Details

Time bar (total: 4.3s)

analyze441.0ms (10.2%)

Algorithm
search
egg-herbie
Rules
614×div-sub_binary64
532×associate-/r*_binary64
522×associate-*l/_binary64
394×associate-/l/_binary64
384×associate-/r/_binary64
216×cancel-sign-sub-inv_binary64
194×distribute-rgt-in_binary64
190×associate-/l*_binary64
184×times-frac_binary64
160×neg-mul-1_binary64
152×neg-sub0_binary64
138×distribute-neg-frac_binary64
124×associate-*r*_binary64
120×distribute-rgt-neg-in_binary64
114×distribute-lft-in_binary64
110×distribute-lft-neg-in_binary64 associate-*l*_binary64
102×associate-*r/_binary64
82×sub-neg_binary64
80×*-commutative_binary64
70×unsub-neg_binary64
68×distribute-frac-neg_binary64 distribute-rgt-neg-out_binary64
50×distribute-lft-neg-out_binary64
24×+-commutative_binary64
20×sqr-pow_binary64
18×*-lft-identity_binary64
16×*-rgt-identity_binary64 mul0-rgt_binary64
14×mul0-lft_binary64
12×distribute-neg-in_binary64 distribute-rgt-out--_binary64 associate-+l-_binary64
10×/-rgt-identity_binary64 sub0-neg_binary64 div0_binary64 pow-sqr_binary64
mul-1-neg_binary64 distribute-rgt-out_binary64
exp-diff_binary64 exp-sum_binary64 +-rgt-identity_binary64 associate--r+_binary64 associate-+r-_binary64
unpow3_binary64 exp-prod_binary64 cube-unmult_binary64 cube-prod_binary64 --rgt-identity_binary64 unswap-sqr_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-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
26722
314222
431222
571322
6205422
7430022
8497722
9494822
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
0%99.9%0.1%4
25%74.9%0.1%5
43.7%56.2%0.1%6
43.7%46.8%9.5%7
46.8%42.1%11%8
46.8%36.7%16.5%9
48.4%34%17.7%10
48.4%31%20.6%11
49.2%29.6%21.3%12
49.2%28%22.8%13
49.6%27.3%23.1%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample60.0ms (1.4%)

Algorithm
intervals
Results
13.0ms61×body1024invalid
10.0ms196×body128valid
8.0ms29×body512invalid
5.0ms19×body1024valid
4.0ms23×body512valid
2.0ms33×body128invalid
2.0ms18×body256valid
1.0ms11×body256invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify66.0ms (1.5%)

Algorithm
egg-herbie
Rules
544×times-frac_binary64
461×associate-/l*_binary64
417×div-sub_binary64
347×associate-*l*_binary64
346×cancel-sign-sub-inv_binary64
344×associate-*r*_binary64
333×unsub-neg_binary64
247×associate-/r*_binary64
232×distribute-rgt-in_binary64
231×neg-mul-1_binary64
225×associate-*l/_binary64
209×neg-sub0_binary64
196×distribute-rgt-neg-in_binary64
189×distribute-neg-frac_binary64
186×associate-/l/_binary64
178×distribute-lft-in_binary64
173×associate-/r/_binary64
164×distribute-lft-neg-in_binary64
162×associate-*r/_binary64
119×distribute-rgt-neg-out_binary64
111×distribute-lft-neg-out_binary64
91×*-commutative_binary64
89×sub-neg_binary64
66×distribute-frac-neg_binary64
43×distribute-neg-in_binary64
41×*-lft-identity_binary64
34×*-rgt-identity_binary64
22×/-rgt-identity_binary64
21×+-commutative_binary64
20×unswap-sqr_binary64
18×associate--r+_binary64
16×sqr-pow_binary64
14×associate-+l-_binary64
12×div0_binary64
11×distribute-rgt-out--_binary64
10×mul0-rgt_binary64
mul0-lft_binary64
pow-sqr_binary64
sub0-neg_binary64 associate-+r-_binary64 associate-+l+_binary64
distribute-lft-out_binary64
cube-unmult_binary64 cube-prod_binary64 distribute-rgt-out_binary64
exp-diff_binary64 mul-1-neg_binary64 +-rgt-identity_binary64 associate-+r+_binary64
exp-sum_binary64 --rgt-identity_binary64 +-lft-identity_binary64 associate--r-_binary64
unpow3_binary64 pow-plus_binary64 exp-prod_binary64 distribute-lft-out--_binary64 associate--l+_binary64
sinh-def_binary64 exp-neg_binary64 1-exp_binary64 remove-double-neg_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 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 *-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 count-2_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11611
23711
37611
416311
536811
6104611
7317211
8415011
9494311

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
15.2b
Counts
1 → 1
Compiler

Compiled 7 to 6 computations (14.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (sin.f64 x) (sinh.f64 y))
15.2b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

rewrite52.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-exp-log_binary64 add-cbrt-cube_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
pow1_binary64
times-frac_binary64 associate-/r*_binary64 associate-*l*_binary64 associate-*r*_binary64
prod-exp_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 cbrt-unprod_binary64 sinh-def_binary64 associate-*r/_binary64
frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l/_binary64 associate-/l*_binary64 pow-prod-down_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
2 → 41
Calls

2 calls:

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

Compiled 512 to 137 computations (73.2% saved)

series83.0ms (1.9%)

Error
15.2b
Counts
2 → 19
Calls

2 calls:

40.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
31.0ms
(*.f64 (sin.f64 x) (sinh.f64 y))
Compiler

Compiled 859 to 581 computations (32.4% saved)

simplify78.0ms (1.8%)

Algorithm
egg-herbie
Rules
726×times-frac_binary64
404×associate-*l*_binary64
350×associate-*l/_binary64
330×associate-*r*_binary64
284×associate-/l/_binary64
265×associate-*r/_binary64
221×associate-/r*_binary64
202×div-sub_binary64
193×associate-/r/_binary64
105×associate-/l*_binary64
93×cancel-sign-sub-inv_binary64
74×*-commutative_binary64
64×log-prod_binary64
61×log-div_binary64
60×distribute-rgt-neg-in_binary64
54×cube-prod_binary64
50×cube-div_binary64
48×distribute-lft-neg-in_binary64
42×exp-prod_binary64 sub-neg_binary64
28×*-rgt-identity_binary64 distribute-rgt-in_binary64
26×neg-sub0_binary64 +-commutative_binary64
25×distribute-neg-frac_binary64
24×neg-mul-1_binary64 sqr-pow_binary64
23×distribute-lft-in_binary64
20×distribute-rgt-out_binary64
16×*-lft-identity_binary64 associate-+l+_binary64 associate-+r+_binary64
15×exp-sum_binary64 /-rgt-identity_binary64
13×distribute-lft-out_binary64
12×distribute-lft-neg-out_binary64
11×unpow3_binary64
log-rec_binary64 distribute-rgt-out--_binary64
exp-diff_binary64 cube-unmult_binary64 cube-mult_binary64
exp-sqrt_binary64 unswap-sqr_binary64 distribute-neg-in_binary64 distribute-lft-out--_binary64 associate--l+_binary64
swap-sqr_binary64
unsub-neg_binary64 associate--r+_binary64
mul-1-neg_binary64
pow-sqr_binary64 distribute-rgt-neg-out_binary64
sinh-def_binary64 unpow1/2_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 sqr-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 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 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-sqrt-square_binary64 rem-square-sqrt_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 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
60 → 35
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01421099
1348974
21233905
34345905
45154905

prune24.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New28735
Fresh000
Picked011
Done000
Total28836
Error
0.0b
Counts
36 → 8
Compiler

Compiled 478 to 216 computations (54.8% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (sinh.f64 y) x)
0.4b
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))

rewrite60.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
23×add-sqr-sqrt_binary64
19×times-frac_binary64
18×add-cube-cbrt_binary64 *-un-lft-identity_binary64
13×associate-*l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
associate-*r*_binary64 associate-/l*_binary64 associate-/r*_binary64
div-exp_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-inv_binary64
pow-prod-down_binary64 associate-*l/_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64 sinh-def_binary64 associate-/l/_binary64
Counts
2 → 60
Calls

2 calls:

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

Compiled 824 to 202 computations (75.5% saved)

series83.0ms (1.9%)

Error
0.0b
Counts
2 → 18
Calls

2 calls:

36.0ms
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
31.0ms
(/.f64 (sinh.f64 y) x)
Compiler

Compiled 771 to 533 computations (30.9% saved)

simplify97.0ms (2.2%)

Algorithm
egg-herbie
Rules
355×associate-*l*_binary64
307×associate-*l/_binary64
300×associate-/l*_binary64
297×div-sub_binary64
267×associate-*r*_binary64
253×distribute-rgt-in_binary64
208×associate-*r/_binary64
156×*-commutative_binary64
123×cancel-sign-sub-inv_binary64
113×associate-/r*_binary64
111×associate-/r/_binary64
103×associate-/l/_binary64
101×log-prod_binary64
100×sub-neg_binary64
96×cube-prod_binary64
88×times-frac_binary64
83×log-div_binary64 distribute-rgt-neg-in_binary64
78×cube-div_binary64
65×exp-prod_binary64
54×distribute-lft-neg-in_binary64
53×*-rgt-identity_binary64
51×+-commutative_binary64
50×distribute-neg-frac_binary64
47×exp-sum_binary64 sqr-pow_binary64
46×associate-+l+_binary64
40×exp-diff_binary64 distribute-lft-neg-out_binary64
39×unpow3_binary64
38×neg-sub0_binary64
37×*-lft-identity_binary64
35×cube-mult_binary64
34×associate-+r+_binary64
32×neg-mul-1_binary64
28×distribute-rgt-neg-out_binary64
24×/-rgt-identity_binary64
23×swap-sqr_binary64 distribute-lft-out_binary64
20×unswap-sqr_binary64 distribute-lft-in_binary64
18×distribute-neg-in_binary64
15×associate-+l-_binary64
14×distribute-lft-out--_binary64
12×log-rec_binary64 cube-unmult_binary64 distribute-rgt-out--_binary64
11×associate-+r-_binary64
mul-1-neg_binary64
unsub-neg_binary64 +-rgt-identity_binary64
exp-neg_binary64 pow-sqr_binary64 associate--l-_binary64
distribute-rgt-out_binary64
remove-double-neg_binary64 distribute-frac-neg_binary64
unpow1/2_binary64 sub0-neg_binary64 remove-double-div_binary64 associate--r-_binary64 associate--r+_binary64
exp-sqrt_binary64 cancel-sign-sub_binary64
sinh-def_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 sqr-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 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 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-sqrt-square_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 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--l+_binary64
Counts
78 → 48
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01611309
13851211
29771141
329181109
445331109
549881109

prune37.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New45348
Fresh516
Picked011
Done011
Total50656
Error
0b
Counts
56 → 6
Compiler

Compiled 625 to 219 computations (65% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite62.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
23×add-sqr-sqrt_binary64
19×times-frac_binary64
18×add-cube-cbrt_binary64 *-un-lft-identity_binary64
13×associate-*r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
associate-/l*_binary64 associate-/r*_binary64 associate-*l*_binary64
div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 div-inv_binary64 prod-exp_binary64 cbrt-unprod_binary64 sinh-def_binary64 unswap-sqr_binary64
frac-2neg_binary64 clear-num_binary64 pow-prod-down_binary64 frac-times_binary64 associate-*l/_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
2 → 61
Calls

2 calls:

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

Compiled 837 to 205 computations (75.5% saved)

series60.0ms (1.4%)

Error
0b
Counts
2 → 15
Calls

2 calls:

39.0ms
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
9.0ms
(/.f64 (sin.f64 x) x)
Compiler

Compiled 563 to 399 computations (29.1% saved)

simplify100.0ms (2.3%)

Algorithm
egg-herbie
Rules
389×associate-*l/_binary64
348×associate-*r/_binary64
345×associate-/l*_binary64
337×associate-*l*_binary64
287×associate-*r*_binary64
276×cancel-sign-sub-inv_binary64
253×times-frac_binary64
220×div-sub_binary64
172×*-commutative_binary64
153×associate-/r*_binary64
126×associate-/l/_binary64
123×sub-neg_binary64
106×associate-/r/_binary64
85×log-div_binary64
72×log-prod_binary64
65×*-rgt-identity_binary64
63×exp-prod_binary64
55×*-lft-identity_binary64 sqr-pow_binary64
51×unswap-sqr_binary64
45×distribute-rgt-in_binary64
44×cube-div_binary64
43×exp-diff_binary64
42×distribute-lft-in_binary64 +-commutative_binary64
38×neg-sub0_binary64
36×unpow3_binary64 associate-+l+_binary64
34×neg-mul-1_binary64 distribute-rgt-neg-in_binary64
31×cube-prod_binary64
28×distribute-lft-neg-in_binary64
27×associate-+r+_binary64
26×/-rgt-identity_binary64
22×associate-+l-_binary64
19×swap-sqr_binary64
18×associate-+r-_binary64
16×distribute-neg-frac_binary64
13×associate--l+_binary64
12×exp-sum_binary64
11×log-rec_binary64 unsub-neg_binary64
10×cube-unmult_binary64
exp-sqrt_binary64 +-rgt-identity_binary64 associate--r+_binary64
mul-1-neg_binary64 sub0-neg_binary64 pow-sqr_binary64 distribute-lft-neg-out_binary64 distribute-lft-out--_binary64
pow-plus_binary64 cube-mult_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64
remove-double-div_binary64 distribute-neg-in_binary64
log-pow_binary64 unpow1/2_binary64 associate--l-_binary64
rec-exp_binary64 distribute-rgt-neg-out_binary64 distribute-lft-out_binary64 associate--r-_binary64
sinh-def_binary64 unpow2_binary64 unpow1_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 rem-sqrt-square_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 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 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 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 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64
Counts
76 → 50
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01531225
13621130
211031130
337311130
447841130
549361130

prune35.0ms (0.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New49150
Fresh213
Picked011
Done022
Total51556
Error
0b
Counts
56 → 5
Compiler

Compiled 628 to 195 computations (68.9% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (sinh.f64 y)))
0.6b
(cbrt.f64 (sinh.f64 y))
0.6b
(cbrt.f64 (sinh.f64 y))
0.6b
(cbrt.f64 (sinh.f64 y))

rewrite65.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×add-cube-cbrt_binary64 *-un-lft-identity_binary64
11×pow1_binary64
pow1/3_binary64
sinh-def_binary64 cbrt-div_binary64
add-exp-log_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 frac-times_binary64 associate-*l/_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
4 → 79
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (sinh.f64 y)))
1.0ms
(cbrt.f64 (sinh.f64 y))
1.0ms
(cbrt.f64 (sinh.f64 y))
1.0ms
(cbrt.f64 (sinh.f64 y))
Compiler

Compiled 1621 to 273 computations (83.2% saved)

series122.0ms (2.8%)

Error
0b
Counts
4 → 18
Calls

4 calls:

33.0ms
(*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (sinh.f64 y)))
25.0ms
(cbrt.f64 (sinh.f64 y))
25.0ms
(cbrt.f64 (sinh.f64 y))
23.0ms
(cbrt.f64 (sinh.f64 y))
Compiler

Compiled 1096 to 721 computations (34.2% saved)

simplify111.0ms (2.6%)

Algorithm
egg-herbie
Rules
485×distribute-rgt-in_binary64
432×distribute-lft-in_binary64
420×times-frac_binary64
240×associate-/r/_binary64
234×*-commutative_binary64
182×sqr-pow_binary64
176×associate-*l*_binary64
130×associate-*r*_binary64
129×unswap-sqr_binary64
109×associate-/l/_binary64
105×exp-prod_binary64
96×associate-*r/_binary64
93×associate-*l/_binary64
91×log-prod_binary64
85×distribute-rgt-neg-out_binary64
84×associate-/l*_binary64
81×distribute-lft-neg-out_binary64
74×cube-prod_binary64
66×associate-+l+_binary64
63×unsub-neg_binary64
61×swap-sqr_binary64
50×associate-+r+_binary64
44×pow-plus_binary64
42×pow-sqr_binary64
35×cube-unmult_binary64
34×div-sub_binary64
29×neg-sub0_binary64 *-rgt-identity_binary64
28×unpow3_binary64 rem-sqrt-square_binary64 neg-mul-1_binary64
27×*-lft-identity_binary64 distribute-rgt-neg-in_binary64
25×associate-/r*_binary64 +-commutative_binary64
24×distribute-lft-neg-in_binary64
19×sub-neg_binary64 cancel-sign-sub-inv_binary64
14×log-pow_binary64
13×distribute-rgt-out_binary64
12×sqr-neg_binary64 distribute-frac-neg_binary64
11×cube-mult_binary64
10×unpow1/3_binary64
unpow2_binary64 unpow1/2_binary64 distribute-neg-in_binary64 count-2_binary64
mul0-rgt_binary64 mul0-lft_binary64 distribute-neg-frac_binary64
mul-1-neg_binary64 difference-of-squares_binary64 distribute-neg-out_binary64
log-div_binary64 unpow1_binary64 cube-div_binary64
prod-exp_binary64 exp-diff_binary64 sub0-neg_binary64
exp-sum_binary64 distribute-lft-out_binary64
div-exp_binary64 rem-3cbrt-lft_binary64 div0_binary64 associate-+l-_binary64
sinh-def_binary64 exp-lft-sqr_binary64 exp-sqrt_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-square-sqrt_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 rgt-mult-inverse_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_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-E_binary64 log-rec_binary64 pow-base-0_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 rec-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 +-lft-identity_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64
Counts
97 → 60
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01021370
11891362
24181322
39901304
421381018
547191018
654281018

prune33.0ms (0.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New60060
Fresh011
Picked011
Done033
Total60565
Error
0b
Counts
65 → 5
Compiler

Compiled 753 to 222 computations (70.5% saved)

regimes548.0ms (12.7%)

Accuracy

Total 0.1b remaining (71.1%)

Threshold costs 0.1b (71.1%)

Compiler

Compiled 6338 to 3967 computations (37.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
1-exp_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 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
0914
11214
21114

end1.0ms (0%)

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample2.1s (47.7%)

Algorithm
intervals
Results
558.0ms6346×body128valid
399.0ms1887×body1024invalid
147.0ms934×body512invalid
144.0ms560×body1024valid
120.0ms706×body512valid
58.0ms505×body256invalid
45.0ms744×body128invalid
41.0ms387×body256valid
0.0msbody2048valid
Compiler

Compiled 90 to 68 computations (24.4% saved)

Profiling

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