Details

Time bar (total: 5.4s)

analyze430.0ms (7.9%)

Algorithm
search
egg-herbie
Rules
642×div-sub_binary64
482×associate-*l/_binary64
396×associate-/r*_binary64
392×cancel-sign-sub-inv_binary64
336×associate-/r/_binary64
326×associate-*r/_binary64
296×associate-/l/_binary64
234×neg-mul-1_binary64
184×distribute-rgt-in_binary64
178×sub-neg_binary64
160×associate-/l*_binary64
134×neg-sub0_binary64 distribute-neg-frac_binary64
122×distribute-lft-in_binary64
114×times-frac_binary64
104×distribute-rgt-neg-in_binary64
96×associate-*r*_binary64
90×distribute-lft-neg-in_binary64 associate-*l*_binary64
82×*-commutative_binary64
80×unsub-neg_binary64
58×distribute-rgt-neg-out_binary64
56×distribute-frac-neg_binary64
54×distribute-lft-neg-out_binary64
44×div0_binary64
42×*-lft-identity_binary64
32×sqr-pow_binary64
26×mul0-rgt_binary64
24×+-commutative_binary64
22×*-rgt-identity_binary64 mul0-lft_binary64
20×unswap-sqr_binary64
16×pow-sqr_binary64
12×sub0-neg_binary64 distribute-neg-in_binary64 associate-+l-_binary64
10×+-rgt-identity_binary64 distribute-rgt-out--_binary64
/-rgt-identity_binary64
exp-diff_binary64 exp-sum_binary64 cube-unmult_binary64 mul-1-neg_binary64 associate--r+_binary64 associate-+r-_binary64
unpow3_binary64 exp-prod_binary64 cube-prod_binary64 --rgt-identity_binary64 associate-+l+_binary64
sinh-def_binary64 pow-plus_binary64 exp-neg_binary64 remove-double-neg_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 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 unpow1/2_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-mult_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-sqrt-square_binary64 rem-square-sqrt_binary64 +-lft-identity_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 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
12822
26122
313622
430022
566522
6182722
7393622
8473622
9485422
022
122
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
12.5%87.4%0.1%4
18.7%81.2%0.1%5
21.9%78%0.1%6
50%43.7%6.3%7
50%43.7%6.3%8
56.2%34.3%9.5%9
56.2%34.3%9.5%10
59.3%29.7%11%11
59.3%29.7%11%12
60.9%27.3%11.8%13
60.9%27.3%11.8%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample78.0ms (1.4%)

Algorithm
intervals
Results
18.0ms85×body1024invalid
15.0ms65×body1024valid
8.0ms142×body128valid
6.0ms39×body512invalid
6.0ms36×body512valid
4.0ms79×body128invalid
2.0ms17×body256invalid
1.0ms13×body256valid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify64.0ms (1.2%)

Algorithm
egg-herbie
Rules
624×div-sub_binary64
491×times-frac_binary64
410×associate-/l*_binary64
354×cancel-sign-sub-inv_binary64
341×unsub-neg_binary64
307×associate-*l*_binary64
301×associate-*r*_binary64
249×distribute-rgt-in_binary64
236×neg-mul-1_binary64
212×associate-*l/_binary64
210×neg-sub0_binary64
196×distribute-rgt-neg-in_binary64
184×distribute-lft-in_binary64
181×distribute-neg-frac_binary64
177×associate-/r*_binary64
158×distribute-lft-neg-in_binary64
151×associate-/r/_binary64
145×associate-/l/_binary64
144×associate-*r/_binary64
120×distribute-lft-neg-out_binary64
116×distribute-rgt-neg-out_binary64
100×sub-neg_binary64
99×*-commutative_binary64
68×distribute-frac-neg_binary64
40×distribute-neg-in_binary64
34×*-lft-identity_binary64
27×*-rgt-identity_binary64
22×div0_binary64 +-commutative_binary64
16×associate--r+_binary64
15×/-rgt-identity_binary64
14×sqr-pow_binary64 unswap-sqr_binary64
13×mul0-rgt_binary64
12×exp-prod_binary64 associate-+l-_binary64
11×mul0-lft_binary64 associate--l-_binary64
distribute-rgt-out--_binary64
sub0-neg_binary64
pow-sqr_binary64 associate-+r-_binary64
exp-diff_binary64 exp-sum_binary64 associate-+l+_binary64
cube-unmult_binary64 cube-prod_binary64
exp-lft-sqr_binary64 +-rgt-identity_binary64 associate--l+_binary64 associate-+r+_binary64
exp-sqrt_binary64 mul-1-neg_binary64 --rgt-identity_binary64
unpow3_binary64 pow-plus_binary64 +-lft-identity_binary64 distribute-lft-out_binary64 associate--r-_binary64
sinh-def_binary64 prod-exp_binary64 exp-neg_binary64 1-exp_binary64 remove-double-neg_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 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 unpow1/2_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_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-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 *-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 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 count-2_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11611
23411
37311
415711
534411
693211
7292711
8408711
9503011

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Compiled 7 to 6 computations (14.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (sinh.f64 y) y)
0.0b
(sinh.f64 y)
0.0b
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

rewrite75.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
24×add-sqr-sqrt_binary64
19×add-cube-cbrt_binary64 *-un-lft-identity_binary64 times-frac_binary64
13×associate-*r*_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
add-log-exp_binary64 associate-*l*_binary64 associate-/l*_binary64 associate-/r*_binary64
div-exp_binary64 prod-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-inv_binary64 sinh-def_binary64
pow-prod-down_binary64 associate-*r/_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64 associate-/l/_binary64
Counts
3 → 68
Calls

3 calls:

7.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms
(/.f64 (sinh.f64 y) y)
1.0ms
(sinh.f64 y)
Compiler

Compiled 915 to 229 computations (75% saved)

series90.0ms (1.7%)

Error
0.0b
Counts
3 → 21
Calls

3 calls:

43.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
15.0ms
(/.f64 (sinh.f64 y) y)
11.0ms
(sinh.f64 y)
Compiler

Compiled 779 to 579 computations (25.7% saved)

simplify119.0ms (2.2%)

Algorithm
egg-herbie
Rules
467×associate-*l*_binary64
365×associate-*r*_binary64
303×associate-/l*_binary64
290×div-sub_binary64
267×associate-*r/_binary64
253×associate-*l/_binary64
251×times-frac_binary64
168×*-commutative_binary64
154×log-prod_binary64
147×associate-/r*_binary64
131×log-div_binary64
129×associate-/l/_binary64
124×exp-prod_binary64
100×sub-neg_binary64
94×associate-/r/_binary64
80×unswap-sqr_binary64
75×associate-+l+_binary64
67×+-commutative_binary64
66×exp-diff_binary64
58×unpow3_binary64
54×*-lft-identity_binary64 sqr-pow_binary64
50×*-rgt-identity_binary64
47×cube-prod_binary64
44×associate-+r+_binary64
42×cube-div_binary64
38×neg-sub0_binary64
35×distribute-rgt-neg-in_binary64 distribute-rgt-in_binary64
33×distribute-lft-in_binary64
31×neg-mul-1_binary64
27×/-rgt-identity_binary64 cancel-sign-sub-inv_binary64
25×distribute-lft-neg-in_binary64
21×distribute-neg-frac_binary64
15×exp-sum_binary64
14×associate-+l-_binary64
13×log-rec_binary64 distribute-rgt-out_binary64
12×associate-+r-_binary64
10×cube-unmult_binary64
pow-plus_binary64 mul-1-neg_binary64
unsub-neg_binary64 +-rgt-identity_binary64 pow-sqr_binary64 distribute-lft-neg-out_binary64 distribute-lft-out--_binary64
exp-sqrt_binary64 swap-sqr_binary64 distribute-neg-in_binary64 associate--l-_binary64
cube-mult_binary64 distribute-rgt-out--_binary64
log-pow_binary64 sub0-neg_binary64 associate--r+_binary64
unpow1/2_binary64 remove-double-neg_binary64 remove-double-div_binary64 distribute-rgt1-in_binary64 distribute-lft-out_binary64 associate--r-_binary64
distribute-rgt-neg-out_binary64
sinh-def_binary64 unpow2_binary64 unpow1_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 distribute-lft1-in_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 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 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 --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-frac-neg_binary64 distribute-neg-out_binary64 count-2_binary64
Counts
89 → 40
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01621340
13821238
211581164
335941164
445361164
549801164
649301164

prune27.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New36440
Fresh000
Picked011
Done000
Total36541
Error
0b
Counts
41 → 5
Compiler

Compiled 432 to 208 computations (51.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/120 (pow.f64 y 4)))
0.1b
(*.f64 1/120 (pow.f64 y 4))
0.1b
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/120 (pow.f64 y 4))))
0.2b
(*.f64 1/6 (*.f64 y y))

rewrite116.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
18×add-sqr-sqrt_binary64
16×add-exp-log_binary64
13×add-cbrt-cube_binary64
11×pow1_binary64 associate-*r*_binary64
10×add-cube-cbrt_binary64 *-un-lft-identity_binary64
associate-*l*_binary64
prod-exp_binary64
add-log-exp_binary64
cbrt-unprod_binary64 unswap-sqr_binary64
pow-prod-down_binary64 unpow-prod-down_binary64
*-commutative_binary64
flip3-+_binary64 associate-*r/_binary64 flip-+_binary64 sqr-pow_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64 pow-to-exp_binary64 pow-exp_binary64 sum-log_binary64 +-commutative_binary64
Counts
4 → 77
Calls

4 calls:

9.0ms
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/120 (pow.f64 y 4))))
6.0ms
(+.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/120 (pow.f64 y 4)))
5.0ms
(*.f64 1/6 (*.f64 y y))
5.0ms
(*.f64 1/120 (pow.f64 y 4))
Compiler

Compiled 1844 to 1105 computations (40.1% saved)

series100.0ms (1.8%)

Error
0b
Counts
4 → 22
Calls

4 calls:

49.0ms
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/120 (pow.f64 y 4))))
20.0ms
(+.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/120 (pow.f64 y 4)))
9.0ms
(*.f64 1/6 (*.f64 y y))
9.0ms
(*.f64 1/120 (pow.f64 y 4))
Compiler

Compiled 841 to 648 computations (22.9% saved)

simplify139.0ms (2.6%)

Algorithm
egg-herbie
Rules
509×*-commutative_binary64
502×cancel-sign-sub-inv_binary64
354×distribute-rgt-neg-in_binary64
331×distribute-lft-neg-in_binary64
270×distribute-rgt-out_binary64
251×distribute-rgt-in_binary64
238×distribute-lft-in_binary64
221×associate-*r*_binary64
212×associate-*l*_binary64
198×unswap-sqr_binary64
158×neg-mul-1_binary64
156×exp-prod_binary64
154×neg-sub0_binary64
114×sqr-pow_binary64 distribute-rgt-out--_binary64
100×sub-neg_binary64
89×log-prod_binary64
77×swap-sqr_binary64
54×cube-prod_binary64
32×unpow3_binary64 *-lft-identity_binary64 +-commutative_binary64
31×*-rgt-identity_binary64
26×distribute-lft-neg-out_binary64
24×associate-+l+_binary64
19×log-pow_binary64 associate-+r+_binary64
18×cube-mult_binary64
17×distribute-lft-out_binary64
15×pow-plus_binary64 pow-sqr_binary64 distribute-neg-in_binary64
14×unsub-neg_binary64
11×rem-sqrt-square_binary64
10×associate-+l-_binary64
associate-+r-_binary64
+-rgt-identity_binary64 associate--l+_binary64
unpow1/2_binary64 cube-unmult_binary64
distribute-rgt-neg-out_binary64 distribute-lft-out--_binary64 associate--r+_binary64
unpow2_binary64
exp-sum_binary64 sub0-neg_binary64 associate-/l*_binary64
unpow1_binary64
difference-of-squares_binary64
prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-square-sqrt_binary64 count-2_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-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 exp-diff_binary64 exp-neg_binary64 e-exp-1_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 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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--r-_binary64 associate--l-_binary64
Counts
99 → 58
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01521663
13721538
212541499
329131484
447221484
549561484
649321484

prune45.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh033
Picked011
Done011
Total58563
Error
0b
Counts
63 → 5
Compiler

Compiled 834 to 501 computations (39.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(sinh.f64 y)
0.0b
(exp.f64 (/.f64 (sinh.f64 y) y))
0.3b
(pow.f64 (exp.f64 (/.f64 (sinh.f64 y) y)) (sin.f64 x))
3.3b
(log.f64 (pow.f64 (exp.f64 (/.f64 (sinh.f64 y) y)) (sin.f64 x)))

rewrite60.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
26×exp-prod_binary64
22×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
18×times-frac_binary64
14×pow-pow_binary64
log-prod_binary64
unpow-prod-down_binary64
pow1_binary64 add-exp-log_binary64 add-log-exp_binary64
add-cbrt-cube_binary64
rem-log-exp_binary64 pow-unpow_binary64
sqr-pow_binary64 pow-to-exp_binary64 pow-exp_binary64 div-inv_binary64
log-pow_binary64 rem-exp-log_binary64 sinh-def_binary64
Counts
4 → 77
Calls

4 calls:

5.0ms
(pow.f64 (exp.f64 (/.f64 (sinh.f64 y) y)) (sin.f64 x))
4.0ms
(log.f64 (pow.f64 (exp.f64 (/.f64 (sinh.f64 y) y)) (sin.f64 x)))
4.0ms
(exp.f64 (/.f64 (sinh.f64 y) y))
1.0ms
(sinh.f64 y)
Compiler

Compiled 1239 to 332 computations (73.2% saved)

series792.0ms (14.6%)

Error
0b
Counts
4 → 43
Calls

4 calls:

611.0ms
(log.f64 (pow.f64 (exp.f64 (/.f64 (sinh.f64 y) y)) (sin.f64 x)))
91.0ms
(pow.f64 (exp.f64 (/.f64 (sinh.f64 y) y)) (sin.f64 x))
36.0ms
(exp.f64 (/.f64 (sinh.f64 y) y))
12.0ms
(sinh.f64 y)
Compiler

Compiled 2973 to 2059 computations (30.7% saved)

simplify162.0ms (3%)

Algorithm
egg-herbie
Rules
234×associate-*r*_binary64
217×cancel-sign-sub-inv_binary64
199×associate-/l/_binary64
180×associate-+r+_binary64
176×associate-*l*_binary64
172×*-commutative_binary64
164×sub-neg_binary64
161×+-commutative_binary64
141×associate-+l+_binary64
139×times-frac_binary64
132×associate-/l*_binary64
122×unswap-sqr_binary64
100×exp-prod_binary64
94×sqr-pow_binary64
82×distribute-rgt-neg-in_binary64
81×distribute-rgt-out_binary64
80×log-pow_binary64
78×associate-/r*_binary64
77×distribute-rgt-in_binary64
75×distribute-neg-in_binary64
73×associate--l+_binary64
72×log-prod_binary64
69×distribute-neg-frac_binary64 distribute-lft-neg-in_binary64 associate-*r/_binary64
53×associate-*l/_binary64
50×distribute-lft-in_binary64
48×associate--r+_binary64
40×neg-sub0_binary64
38×neg-mul-1_binary64
33×unsub-neg_binary64
30×*-rgt-identity_binary64
29×distribute-lft-out_binary64
26×*-lft-identity_binary64
25×pow-sqr_binary64
20×unpow3_binary64
19×prod-exp_binary64
18×associate-/r/_binary64
16×div-sub_binary64
14×cube-prod_binary64 swap-sqr_binary64
13×cube-unmult_binary64 distribute-rgt1-in_binary64
12×count-2_binary64
11×log-div_binary64 distribute-lft-neg-out_binary64 distribute-rgt-out--_binary64
pow-plus_binary64 distribute-lft-out--_binary64
exp-to-pow_binary64 /-rgt-identity_binary64
unpow1/2_binary64
exp-sum_binary64
unpow2_binary64 unpow1_binary64 cube-mult_binary64 difference-of-squares_binary64
pow-base-1_binary64 exp-sqrt_binary64 rem-log-exp_binary64 cube-div_binary64 rem-sqrt-square_binary64
exp-diff_binary64 mul-1-neg_binary64 distribute-lft1-in_binary64
sinh-def_binary64 log-E_binary64 exp-neg_binary64 e-exp-1_binary64 1-exp_binary64 rem-exp-log_binary64 +-rgt-identity_binary64 mul0-lft_binary64 lft-mult-inverse_binary64 distribute-neg-out_binary64 distribute-rgt-neg-out_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 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-rec_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 exp-1-e_binary64 exp-0_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 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 associate--r-_binary64 associate--l-_binary64 associate-+l-_binary64
Counts
120 → 79
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03613158
18512824
230732615
347792615
449812615
549392615

prune49.0ms (0.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New79079
Fresh022
Picked011
Done022
Total79584
Error
0b
Counts
84 → 5
Compiler

Compiled 1498 to 676 computations (54.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(sinh.f64 y)
0.1b
(/.f64 (sqrt.f64 (sinh.f64 y)) y)
0.1b
(*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))
3.7b
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 (sinh.f64 y)) y))

rewrite81.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
39×add-sqr-sqrt_binary64
36×times-frac_binary64
35×add-cube-cbrt_binary64 *-un-lft-identity_binary64
28×associate-*r*_binary64
25×sqrt-prod_binary64
20×add-exp-log_binary64 add-cbrt-cube_binary64
11×pow1_binary64
prod-exp_binary64 cbrt-unprod_binary64
associate-/l*_binary64
sinh-def_binary64
pow-prod-down_binary64 add-log-exp_binary64 sqrt-div_binary64 associate-*r/_binary64 associate-*l*_binary64
div-exp_binary64 cbrt-undiv_binary64 associate-/r*_binary64
div-inv_binary64 *-commutative_binary64 unswap-sqr_binary64
frac-times_binary64 associate-*l/_binary64 frac-2neg_binary64 clear-num_binary64 associate-/l/_binary64
Counts
4 → 115
Calls

4 calls:

11.0ms
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
5.0ms
(*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))
4.0ms
(/.f64 (sqrt.f64 (sinh.f64 y)) y)
1.0ms
(sinh.f64 y)
Compiler

Compiled 2060 to 381 computations (81.5% saved)

series111.0ms (2.1%)

Error
0b
Counts
4 → 22
Calls

4 calls:

40.0ms
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
33.0ms
(*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))
15.0ms
(/.f64 (sqrt.f64 (sinh.f64 y)) y)
12.0ms
(sinh.f64 y)
Compiler

Compiled 1022 to 724 computations (29.2% saved)

simplify116.0ms (2.1%)

Algorithm
egg-herbie
Rules
662×associate-/l*_binary64
490×associate-*l/_binary64
484×associate-*r/_binary64
459×times-frac_binary64
262×associate-*l*_binary64
196×associate-/r*_binary64
195×associate-*r*_binary64
167×associate-/l/_binary64
140×*-commutative_binary64
112×associate-/r/_binary64
67×log-prod_binary64
66×log-div_binary64
64×exp-prod_binary64
46×*-lft-identity_binary64
32×distribute-rgt-neg-in_binary64
30×*-rgt-identity_binary64 sqr-pow_binary64
28×cancel-sign-sub-inv_binary64
27×distribute-rgt-in_binary64
26×distribute-lft-in_binary64
25×sub-neg_binary64
24×distribute-lft-neg-in_binary64
19×+-commutative_binary64
17×div-sub_binary64 swap-sqr_binary64
16×neg-sub0_binary64 distribute-rgt-out_binary64
15×associate-+l+_binary64
14×neg-mul-1_binary64
13×cube-prod_binary64 distribute-neg-frac_binary64
12×associate-+r+_binary64
11×distribute-lft-out_binary64
10×log-rec_binary64 unpow3_binary64 unswap-sqr_binary64
cube-unmult_binary64 /-rgt-identity_binary64
cube-div_binary64
distribute-lft-neg-out_binary64 distribute-lft-out--_binary64
distribute-rgt-out--_binary64
pow-plus_binary64 exp-sqrt_binary64 pow-sqr_binary64
unpow1/2_binary64 exp-sum_binary64 rem-sqrt-square_binary64 mul-1-neg_binary64 distribute-rgt1-in_binary64 associate-+r-_binary64
log-pow_binary64 exp-diff_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64
sinh-def_binary64 unpow2_binary64 unpow1_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 cube-mult_binary64 rem-square-sqrt_binary64 distribute-lft1-in_binary64 count-2_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 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 div-exp_binary64 rec-exp_binary64 prod-exp_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 unsub-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-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-frac-neg_binary64 distribute-neg-out_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64
Counts
137 → 73
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01992326
14552157
215692143
348142143
449582143

prune26.0ms (0.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New73073
Fresh011
Picked011
Done033
Total73578
Error
0b
Counts
78 → 5
Compiler

Compiled 769 to 197 computations (74.4% saved)

regimes331.0ms (6.1%)

Accuracy

Total 0.1b remaining (87.1%)

Threshold costs 0.1b (87.1%)

Compiler

Compiled 3099 to 2498 computations (19.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
11116
21116

end1.0ms (0%)

Compiler

Compiled 10 to 9 computations (10% saved)

sample2.4s (43.6%)

Algorithm
intervals
Results
465.0ms1982×body1024valid
437.0ms1996×body1024invalid
270.0ms4543×body128valid
158.0ms993×body512valid
150.0ms2637×body128invalid
150.0ms992×body512invalid
55.0ms475×body256valid
54.0ms512×body256invalid
3.0msbody2048valid
Compiler

Compiled 78 to 72 computations (7.7% saved)

Profiling

Loading profile data...