Details

Time bar (total: 13.1s)

analyze1.8s (14%)

Algorithm
search
egg-herbie
Rules
912×unswap-sqr_binary64
752×sqr-pow_binary64
360×cube-prod_binary64
336×unpow3_binary64
320×cube-mult_binary64
257×*-commutative_binary64
208×pow-sqr_binary64
200×associate-*l*_binary64
192×pow-plus_binary64
168×associate-*r*_binary64
120×rem-sqrt-square_binary64
40×unpow2_binary64 unpow1/2_binary64 unpow1_binary64 cube-unmult_binary64
16×swap-sqr_binary64
associate-/l*_binary64
+-commutative_binary64
associate-/r/_binary64 associate-*l/_binary64 associate-*r/_binary64
1-exp_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-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 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 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 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-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039136
186136
2197136
3361136
4698136
5868136
61296136
72649136
82812136
93009136
103411136
114084136
124396136
134716136
144940136
154958136
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
25%74.9%0.1%6
25%74.9%0.1%7
25%62.4%12.6%8
31.2%56.2%12.6%9
34.3%53%12.6%10
42.9%44.5%12.6%11
46.8%40.6%12.6%12
47.8%39.6%12.6%13
52.6%34.8%12.6%14
Compiler

Compiled 22 to 20 computations (9.1% saved)

sample161.0ms (1.2%)

Algorithm
intervals
Results
55.0ms58×body1024valid
34.0ms38×body1024invalid
20.0ms161×body128valid
14.0ms23×body512valid
8.0ms13×body512invalid
6.0msbody2048valid
3.0ms25×body128invalid
3.0msbody256invalid
3.0msbody256valid
Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify142.0ms (1.1%)

Algorithm
egg-herbie
Rules
1308×sqr-pow_binary64
632×pow-sqr_binary64
484×unswap-sqr_binary64
332×cube-prod_binary64
271×*-commutative_binary64
238×unpow3_binary64 cube-mult_binary64
186×associate-*l*_binary64
120×associate-*r*_binary64
84×pow-plus_binary64
42×rem-sqrt-square_binary64
14×unpow2_binary64 unpow1/2_binary64 unpow1_binary64
10×cube-unmult_binary64
swap-sqr_binary64
associate-/l*_binary64
1-exp_binary64 associate-/r/_binary64 associate-*l/_binary64 associate-*r/_binary64 +-commutative_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 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 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 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 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-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01634
13034
26434
311034
419934
543534
661534
7106834
8108334
9125534
10145634
11177834
12219834
13271234
14336034
15357234
16370234
17373434
18373834
19373834
20455734
21525234

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
20.7b
Counts
1 → 1
Compiler

Compiled 21 to 19 computations (9.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 PI.f64 (/.f64 angle 180))
0.3b
(pow.f64 (*.f64 b (sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))) 2)
24.6b
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.9b
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite154.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
20.1b
Rules
18×add-sqr-sqrt_binary64
13×add-cube-cbrt_binary64 *-un-lft-identity_binary64 associate-*r*_binary64
12×add-exp-log_binary64
10×times-frac_binary64
pow1_binary64 add-cbrt-cube_binary64
add-log-exp_binary64
pow-unpow_binary64 prod-exp_binary64 associate-*l*_binary64
pow-prod-down_binary64 pow-pow_binary64 pow-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64
unpow-prod-down_binary64 pow-to-exp_binary64 unpow2_binary64 sqr-pow_binary64 div-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 64
Calls

4 calls:

7.0ms
(*.f64 PI.f64 (/.f64 angle 180))
4.0ms
(pow.f64 (*.f64 b (sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))) 2)
2.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
Compiler

Compiled 1680 to 1218 computations (27.5% saved)

series87.0ms (0.7%)

Error
20.0b
Counts
4 → 20
Calls

4 calls:

37.0ms
(pow.f64 (*.f64 b (sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))) 2)
12.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
11.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
9.0ms
(*.f64 PI.f64 (/.f64 angle 180))
Compiler

Compiled 1153 to 991 computations (14.1% saved)

simplify112.0ms (0.8%)

Algorithm
egg-herbie
Rules
587×times-frac_binary64
557×unswap-sqr_binary64
314×*-commutative_binary64
298×distribute-rgt-neg-in_binary64
223×cancel-sign-sub-inv_binary64
172×associate-*r/_binary64
158×associate-/l*_binary64 associate-*l/_binary64
134×associate-*r*_binary64
123×associate-*l*_binary64
115×log-prod_binary64
109×sqr-pow_binary64
98×distribute-lft-neg-in_binary64
97×exp-prod_binary64
73×sub-neg_binary64
69×neg-mul-1_binary64 neg-sub0_binary64
58×associate-/l/_binary64
53×swap-sqr_binary64
46×cube-prod_binary64
42×associate-/r*_binary64
40×associate-/r/_binary64
37×unpow3_binary64
33×*-lft-identity_binary64
31×log-pow_binary64
29×*-rgt-identity_binary64
27×log-div_binary64
22×pow-sqr_binary64
21×pow-plus_binary64
20×+-commutative_binary64
17×associate-+l+_binary64
16×cube-unmult_binary64 /-rgt-identity_binary64
15×cube-div_binary64 associate-+r+_binary64
14×associate-+l-_binary64
13×associate--l+_binary64
11×cube-mult_binary64
10×associate-+r-_binary64
rem-sqrt-square_binary64 unsub-neg_binary64
unpow1/2_binary64 distribute-neg-in_binary64 distribute-rgt-in_binary64 associate--r+_binary64
sub0-neg_binary64 +-rgt-identity_binary64
unpow2_binary64 unpow1_binary64
distribute-rgt-out--_binary64 distribute-lft-in_binary64
log-rec_binary64 remove-double-div_binary64 distribute-lft-neg-out_binary64
1-exp_binary64 exp-1-e_binary64 distribute-rgt-out_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 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 mul-1-neg_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64
Counts
84 → 39
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01601308
13451206
210831200
325221194
447821194
549981194
649471194

prune57.0ms (0.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New261339
Fresh000
Picked101
Done000
Total271340
Error
20.1b
Counts
40 → 13
Compiler

Compiled 992 to 756 computations (23.8% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 PI.f64 (/.f64 angle 180))
0.3b
(*.f64 (*.f64 angle PI.f64) (/.f64 1 180))
24.6b
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.8b
(sin.f64 (*.f64 (*.f64 angle PI.f64) (/.f64 1 180)))

rewrite253.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
19.6b
Rules
31×add-exp-log_binary64
26×associate-*r*_binary64
24×add-sqr-sqrt_binary64
21×add-cbrt-cube_binary64
19×add-cube-cbrt_binary64 *-un-lft-identity_binary64 times-frac_binary64
14×prod-exp_binary64
11×pow1_binary64
cbrt-unprod_binary64
div-exp_binary64
add-log-exp_binary64 pow-prod-down_binary64 associate-*l*_binary64
cbrt-undiv_binary64
1-exp_binary64 rec-exp_binary64 associate-*r/_binary64 div-inv_binary64 *-commutative_binary64 unswap-sqr_binary64
un-div-inv_binary64
Counts
4 → 84
Calls

4 calls:

8.0ms
(*.f64 (*.f64 angle PI.f64) (/.f64 1 180))
7.0ms
(*.f64 PI.f64 (/.f64 angle 180))
2.0ms
(sin.f64 (*.f64 (*.f64 angle PI.f64) (/.f64 1 180)))
2.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
Compiler

Compiled 2379 to 1688 computations (29% saved)

series59.0ms (0.4%)

Error
19.6b
Counts
4 → 16
Calls

4 calls:

12.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
10.0ms
(sin.f64 (*.f64 (*.f64 angle PI.f64) (/.f64 1 180)))
9.0ms
(*.f64 PI.f64 (/.f64 angle 180))
9.0ms
(*.f64 (*.f64 angle PI.f64) (/.f64 1 180))
Compiler

Compiled 888 to 756 computations (14.9% saved)

simplify95.0ms (0.7%)

Algorithm
egg-herbie
Rules
427×*-commutative_binary64
373×unswap-sqr_binary64
295×associate-/l*_binary64
289×distribute-rgt-neg-in_binary64
272×cancel-sign-sub-inv_binary64
269×distribute-lft-neg-in_binary64
233×associate-*r/_binary64
227×sub-neg_binary64
222×associate-*l/_binary64
221×associate-*l*_binary64
188×associate-*r*_binary64
187×associate-+l+_binary64
137×neg-mul-1_binary64
130×neg-sub0_binary64
125×times-frac_binary64
103×swap-sqr_binary64
93×associate-/l/_binary64
88×associate-/r*_binary64
79×sqr-pow_binary64
72×associate-/r/_binary64
60×associate-+l-_binary64
55×cube-prod_binary64
52×*-lft-identity_binary64 associate-+r+_binary64
51×exp-prod_binary64
48×*-rgt-identity_binary64 associate--r+_binary64
44×log-prod_binary64
43×associate-+r-_binary64
41×associate--l+_binary64
35×unsub-neg_binary64
33×+-commutative_binary64
30×cube-div_binary64
28×log-div_binary64
27×/-rgt-identity_binary64
21×distribute-neg-in_binary64
20×cube-unmult_binary64
19×unpow3_binary64
13×pow-sqr_binary64
12×cube-mult_binary64 distribute-rgt-in_binary64
10×pow-plus_binary64 +-rgt-identity_binary64 distribute-rgt-out--_binary64 associate--r-_binary64
rem-sqrt-square_binary64 sub0-neg_binary64 distribute-rgt-out_binary64
associate--l-_binary64
log-pow_binary64 distribute-lft-in_binary64
unpow1/2_binary64
remove-double-div_binary64 count-2_binary64
unpow2_binary64 unpow1_binary64 +-lft-identity_binary64 distribute-lft-neg-out_binary64
log-rec_binary64 exp-sum_binary64 1-exp_binary64 exp-1-e_binary64 --rgt-identity_binary64 distribute-lft-out_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 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 div-sub_binary64 mul-1-neg_binary64 remove-double-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64
Counts
100 → 67
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01751313
13911164
213931161
330611161
447221161
550461161

prune151.0ms (1.1%)

Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New521567
Fresh11112
Picked101
Done000
Total542680
Error
19.7b
Counts
80 → 26
Compiler

Compiled 2023 to 1521 computations (24.8% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (*.f64 angle PI.f64) (/.f64 1 180))
1.0b
(/.f64 PI.f64 (sqrt.f64 180))
24.4b
(cos.f64 (*.f64 (/.f64 PI.f64 (sqrt.f64 180)) (/.f64 angle (sqrt.f64 180))))
24.8b
(sin.f64 (*.f64 (*.f64 angle PI.f64) (/.f64 1 180)))

rewrite376.0ms (2.9%)

Algorithm
rewrite-expression-head
Error
19.6b
Rules
28×add-exp-log_binary64
27×times-frac_binary64
26×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
18×add-cbrt-cube_binary64
13×associate-*r*_binary64
12×sqrt-prod_binary64 prod-exp_binary64
pow1_binary64
associate-/r*_binary64 cbrt-unprod_binary64
div-exp_binary64
add-log-exp_binary64
cbrt-undiv_binary64 associate-/l*_binary64 pow-prod-down_binary64
div-inv_binary64 1-exp_binary64 rec-exp_binary64
frac-2neg_binary64 clear-num_binary64 un-div-inv_binary64 associate-*r/_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
4 → 91
Calls

4 calls:

10.0ms
(*.f64 (*.f64 angle PI.f64) (/.f64 1 180))
4.0ms
(/.f64 PI.f64 (sqrt.f64 180))
2.0ms
(sin.f64 (*.f64 (*.f64 angle PI.f64) (/.f64 1 180)))
2.0ms
(cos.f64 (*.f64 (/.f64 PI.f64 (sqrt.f64 180)) (/.f64 angle (sqrt.f64 180))))
Compiler

Compiled 2857 to 2148 computations (24.8% saved)

series70.0ms (0.5%)

Error
19.7b
Counts
4 → 13
Calls

4 calls:

19.0ms
(cos.f64 (*.f64 (/.f64 PI.f64 (sqrt.f64 180)) (/.f64 angle (sqrt.f64 180))))
11.0ms
(sin.f64 (*.f64 (*.f64 angle PI.f64) (/.f64 1 180)))
10.0ms
(*.f64 (*.f64 angle PI.f64) (/.f64 1 180))
0.0ms
(/.f64 PI.f64 (sqrt.f64 180))
Compiler

Compiled 889 to 775 computations (12.8% saved)

simplify82.0ms (0.6%)

Algorithm
egg-herbie
Rules
426×associate-/l*_binary64
419×unswap-sqr_binary64
342×*-commutative_binary64
279×times-frac_binary64
244×cancel-sign-sub-inv_binary64
194×associate-/r*_binary64
193×associate-*l/_binary64
150×associate-*r/_binary64
141×associate-*l*_binary64
139×swap-sqr_binary64
122×associate-*r*_binary64
114×associate-/l/_binary64
107×sub-neg_binary64 associate-/r/_binary64
82×sqr-pow_binary64
68×distribute-rgt-neg-in_binary64
67×neg-mul-1_binary64
66×neg-sub0_binary64 distribute-lft-neg-in_binary64
58×log-div_binary64 cube-div_binary64
54×log-prod_binary64
52×exp-prod_binary64 cube-prod_binary64
47×associate-+r+_binary64
44×associate-+l+_binary64
36×+-commutative_binary64
31×associate-+l-_binary64
30×*-rgt-identity_binary64
26×/-rgt-identity_binary64
25×*-lft-identity_binary64
24×distribute-neg-frac_binary64
19×associate-+r-_binary64
14×cube-unmult_binary64 associate--l+_binary64
13×unsub-neg_binary64 associate--r+_binary64
12×remove-double-div_binary64
11×sub0-neg_binary64 pow-sqr_binary64
10×log-rec_binary64 +-rgt-identity_binary64
unpow3_binary64
log-pow_binary64 pow-plus_binary64 cube-mult_binary64
rem-sqrt-square_binary64
unpow1/2_binary64
unpow2_binary64 unpow1_binary64 associate--l-_binary64
+-lft-identity_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-rgt-in_binary64
1-exp_binary64 exp-1-e_binary64 rem-square-sqrt_binary64 --rgt-identity_binary64 +-inverses_binary64 distribute-lft-neg-out_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_binary64 mul-1-neg_binary64 remove-double-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_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 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-lft-in_binary64 count-2_binary64 associate--r-_binary64
Counts
104 → 63
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01891587
13931433
212181359
333901333
449211333

prune179.0ms (1.4%)

Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New58563
Fresh22325
Picked101
Done000
Total612889
Error
19.7b
Counts
89 → 28
Compiler

Compiled 2105 to 1644 computations (21.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b
(pow.f64 (*.f64 b (sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))) 2)
0.3b
(pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)
24.6b
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.9b
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite237.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
19.7b
Rules
pow1_binary64 add-exp-log_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
pow-unpow_binary64
add-cbrt-cube_binary64
add-log-exp_binary64 unpow-prod-down_binary64
pow-pow_binary64 pow-exp_binary64 cube-prod_binary64
pow-to-exp_binary64 sqr-pow_binary64
unpow3_binary64 cube-mult_binary64 rem-cube-cbrt_binary64 pow-prod-down_binary64 prod-exp_binary64 unpow2_binary64
Counts
4 → 55
Calls

4 calls:

4.0ms
(pow.f64 (*.f64 b (sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))) 2)
3.0ms
(pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)
2.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
Compiler

Compiled 1484 to 1139 computations (23.2% saved)

series144.0ms (1.1%)

Error
19.4b
Counts
4 → 23
Calls

4 calls:

38.0ms
(pow.f64 (*.f64 b (sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))) 2)
18.0ms
(pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)
14.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
13.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
Compiler

Compiled 1496 to 1298 computations (13.2% saved)

simplify93.0ms (0.7%)

Algorithm
egg-herbie
Rules
358×unswap-sqr_binary64
342×cancel-sign-sub-inv_binary64
320×distribute-rgt-neg-in_binary64
314×*-commutative_binary64
311×distribute-lft-neg-in_binary64
250×log-prod_binary64
243×exp-prod_binary64
201×sqr-pow_binary64
142×associate-+l+_binary64
131×cube-prod_binary64
118×associate-*r*_binary64
114×associate-+r+_binary64
101×unpow3_binary64
96×sub-neg_binary64
85×associate-*l*_binary64
77×neg-mul-1_binary64 neg-sub0_binary64
76×associate-+l-_binary64
72×swap-sqr_binary64
65×associate-/l*_binary64
58×pow-sqr_binary64
57×log-pow_binary64
52×distribute-rgt-in_binary64
48×pow-plus_binary64
42×associate--l+_binary64
39×distribute-lft-in_binary64
34×associate-+r-_binary64
26×cube-unmult_binary64 associate-/l/_binary64
25×+-commutative_binary64
22×rem-sqrt-square_binary64 distribute-rgt-out_binary64
21×cube-mult_binary64
20×associate--r+_binary64
16×unsub-neg_binary64
15×count-2_binary64
14×associate-*r/_binary64
12×associate--l-_binary64
10×sub0-neg_binary64 distribute-rgt-out--_binary64 associate-/r/_binary64
unpow2_binary64 distribute-lft-out_binary64
+-rgt-identity_binary64 associate-/r*_binary64
unpow1/2_binary64 unpow1_binary64 *-rgt-identity_binary64 associate-*l/_binary64
*-lft-identity_binary64
distribute-neg-in_binary64 distribute-lft-neg-out_binary64
associate--r-_binary64
1-exp_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 rem-square-sqrt_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 sqr-abs_binary64 sqr-neg_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64
Counts
78 → 43
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01321402
13031312
29191294
323491291
448201277
549581277

prune106.0ms (0.8%)

Pruning

30 alts after pruning (30 fresh and 0 done)

PrunedKeptTotal
New40343
Fresh02727
Picked101
Done000
Total413071
Error
19.7b
Counts
71 → 30
Compiler

Compiled 744 to 554 computations (25.5% saved)

regimes2.6s (19.7%)

Accuracy

Total 1.3b remaining (6.4%)

Threshold costs 0b (0%)

Compiler

Compiled 42368 to 37596 computations (11.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01834
12334
22334

end1.0ms (0%)

Compiler

Compiled 21 to 19 computations (9.5% saved)

sample6.1s (46.3%)

Algorithm
intervals
Results
1.4s1530×body1024valid
1.2s1279×body1024invalid
639.0ms5076×body128valid
486.0ms830×body512valid
412.0ms654×body512invalid
250.0ms172×body2048valid
132.0ms387×body256valid
106.0ms299×body256invalid
89.0ms652×body128invalid
23.0msbody4096valid
Compiler

Compiled 930 to 813 computations (12.6% saved)

Profiling

Loading profile data...