Details

Time bar (total: 4.3s)

analyze610.0ms (14.1%)

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)

sample51.0ms (1.2%)

Algorithm
intervals
Results
13.0ms69×body1024invalid
9.0ms205×body128valid
4.0ms28×body512invalid
3.0ms15×body1024valid
3.0ms21×body512valid
1.0ms27×body128invalid
1.0ms15×body256valid
1.0ms12×body256invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify63.0ms (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
14.1b
Counts
1 → 1
Compiler

Compiled 7 to 6 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(sinh.f64 y)
0.1b
(*.f64 (sin.f64 x) (sinh.f64 y))
14.0b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

rewrite67.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
10×add-exp-log_binary64 add-cbrt-cube_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
pow1_binary64
add-log-exp_binary64 times-frac_binary64 sinh-def_binary64 associate-/r*_binary64 associate-*l*_binary64 associate-*r*_binary64
prod-exp_binary64 div-exp_binary64 cbrt-undiv_binary64 cbrt-unprod_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
3 → 49
Calls

3 calls:

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

Compiled 603 to 165 computations (72.6% saved)

series116.0ms (2.7%)

Error
14.1b
Counts
3 → 27
Calls

3 calls:

45.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
34.0ms
(*.f64 (sin.f64 x) (sinh.f64 y))
13.0ms
(sinh.f64 y)
Compiler

Compiled 1246 to 851 computations (31.7% saved)

simplify90.0ms (2.1%)

Algorithm
egg-herbie
Rules
972×times-frac_binary64
359×associate-*l/_binary64
276×associate-/l/_binary64
253×associate-/r*_binary64
196×div-sub_binary64
193×associate-/r/_binary64
168×cancel-sign-sub-inv_binary64
120×associate-*r*_binary64
110×associate-*l*_binary64
105×associate-/l*_binary64
93×*-commutative_binary64
77×log-prod_binary64
74×sub-neg_binary64
72×distribute-rgt-neg-in_binary64
68×cube-prod_binary64
66×log-div_binary64
58×exp-prod_binary64 distribute-lft-neg-in_binary64
55×cube-div_binary64
48×+-commutative_binary64
47×associate-*r/_binary64
38×distribute-rgt-in_binary64
32×neg-sub0_binary64
31×*-rgt-identity_binary64 associate-+l+_binary64
30×neg-mul-1_binary64
29×sqr-pow_binary64 associate-+r+_binary64
25×distribute-neg-frac_binary64 distribute-lft-in_binary64
24×distribute-rgt-out_binary64
18×*-lft-identity_binary64 distribute-neg-in_binary64 associate--l+_binary64
16×associate--r+_binary64
15×/-rgt-identity_binary64
14×unswap-sqr_binary64 distribute-lft-neg-out_binary64
13×unpow3_binary64
12×exp-sum_binary64 unsub-neg_binary64
11×distribute-rgt-out--_binary64
10×log-rec_binary64
cube-mult_binary64
exp-diff_binary64
exp-sqrt_binary64 distribute-lft-out--_binary64
cube-unmult_binary64 swap-sqr_binary64 distribute-lft-out_binary64
mul-1-neg_binary64
log-pow_binary64 unpow1/2_binary64 pow-sqr_binary64 distribute-rgt-neg-out_binary64
sinh-def_binary64 unpow2_binary64 pow-plus_binary64 unpow1_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 rem-sqrt-square_binary64 distribute-rgt1-in_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same 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 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-lft1-in_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
76 → 41
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01721367
14311226
214801151
344351151
452511151

prune37.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New34741
Fresh000
Picked011
Done000
Total34842
Error
0.0b
Counts
42 → 8
Compiler

Compiled 624 to 298 computations (52.2% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite72.0ms (1.7%)

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-*l*_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
add-log-exp_binary64 associate-*r*_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-*l/_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64 associate-/l/_binary64
Counts
3 → 68
Calls

3 calls:

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

Compiled 915 to 230 computations (74.9% saved)

series120.0ms (2.8%)

Error
0.0b
Counts
3 → 26
Calls

3 calls:

50.0ms
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
31.0ms
(/.f64 (sinh.f64 y) x)
12.0ms
(sinh.f64 y)
Compiler

Compiled 1158 to 803 computations (30.7% saved)

simplify89.0ms (2.1%)

Algorithm
egg-herbie
Rules
439×associate-*l*_binary64
349×associate-/l*_binary64
336×associate-*r*_binary64
322×div-sub_binary64
314×associate-*l/_binary64
271×times-frac_binary64
215×associate-*r/_binary64
195×*-commutative_binary64
175×associate-/r*_binary64
111×associate-/r/_binary64
100×cancel-sign-sub-inv_binary64 +-commutative_binary64
99×associate-/l/_binary64 associate-+l+_binary64
69×associate-+r+_binary64
64×sub-neg_binary64
61×log-prod_binary64
54×associate--l+_binary64
52×associate--r+_binary64
51×cube-prod_binary64
48×log-div_binary64
46×exp-prod_binary64
44×cube-div_binary64 distribute-rgt-neg-in_binary64
34×distribute-lft-neg-in_binary64
33×neg-sub0_binary64
30×distribute-rgt-in_binary64
29×neg-mul-1_binary64
28×associate-+l-_binary64
27×sqr-pow_binary64
23×distribute-neg-frac_binary64
22×distribute-lft-in_binary64 associate-+r-_binary64
19×distribute-neg-in_binary64
14×*-rgt-identity_binary64
12×exp-diff_binary64 exp-sum_binary64
11×distribute-rgt-out_binary64
10×unswap-sqr_binary64
cube-unmult_binary64 unsub-neg_binary64 *-lft-identity_binary64 swap-sqr_binary64 distribute-lft-neg-out_binary64 associate--l-_binary64
unpow3_binary64 distribute-lft-out--_binary64
exp-sqrt_binary64 cube-mult_binary64 mul-1-neg_binary64 distribute-rgt-out--_binary64
/-rgt-identity_binary64 distribute-lft-out_binary64
log-rec_binary64
associate--r-_binary64
log-pow_binary64 unpow1/2_binary64 pow-plus_binary64 pow-sqr_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-rgt-neg-out_binary64 distribute-rgt1-in_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same 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 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-lft1-in_binary64 count-2_binary64
Counts
94 → 53
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01921575
14671463
212381377
341541377
452111377

prune47.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New50353
Fresh426
Picked101
Done011
Total55661
Error
0.0b
Counts
61 → 6
Compiler

Compiled 746 to 290 computations (61.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite76.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
24×add-sqr-sqrt_binary64
19×add-cube-cbrt_binary64 times-frac_binary64 *-un-lft-identity_binary64
13×associate-*r*_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
add-log-exp_binary64 associate-/l*_binary64 associate-/r*_binary64 sinh-def_binary64 associate-*l*_binary64
div-exp_binary64 cbrt-undiv_binary64 div-inv_binary64 prod-exp_binary64 cbrt-unprod_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
3 → 69
Calls

3 calls:

8.0ms
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
4.0ms
(/.f64 (sin.f64 x) x)
1.0ms
(sinh.f64 y)
Compiler

Compiled 928 to 225 computations (75.8% saved)

series92.0ms (2.1%)

Error
0.0b
Counts
3 → 23
Calls

3 calls:

51.0ms
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
12.0ms
(sinh.f64 y)
10.0ms
(/.f64 (sin.f64 x) x)
Compiler

Compiled 956 to 665 computations (30.4% saved)

simplify124.0ms (2.9%)

Algorithm
egg-herbie
Rules
428×associate-*l*_binary64
397×associate-*l/_binary64
355×associate-*r/_binary64
353×associate-*r*_binary64
350×associate-/l*_binary64
253×times-frac_binary64
153×associate-/r*_binary64
138×div-sub_binary64
135×cancel-sign-sub-inv_binary64
122×associate-/l/_binary64
106×associate-/r/_binary64
90×*-commutative_binary64
87×log-div_binary64
70×sub-neg_binary64
58×neg-sub0_binary64
53×neg-mul-1_binary64 distribute-rgt-in_binary64
47×distribute-rgt-neg-in_binary64
44×cube-div_binary64 distribute-lft-in_binary64
43×+-commutative_binary64
39×log-prod_binary64 distribute-lft-neg-in_binary64
32×exp-prod_binary64
30×sqr-pow_binary64
29×cube-prod_binary64
28×*-rgt-identity_binary64
24×associate-+l+_binary64
20×associate-+r+_binary64
19×*-lft-identity_binary64
18×associate--l+_binary64
16×distribute-neg-frac_binary64 distribute-neg-in_binary64 associate--r+_binary64
13×distribute-rgt-out_binary64
12×unsub-neg_binary64
11×log-rec_binary64 exp-sum_binary64
10×cube-unmult_binary64 unswap-sqr_binary64
distribute-lft-neg-out_binary64
unpow3_binary64 exp-sqrt_binary64
distribute-rgt-out--_binary64 distribute-lft-out--_binary64
exp-diff_binary64 /-rgt-identity_binary64 swap-sqr_binary64 distribute-lft-out_binary64
cube-mult_binary64
log-pow_binary64 mul-1-neg_binary64
unpow1/2_binary64 pow-plus_binary64 pow-sqr_binary64 distribute-rgt-neg-out_binary64
sinh-def_binary64 unpow2_binary64 unpow1_binary64 rec-exp_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 rem-sqrt-square_binary64 distribute-rgt1-in_binary64 associate-+l-_binary64 associate-+r-_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 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 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-lft1-in_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64
Counts
92 → 56
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01821491
14391382
213541366
343711366
449851366
549661366

prune45.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New55156
Fresh134
Picked011
Done011
Total56662
Error
0.0b
Counts
62 → 6
Compiler

Compiled 773 to 278 computations (64% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (sin.f64 x))
0.6b
(cbrt.f64 (sin.f64 x))
0.6b
(cbrt.f64 (sin.f64 x))
14.0b
(/.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x)))) x)

rewrite62.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
22×add-exp-log_binary64
16×add-cbrt-cube_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 cbrt-prod_binary64
prod-exp_binary64 cbrt-unprod_binary64
div-exp_binary64 cbrt-undiv_binary64
pow1_binary64 add-log-exp_binary64
times-frac_binary64 associate-/r*_binary64 pow1/3_binary64
frac-2neg_binary64 clear-num_binary64 div-inv_binary64 sinh-def_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-/l/_binary64 associate-/l*_binary64
Counts
4 → 61
Calls

4 calls:

12.0ms
(/.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x)))) x)
1.0ms
(cbrt.f64 (sin.f64 x))
1.0ms
(cbrt.f64 (sin.f64 x))
1.0ms
(cbrt.f64 (sin.f64 x))
Compiler

Compiled 1419 to 254 computations (82.1% saved)

series127.0ms (2.9%)

Error
0.0b
Counts
4 → 29
Calls

4 calls:

48.0ms
(/.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x)))) x)
21.0ms
(cbrt.f64 (sin.f64 x))
19.0ms
(cbrt.f64 (sin.f64 x))
19.0ms
(cbrt.f64 (sin.f64 x))
Compiler

Compiled 1543 to 1005 computations (34.9% saved)

simplify99.0ms (2.3%)

Algorithm
egg-herbie
Rules
671×associate-/r*_binary64
501×associate-/l/_binary64
451×associate-/r/_binary64
155×associate-*r*_binary64
152×cancel-sign-sub-inv_binary64
151×associate-*l*_binary64
138×associate-/l*_binary64
130×log-div_binary64
116×unswap-sqr_binary64
105×log-prod_binary64
86×times-frac_binary64
84×sub-neg_binary64
83×distribute-rgt-neg-in_binary64
78×*-commutative_binary64
74×distribute-lft-neg-in_binary64
56×associate-*l/_binary64
51×associate-*r/_binary64
49×sqr-pow_binary64
37×neg-sub0_binary64
36×distribute-rgt-in_binary64 +-commutative_binary64
35×neg-mul-1_binary64
31×distribute-neg-frac_binary64
26×distribute-neg-in_binary64
25×associate-+l+_binary64
24×cube-div_binary64
23×distribute-lft-in_binary64
21×associate--l+_binary64
19×associate--r+_binary64 associate-+r+_binary64
17×div-sub_binary64
16×unsub-neg_binary64
13×cube-prod_binary64 *-rgt-identity_binary64 distribute-rgt-out_binary64
12×swap-sqr_binary64
10×distribute-lft-neg-out_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64
cube-unmult_binary64
log-pow_binary64
log-rec_binary64
exp-prod_binary64 distribute-lft-out_binary64
unpow1/3_binary64 pow-plus_binary64 *-lft-identity_binary64
rem-sqrt-square_binary64 pow-sqr_binary64
mul-1-neg_binary64 /-rgt-identity_binary64
distribute-rgt-neg-out_binary64 count-2_binary64
sinh-def_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 unpow1_binary64 exp-neg_binary64 exp-sum_binary64 1-exp_binary64 cube-mult_binary64 rem-3cbrt-lft_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 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 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_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 +-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 associate--r-_binary64 associate--l-_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
90 → 59
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01792052
14661281
217451265
348071265
449921265

prune31.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New59059
Fresh033
Picked011
Done022
Total59665
Error
0.0b
Counts
65 → 6
Compiler

Compiled 778 to 322 computations (58.6% saved)

regimes466.0ms (10.8%)

Accuracy

Total 0.1b remaining (63.7%)

Threshold costs 0.1b (63.7%)

Compiler

Compiled 4962 to 3363 computations (32.2% 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
0711
1811
2811

end1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample1.8s (41.7%)

Algorithm
intervals
Results
393.0ms2005×body1024invalid
325.0ms6317×body128valid
151.0ms1026×body512invalid
134.0ms586×body1024valid
93.0ms643×body512valid
53.0ms847×body128invalid
49.0ms453×body256valid
46.0ms472×body256invalid
0.0msbody2048valid
Compiler

Compiled 97 to 75 computations (22.7% saved)

Profiling

Loading profile data...