorithm
egg-herbie
Rules
857×distribute-rgt-neg-in_binary64
799×distribute-lft-neg-in_binary64
459×neg-mul-1_binary64
443×neg-sub0_binary64
430×cancel-sign-sub-inv_binary64
381×sub-neg_binary64
287×*-commutative_binary64
282×unsub-neg_binary64
274×unswap-sqr_binary64
233×distribute-rgt-in_binary64
142×distribute-lft-in_binary64
139×associate-*l*_binary64
138×associate-*r*_binary64
116×distribute-rgt-neg-out_binary64
102×sqr-pow_binary64
100×distribute-neg-in_binary64
67×mul0-rgt_binary64 mul0-lft_binary64
52×associate-+l-_binary64
47×associate--r+_binary64 +-commutative_binary64
39×sub0-neg_binary64
33×distribute-lft-neg-out_binary64
28×remove-double-neg_binary64
27×--rgt-identity_binary64
23×cube-prod_binary64 cancel-sign-sub_binary64
20×unpow3_binary64 pow-sqr_binary64
18×associate-+l+_binary64
15×+-rgt-identity_binary64 associate--l+_binary64
14×sqr-neg_binary64 div-sub_binary64
13×cube-unmult_binary64
12×distribute-rgt-out--_binary64 associate--r-_binary64 associate-+r-_binary64
10×cube-mult_binary64 distribute-rgt-out_binary64
unpow2_binary64 pow-plus_binary64 unpow1_binary64
sin-neg_binary64
distribute-lft-out--_binary64 associate-+r+_binary64
cube-neg_binary64 distribute-frac-neg_binary64
unpow1/2_binary64 distribute-lft-out_binary64
*-rgt-identity_binary64 swap-sqr_binary64
associate-/l*_binary64
1-exp_binary64 +-lft-identity_binary64 associate-/r/_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 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-div_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 times-frac_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-lft-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 distribute-neg-frac_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r*_binary64 associate-*r/_binary64 associate--l-_binary64
Counts
46 → 22
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033768
178684
2190684
3687684
41253684
52151684
63348684
74365684
84732684
94790684

prune251.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New22022
Fresh022
Picked011
Done011
Total22426
Error
53.0b
Counts
26 → 4
Compiler

Compiled 4621 to 3338 computations (27.8% saved)

localize92.0ms (0.1%)

Local error

Found 4 expressions with local error:

27.5b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite315.0ms (0.4%)

Algorithm
rewrite-expression-head
Error
53.0b
Rules
pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
Counts
4 → 28
Calls

4 calls:

2.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 5460 to 3915 computations (28.3% saved)

series224.0ms (0.3%)

Error
52.0b
Counts
4 → 13
Calls

4 calls:

37.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
31.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
31.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
31.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 6448 to 4746 computations (26.4% saved)

simplify104.0ms (0.1%)

Algorithm
egg-herbie
Rules
900×distribute-rgt-neg-in_binary64
875×distribute-lft-neg-in_binary64
479×neg-mul-1_binary64
471×neg-sub0_binary64
427×sub-neg_binary64
367×cancel-sign-sub-inv_binary64
350×unswap-sqr_binary64
293×unsub-neg_binary64
257×*-commutative_binary64
207×distribute-rgt-in_binary64
147×distribute-lft-in_binary64
108×associate-*l*_binary64 associate-*r*_binary64
83×distribute-rgt-neg-out_binary64
71×mul0-rgt_binary64 mul0-lft_binary64
56×sqr-pow_binary64 distribute-lft-neg-out_binary64
48×associate--r+_binary64
41×associate-+l-_binary64
39×+-commutative_binary64
37×distribute-neg-in_binary64
29×div-sub_binary64 sub0-neg_binary64
26×--rgt-identity_binary64
22×cube-prod_binary64
20×associate-/l*_binary64
16×distribute-rgt-out--_binary64
13×+-lft-identity_binary64
12×pow-sqr_binary64 associate--r-_binary64
11×sqr-neg_binary64 cancel-sign-sub_binary64
10×unpow3_binary64 +-rgt-identity_binary64 distribute-rgt-out_binary64
sin-neg_binary64 cube-unmult_binary64 associate-+r-_binary64
associate-+l+_binary64
unpow2_binary64 pow-plus_binary64 remove-double-neg_binary64 distribute-lft-out--_binary64 associate-/r*_binary64
swap-sqr_binary64 distribute-frac-neg_binary64
unpow1_binary64 cube-mult_binary64 distribute-lft-out_binary64
unpow1/2_binary64 cube-neg_binary64
1-exp_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 associate-/r/_binary64 associate-*l/_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 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-div_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 times-frac_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 distribute-neg-frac_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-*r/_binary64 associate--l-_binary64
Counts
41 → 20
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025616
155532
2135532
3532532
41029532
51539532
62614532
73601532
84540532
94796532

prune212.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New20020
Fresh011
Picked011
Done022
Total20424
Error
53.0b
Counts
24 → 4
Compiler

Compiled 3892 to 2795 computations (28.2% saved)

regimes5.1s (7%)

Accuracy

Total 4.6b remaining (10.3%)

Threshold costs 0b (0%)

Compiler

Compiled 129886 to 97452 computations (25% saved)

bsearch18.0ms (0%)

Compiler

Compiled 164 to 122 computations (25.6% saved)

simplify24.0ms (0%)

Algorithm
egg-herbie
Rules
32×*-commutative_binary64
28×+-commutative_binary64
23×sub-neg_binary64
17×neg-mul-1_binary64 neg-sub0_binary64
unsub-neg_binary64 distribute-neg-frac_binary64 distribute-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 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 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-frac-neg_binary64 distribute-neg-out_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
075573
1105573
2130573
3154573
4183573
5208573
6221573
7226573
8226573

end8.0ms (0%)

Compiler

Compiled 354 to 259 computations (26.8% saved)

sample45.8s (62.6%)

Algorithm
intervals
Results
16.1s1646×body4096valid
8.7s1398×body2048valid
8.0s1656×body1024valid
6.9s98×body8192exit
2.3s717×body512valid
1.7s2292×body128valid
547.0ms291×body256valid
Compiler

Compiled 1244 to 946 computations (24% saved)

Profiling

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