Details

Time bar (total: 4.7s)

analyze608.0ms (13%)

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)

sample73.0ms (1.6%)

Algorithm
intervals
Results
18.0ms75×body1024invalid
13.0ms61×body1024valid
7.0ms136×body128valid
6.0ms38×body512invalid
5.0ms34×body512valid
4.0ms87×body128invalid
2.0ms25×body256valid
1.0ms15×body256invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify61.0ms (1.3%)

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

rewrite65.0ms (1.4%)

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 associate-*l*_binary64
div-exp_binary64 cbrt-undiv_binary64 div-inv_binary64 sinh-def_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64
frac-2neg_binary64 clear-num_binary64 associate-/l/_binary64 pow-prod-down_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
3 → 68
Calls

3 calls:

7.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms
(/.f64 (sinh.f64 y) y)
1.0ms
(sinh.f64 y)
Compiler

Compiled 915 to 229 computations (75% saved)

series102.0ms (2.2%)

Error
0.0b
Counts
3 → 22
Calls

3 calls:

47.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
18.0ms
(/.f64 (sinh.f64 y) y)
16.0ms
(sinh.f64 y)
Compiler

Compiled 884 to 644 computations (27.1% saved)

simplify85.0ms (1.8%)

Algorithm
egg-herbie
Rules
507×associate-*r*_binary64
361×associate-/l*_binary64
321×times-frac_binary64
294×div-sub_binary64
289×associate-*r/_binary64
277×associate-*l/_binary64
230×*-commutative_binary64
187×associate-/r*_binary64
134×associate-/l/_binary64 associate-/r/_binary64
110×associate-*l*_binary64
81×associate-+l+_binary64
78×+-commutative_binary64
59×log-prod_binary64 exp-prod_binary64
48×associate-+r+_binary64
46×cube-prod_binary64
45×log-div_binary64 cancel-sign-sub-inv_binary64
42×cube-div_binary64 sub-neg_binary64
41×distribute-rgt-neg-in_binary64
37×distribute-rgt-in_binary64
35×distribute-neg-frac_binary64
33×distribute-lft-in_binary64
30×sqr-pow_binary64
29×distribute-lft-neg-in_binary64
27×neg-sub0_binary64
26×*-rgt-identity_binary64
23×neg-mul-1_binary64 *-lft-identity_binary64
19×associate-+l-_binary64
15×exp-sum_binary64 unswap-sqr_binary64 associate-+r-_binary64
13×distribute-rgt-out_binary64
12×exp-diff_binary64
10×associate--r+_binary64
distribute-lft-neg-out_binary64
unpow3_binary64 cube-unmult_binary64 /-rgt-identity_binary64 distribute-neg-in_binary64 associate--l+_binary64
distribute-rgt-out--_binary64 distribute-lft-out--_binary64
cube-mult_binary64 mul-1-neg_binary64 swap-sqr_binary64 associate--l-_binary64
exp-sqrt_binary64
log-rec_binary64 pow-plus_binary64
unsub-neg_binary64 distribute-rgt1-in_binary64 distribute-lft-out_binary64 associate--r-_binary64
log-pow_binary64 unpow1/2_binary64 pow-sqr_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
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 count-2_binary64
Counts
90 → 43
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01791404
14351300
213251217
339791217
449631217

prune25.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40343
Fresh000
Picked011
Done000
Total40444
Error
0.0b
Counts
44 → 4
Compiler

Compiled 506 to 226 computations (55.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.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 (2.5%)

Algorithm
rewrite-expression-head
Error
0.0b
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
distribute-rgt-in_binary64 distribute-lft-in_binary64 flip3-+_binary64 associate-*r/_binary64 flip-+_binary64 sqr-pow_binary64 associate-+r+_binary64
pow-to-exp_binary64 pow-exp_binary64 sum-log_binary64 +-commutative_binary64
Counts
4 → 79
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 1/6 (*.f64 y y))
5.0ms
(*.f64 1/120 (pow.f64 y 4))
4.0ms
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/120 (pow.f64 y 4)))))
Compiler

Compiled 1944 to 1143 computations (41.2% saved)

series178.0ms (3.8%)

Error
0.0b
Counts
4 → 31
Calls

4 calls:

86.0ms
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/120 (pow.f64 y 4)))))
53.0ms
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/120 (pow.f64 y 4))))
9.0ms
(*.f64 1/120 (pow.f64 y 4))
8.0ms
(*.f64 1/6 (*.f64 y y))
Compiler

Compiled 1458 to 1127 computations (22.7% saved)

simplify85.0ms (1.8%)

Algorithm
egg-herbie
Rules
598×distribute-rgt-in_binary64
572×distribute-lft-in_binary64
483×cancel-sign-sub-inv_binary64
257×associate-*r*_binary64
239×associate-*l*_binary64
151×distribute-rgt-neg-in_binary64
140×distribute-rgt-out_binary64
131×distribute-lft-neg-in_binary64
127×*-commutative_binary64
121×sub-neg_binary64
87×unswap-sqr_binary64
74×distribute-neg-in_binary64
69×+-commutative_binary64
57×exp-prod_binary64
56×sqr-pow_binary64
48×distribute-lft-out_binary64 associate-+r+_binary64
41×distribute-rgt-out--_binary64
40×associate-+l+_binary64
39×associate--r+_binary64
32×neg-mul-1_binary64 neg-sub0_binary64 associate--l+_binary64
28×log-prod_binary64
27×cube-prod_binary64
22×swap-sqr_binary64
21×distribute-lft-neg-out_binary64
19×unsub-neg_binary64
17×*-rgt-identity_binary64 *-lft-identity_binary64
14×distribute-rgt1-in_binary64
12×exp-sum_binary64
10×unpow3_binary64
distribute-lft-out--_binary64
distribute-rgt-neg-out_binary64
pow-plus_binary64 cube-mult_binary64
pow-sqr_binary64
log-pow_binary64 unpow2_binary64 unpow1_binary64
rem-sqrt-square_binary64 difference-of-squares_binary64
unpow1/2_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 cube-unmult_binary64 rem-square-sqrt_binary64 distribute-lft1-in_binary64 count-2_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 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 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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--r-_binary64 associate--l-_binary64
Counts
110 → 74
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02112276
15372162
219762096
350702096

prune58.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh022
Picked011
Done011
Total74478
Error
0.0b
Counts
78 → 4
Compiler

Compiled 1238 to 765 computations (38.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(sinh.f64 y)
0.0b
(sinh.f64 y)
0.1b
(/.f64 (sqrt.f64 (sinh.f64 y)) y)
0.2b
(*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sqrt.f64 (sinh.f64 y)) y))

rewrite82.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
50×add-sqr-sqrt_binary64
40×times-frac_binary64
34×add-cube-cbrt_binary64 *-un-lft-identity_binary64
29×sqrt-prod_binary64
22×associate-*r*_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64 unswap-sqr_binary64 associate-*l*_binary64 associate-/l*_binary64
sinh-def_binary64
add-log-exp_binary64
sqrt-div_binary64 associate-/r*_binary64
div-exp_binary64 prod-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 div-inv_binary64
pow-prod-down_binary64 frac-times_binary64 associate-*l/_binary64 associate-*r/_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64 associate-/l/_binary64
Counts
4 → 106
Calls

4 calls:

12.0ms
(*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
6.0ms
(/.f64 (sqrt.f64 (sinh.f64 y)) y)
1.0ms
(sinh.f64 y)
1.0ms
(sinh.f64 y)
Compiler

Compiled 1814 to 421 computations (76.8% saved)

series78.0ms (1.7%)

Error
0.0b
Counts
4 → 21
Calls

4 calls:

17.0ms
(/.f64 (sqrt.f64 (sinh.f64 y)) y)
16.0ms
(*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
15.0ms
(sinh.f64 y)
14.0ms
(sinh.f64 y)
Compiler

Compiled 884 to 652 computations (26.2% saved)

simplify152.0ms (3.2%)

Algorithm
egg-herbie
Rules
398×associate-/l*_binary64
371×times-frac_binary64
280×associate-*l*_binary64
263×associate-*l/_binary64
236×associate-*r*_binary64
230×associate-/l/_binary64
224×associate-*r/_binary64
186×unswap-sqr_binary64
180×div-sub_binary64
136×distribute-rgt-in_binary64
132×associate-/r*_binary64
128×distribute-lft-in_binary64
107×log-prod_binary64
105×log-div_binary64
103×exp-prod_binary64
102×*-commutative_binary64
89×cube-prod_binary64
88×cube-div_binary64
74×associate-/r/_binary64
60×sqr-pow_binary64
58×sub-neg_binary64
57×cancel-sign-sub-inv_binary64
50×*-lft-identity_binary64 associate-+l+_binary64
47×+-commutative_binary64
45×remove-double-div_binary64
44×distribute-lft-out_binary64
42×swap-sqr_binary64
41×distribute-rgt-neg-in_binary64
36×*-rgt-identity_binary64
34×distribute-rgt-out_binary64
31×distribute-lft-neg-in_binary64
29×/-rgt-identity_binary64
28×unpow3_binary64
27×associate-+r+_binary64
25×log-rec_binary64
24×distribute-neg-frac_binary64
22×exp-sum_binary64 neg-sub0_binary64
21×neg-mul-1_binary64
19×exp-diff_binary64 cube-mult_binary64
18×cube-unmult_binary64
16×pow-plus_binary64
13×distribute-neg-in_binary64
10×pow-sqr_binary64 associate-+l-_binary64
log-pow_binary64
exp-sqrt_binary64 distribute-lft-neg-out_binary64 associate-+r-_binary64
rem-sqrt-square_binary64 unsub-neg_binary64
+-rgt-identity_binary64 distribute-rgt-neg-out_binary64
unpow1/2_binary64 mul-1-neg_binary64 distribute-neg-out_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--l-_binary64 associate--l+_binary64
associate--r+_binary64
unpow2_binary64 rem-square-sqrt_binary64 distribute-frac-neg_binary64 associate--r-_binary64
sinh-def_binary64 unpow1_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 remove-double-neg_binary64 sub0-neg_binary64 +-inverses_binary64 distribute-rgt1-in_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 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 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-lft1-in_binary64
Counts
127 → 70
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01571997
13291785
29591753
330031753
446031753
549751753
649281753

prune34.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New70070
Fresh011
Picked011
Done022
Total70474
Error
0.0b
Counts
74 → 4
Compiler

Compiled 857 to 295 computations (65.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(sinh.f64 y)
0.1b
(/.f64 (sin.f64 x) (sqrt.f64 y))
0.2b
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
0.3b
(/.f64 (sinh.f64 y) (sqrt.f64 y))

rewrite113.0ms (2.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
90×add-sqr-sqrt_binary64
84×times-frac_binary64
60×add-cube-cbrt_binary64 *-un-lft-identity_binary64
48×sqrt-prod_binary64
22×associate-*l*_binary64 associate-*r*_binary64
20×add-exp-log_binary64 add-cbrt-cube_binary64
12×associate-/r*_binary64
unswap-sqr_binary64
pow1_binary64 div-exp_binary64 cbrt-undiv_binary64 associate-/l*_binary64
add-log-exp_binary64 div-inv_binary64 prod-exp_binary64 cbrt-unprod_binary64
frac-2neg_binary64 clear-num_binary64 sinh-def_binary64
associate-/l/_binary64 pow-prod-down_binary64 frac-times_binary64 associate-*l/_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
4 → 160
Calls

4 calls:

19.0ms
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
4.0ms
(/.f64 (sin.f64 x) (sqrt.f64 y))
4.0ms
(/.f64 (sinh.f64 y) (sqrt.f64 y))
1.0ms
(sinh.f64 y)
Compiler

Compiled 2720 to 498 computations (81.7% saved)

series107.0ms (2.3%)

Error
0.0b
Counts
4 → 28
Calls

4 calls:

42.0ms
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
26.0ms
(/.f64 (sin.f64 x) (sqrt.f64 y))
12.0ms
(/.f64 (sinh.f64 y) (sqrt.f64 y))
12.0ms
(sinh.f64 y)
Compiler

Compiled 1274 to 908 computations (28.7% saved)

simplify164.0ms (3.5%)

Algorithm
egg-herbie
Rules
497×associate-/l/_binary64
439×times-frac_binary64
310×associate-/r*_binary64
271×associate-/r/_binary64
263×div-sub_binary64
187×associate-*r/_binary64
177×associate-*l/_binary64
164×associate-/l*_binary64
160×*-commutative_binary64
132×cancel-sign-sub-inv_binary64
130×associate-*r*_binary64
129×associate-*l*_binary64
76×distribute-rgt-neg-in_binary64
68×distribute-lft-neg-in_binary64
61×distribute-rgt-in_binary64
60×sub-neg_binary64
58×log-div_binary64
56×distribute-lft-in_binary64
50×log-prod_binary64 cube-div_binary64
44×cube-prod_binary64
41×sqr-pow_binary64
39×exp-prod_binary64 distribute-neg-frac_binary64
38×+-commutative_binary64
32×neg-mul-1_binary64 neg-sub0_binary64
30×*-rgt-identity_binary64
23×*-lft-identity_binary64 unswap-sqr_binary64
22×associate-+l+_binary64
20×distribute-rgt-out_binary64 distribute-lft-out--_binary64
19×associate-+r+_binary64
13×unpow3_binary64 /-rgt-identity_binary64 swap-sqr_binary64
12×exp-sum_binary64 cube-mult_binary64 distribute-rgt-out--_binary64 distribute-lft-out_binary64
10×cube-unmult_binary64 distribute-neg-in_binary64 associate--l+_binary64
distribute-lft-neg-out_binary64 associate--r+_binary64
exp-diff_binary64
unsub-neg_binary64
exp-sqrt_binary64
pow-plus_binary64 rem-sqrt-square_binary64 associate-+l-_binary64
unpow1/2_binary64 pow-sqr_binary64 distribute-rgt1-in_binary64 associate-+r-_binary64
log-pow_binary64 unpow2_binary64 unpow1_binary64 rem-square-sqrt_binary64 distribute-rgt-neg-out_binary64
sinh-def_binary64 log-rec_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_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 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 mul-1-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 count-2_binary64 associate--l-_binary64
Counts
188 → 123
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02693846
16973405
221573335
346543263
454573263

prune47.0ms (1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1230123
Fresh000
Picked011
Done033
Total1234127
Error
0.0b
Counts
127 → 4
Compiler

Compiled 1520 to 386 computations (74.6% saved)

regimes222.0ms (4.7%)

Accuracy

Total 0.0b remaining (52%)

Threshold costs 0.0b (52%)

Compiler

Compiled 1879 to 1461 computations (22.2% 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
0923
11023
21023

end1.0ms (0%)

Compiler

Compiled 14 to 8 computations (42.9% saved)

sample2.2s (46.8%)

Algorithm
intervals
Results
432.0ms1965×body1024valid
390.0ms1974×body1024invalid
236.0ms4460×body128valid
151.0ms1006×body512invalid
147.0ms1051×body512valid
140.0ms2550×body128invalid
51.0ms520×body256valid
51.0ms527×body256invalid
2.0msbody2048valid
Compiler

Compiled 72 to 61 computations (15.3% saved)

Profiling

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