Details

Time bar (total: 1.2min)

analyze16.6s (22.7%)

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)

sample1.5s (2.1%)

Algorithm
intervals
Results
667.0ms68×body4096valid
285.0ms44×body2048valid
208.0ms44×body1024valid
203.0msbody8192exit
62.0ms20×body512valid
51.0ms70×body128valid
19.0ms10×body256valid
Compiler

Compiled 339 to 258 computations (23.9% saved)

simplify40.0ms (0.1%)

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
54.7b
Counts
2 → 1
Compiler

Compiled 338 to 245 computations (27.5% saved)

localize78.0ms (0.1%)

Local error

Found 4 expressions with local error:

29.6b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
29.6b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
29.6b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
29.6b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite450.0ms (0.6%)

Algorithm
rewrite-expression-head
Error
53.7b
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)

series297.0ms (0.4%)

Error
53.6b
Counts
4 → 20
Calls

4 calls:

45.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
41.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
39.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
39.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 8256 to 6062 computations (26.6% saved)

simplify197.0ms (0.3%)

Algorithm
egg-herbie
Rules
1077×distribute-rgt-neg-in_binary64
632×unsub-neg_binary64
544×cancel-sign-sub-inv_binary64
509×distribute-lft-neg-in_binary64
402×unswap-sqr_binary64
367×*-commutative_binary64
362×sub-neg_binary64
324×neg-mul-1_binary64
312×neg-sub0_binary64
239×sqr-pow_binary64
229×distribute-rgt-in_binary64
197×+-commutative_binary64
186×distribute-lft-in_binary64
176×associate-*r*_binary64
170×associate-*l*_binary64
160×distribute-neg-in_binary64
115×remove-double-neg_binary64
109×distribute-lft-neg-out_binary64
83×mul0-rgt_binary64 mul0-lft_binary64
78×associate--r+_binary64
70×associate-+l-_binary64
68×pow-sqr_binary64
66×associate--l+_binary64
44×swap-sqr_binary64
40×cube-prod_binary64
37×sqr-neg_binary64 associate-+l+_binary64
36×unpow3_binary64
35×distribute-rgt-neg-out_binary64 associate--r-_binary64
27×associate-+r+_binary64
25×associate-+r-_binary64
22×cube-mult_binary64 associate--l-_binary64
21×distribute-rgt-out--_binary64
20×sub0-neg_binary64
19×cube-unmult_binary64
18×+-rgt-identity_binary64
15×cancel-sign-sub_binary64
14×unpow2_binary64 pow-plus_binary64
13×distribute-lft-out--_binary64
12×unpow1_binary64
10×distribute-neg-out_binary64 distribute-rgt-out_binary64
*-lft-identity_binary64
+-lft-identity_binary64
unpow1/2_binary64
--rgt-identity_binary64
mul-1-neg_binary64 distribute-lft-out_binary64
*-rgt-identity_binary64
sin-neg_binary64 cube-neg_binary64 associate-/l*_binary64
1-exp_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 div-sub_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-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r*_binary64 associate-*r/_binary64
Counts
48 → 23
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041864
1102780
2273780
3963780
41895780
53295780
64302780
74936780
83989780
94454780
104677780
115395780

prune212.0ms (0.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New17623
Fresh000
Picked101
Done000
Total18624
Error
53.6b
Counts
24 → 6
Compiler

Compiled 5136 to 3711 computations (27.7% saved)

localize88.0ms (0.1%)

Local error

Found 4 expressions with local error:

29.6b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
29.6b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
29.6b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
29.6b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite397.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
53.6b
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:

3.0ms
(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)

series347.0ms (0.5%)

Error
53.6b
Counts
4 → 22
Calls

4 calls:

42.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
42.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
41.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
41.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 8990 to 6637 computations (26.2% saved)

simplify195.0ms (0.3%)

Algorithm
egg-herbie
Rules
1077×distribute-rgt-neg-in_binary64
632×unsub-neg_binary64
544×cancel-sign-sub-inv_binary64
509×distribute-lft-neg-in_binary64
402×unswap-sqr_binary64
367×*-commutative_binary64
362×sub-neg_binary64
324×neg-mul-1_binary64
312×neg-sub0_binary64
239×sqr-pow_binary64
229×distribute-rgt-in_binary64
197×+-commutative_binary64
186×distribute-lft-in_binary64
176×associate-*r*_binary64
170×associate-*l*_binary64
160×distribute-neg-in_binary64
115×remove-double-neg_binary64
109×distribute-lft-neg-out_binary64
83×mul0-rgt_binary64 mul0-lft_binary64
78×associate--r+_binary64
70×associate-+l-_binary64
68×pow-sqr_binary64
66×associate--l+_binary64
44×swap-sqr_binary64
40×cube-prod_binary64
37×sqr-neg_binary64 associate-+l+_binary64
36×unpow3_binary64
35×distribute-rgt-neg-out_binary64 associate--r-_binary64
27×associate-+r+_binary64
25×associate-+r-_binary64
22×cube-mult_binary64 associate--l-_binary64
21×distribute-rgt-out--_binary64
20×sub0-neg_binary64
19×cube-unmult_binary64
18×+-rgt-identity_binary64
15×cancel-sign-sub_binary64
14×unpow2_binary64 pow-plus_binary64
13×distribute-lft-out--_binary64
12×unpow1_binary64
10×distribute-neg-out_binary64 distribute-rgt-out_binary64
*-lft-identity_binary64
+-lft-identity_binary64
unpow1/2_binary64
--rgt-identity_binary64
mul-1-neg_binary64 distribute-lft-out_binary64
*-rgt-identity_binary64
sin-neg_binary64 cube-neg_binary64 associate-/l*_binary64
1-exp_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 div-sub_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-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r*_binary64 associate-*r/_binary64
Counts
50 → 24
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041960
1102876
2273876
3963876
41895876
53295876
64302876
74936876
83989876
94454876
104677876
115395876

prune344.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New24024
Fresh055
Picked011
Done000
Total24630
Error
53.6b
Counts
30 → 6
Compiler

Compiled 5224 to 3788 computations (27.5% saved)

localize91.0ms (0.1%)

Local error

Found 4 expressions with local error:

29.6b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
29.6b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
29.6b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
29.6b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite391.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
53.6b
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 4984 to 3578 computations (28.2% saved)

series352.0ms (0.5%)

Error
52.5b
Counts
4 → 21
Calls

4 calls:

41.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
40.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
40.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
36.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 8550 to 6300 computations (26.3% saved)

simplify190.0ms (0.3%)

Algorithm
egg-herbie
Rules
1077×distribute-rgt-neg-in_binary64
632×unsub-neg_binary64
544×cancel-sign-sub-inv_binary64
509×distribute-lft-neg-in_binary64
402×unswap-sqr_binary64
367×*-commutative_binary64
362×sub-neg_binary64
324×neg-mul-1_binary64
312×neg-sub0_binary64
239×sqr-pow_binary64
229×distribute-rgt-in_binary64
197×+-commutative_binary64
186×distribute-lft-in_binary64
176×associate-*r*_binary64
170×associate-*l*_binary64
160×distribute-neg-in_binary64
115×remove-double-neg_binary64
109×distribute-lft-neg-out_binary64
83×mul0-rgt_binary64 mul0-lft_binary64
78×associate--r+_binary64
70×associate-+l-_binary64
68×pow-sqr_binary64
66×associate--l+_binary64
44×swap-sqr_binary64
40×cube-prod_binary64
37×sqr-neg_binary64 associate-+l+_binary64
36×unpow3_binary64
35×distribute-rgt-neg-out_binary64 associate--r-_binary64
27×associate-+r+_binary64
25×associate-+r-_binary64
22×cube-mult_binary64 associate--l-_binary64
21×distribute-rgt-out--_binary64
20×sub0-neg_binary64
19×cube-unmult_binary64
18×+-rgt-identity_binary64
15×cancel-sign-sub_binary64
14×unpow2_binary64 pow-plus_binary64
13×distribute-lft-out--_binary64
12×unpow1_binary64
10×distribute-neg-out_binary64 distribute-rgt-out_binary64
*-lft-identity_binary64
+-lft-identity_binary64
unpow1/2_binary64
--rgt-identity_binary64
mul-1-neg_binary64 distribute-lft-out_binary64
*-rgt-identity_binary64
sin-neg_binary64 cube-neg_binary64 associate-/l*_binary64
1-exp_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 div-sub_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-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r*_binary64 associate-*r/_binary64
Counts
49 → 23
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041920
1102836
2273836
3963836
41895836
53295836
64302836
74936836
83989836
94454836
104677836
115395836

prune318.0ms (0.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New23023
Fresh044
Picked011
Done011
Total23629
Error
53.6b
Counts
29 → 6
Compiler

Compiled 4839 to 3500 computations (27.7% saved)

localize89.0ms (0.1%)

Local error

Found 4 expressions with local error:

29.6b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
29.6b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
29.6b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
29.6b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite390.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
53.6b
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)

series354.0ms (0.5%)

Error
52.5b
Counts
4 → 21
Calls

4 calls:

41.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
41.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
40.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
34.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 8598 to 6348 computations (26.2% saved)

simplify197.0ms (0.3%)

Algorithm
egg-herbie
Rules
1077×distribute-rgt-neg-in_binary64
632×unsub-neg_binary64
544×cancel-sign-sub-inv_binary64
509×distribute-lft-neg-in_binary64
402×unswap-sqr_binary64
367×*-commutative_binary64
362×sub-neg_binary64
324×neg-mul-1_binary64
312×neg-sub0_binary64
239×sqr-pow_binary64
229×distribute-rgt-in_binary64
197×+-commutative_binary64
186×distribute-lft-in_binary64
176×associate-*r*_binary64
170×associate-*l*_binary64
160×distribute-neg-in_binary64
115×remove-double-neg_binary64
109×distribute-lft-neg-out_binary64
83×mul0-rgt_binary64 mul0-lft_binary64
78×associate--r+_binary64
70×associate-+l-_binary64
68×pow-sqr_binary64
66×associate--l+_binary64
44×swap-sqr_binary64
40×cube-prod_binary64
37×sqr-neg_binary64 associate-+l+_binary64
36×unpow3_binary64
35×distribute-rgt-neg-out_binary64 associate--r-_binary64
27×associate-+r+_binary64
25×associate-+r-_binary64
22×cube-mult_binary64 associate--l-_binary64
21×distribute-rgt-out--_binary64
20×sub0-neg_binary64
19×cube-unmult_binary64
18×+-rgt-identity_binary64
15×cancel-sign-sub_binary64
14×unpow2_binary64 pow-plus_binary64
13×distribute-lft-out--_binary64
12×unpow1_binary64
10×distribute-neg-out_binary64 distribute-rgt-out_binary64
*-lft-identity_binary64
+-lft-identity_binary64
unpow1/2_binary64
--rgt-identity_binary64
mul-1-neg_binary64 distribute-lft-out_binary64
*-rgt-identity_binary64
sin-neg_binary64 cube-neg_binary64 associate-/l*_binary64
1-exp_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 div-sub_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-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r*_binary64 associate-*r/_binary64
Counts
49 → 23
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041920
1102836
2273836
3963836
41895836
53295836
64302836
74936836
83989836
94454836
104677836
115395836

prune298.0ms (0.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New23023
Fresh033
Picked011
Done022
Total23629
Error
53.6b
Counts
29 → 6
Compiler

Compiled 4145 to 2986 computations (28% saved)

regimes4.9s (6.7%)

Accuracy

Total 4.7b remaining (10.5%)

Threshold costs 0b (0%)

Compiler

Compiled 116952 to 87843 computations (24.9% saved)

bsearch15.0ms (0%)

Compiler

Compiled 164 to 122 computations (25.6% saved)

simplify28.0ms (0%)

Algorithm
egg-herbie
Rules
28×+-commutative_binary64
27×*-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
067548
192548
2117548
3141548
4170548
5195548
6208548
7213548
8213548

end9.0ms (0%)

Compiler

Compiled 340 to 249 computations (26.8% saved)

sample44.6s (61.1%)

Algorithm
intervals
Results
17.1s1722×body4096valid
8.8s1425×body2048valid
7.8s1645×body1024valid
4.7s69×body8192exit
2.2s678×body512valid
1.7s2207×body128valid
648.0ms323×body256valid
Compiler

Compiled 1573 to 1193 computations (24.2% saved)

Profiling

Loading profile data...