Details

Time bar (total: 3.8s)

analyze321.0ms (8.4%)

Algorithm
search
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 (1.3%)

Algorithm
intervals
Results
11.0ms54×body1024invalid
9.0ms192×body128valid
7.0ms26×body512valid
6.0ms27×body1024valid
3.0ms22×body512invalid
2.0ms16×body256invalid
1.0ms24×body128invalid
1.0ms11×body256valid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify150.0ms (4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
0494311
1494311

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
13.0b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(sinh.f64 y)
0.1b
(*.f64 (sin.f64 x) (sinh.f64 y))
13.0b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

rewrite16.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube_binary64_13754 add-exp-log_binary64_13756
add-sqr-sqrt_binary64_13740
*-un-lft-identity_binary64_13718 add-cube-cbrt_binary64_13753
pow1_binary64_13779
associate-/r*_binary64_13662 add-log-exp_binary64_13757 times-frac_binary64_13724 associate-*l*_binary64_13659 sinh-def_binary64_13903 associate-*r*_binary64_13658
associate-*r/_binary64_13660 prod-exp_binary64_13767 div-exp_binary64_13769 cbrt-unprod_binary64_13751 cbrt-undiv_binary64_13752
frac-2neg_binary64_13729 *-commutative_binary64_13649 unswap-sqr_binary64_13686 pow-prod-down_binary64_13789 associate-/l*_binary64_13663 clear-num_binary64_13717 div-inv_binary64_13715 associate-/l/_binary64_13665
Counts
3 → 49
Calls

3 calls:

7.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
5.0ms
(*.f64 (sin.f64 x) (sinh.f64 y))
1.0ms
(sinh.f64 y)

series214.0ms (5.6%)

Counts
3 → 9
Calls

3 calls:

100.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
78.0ms
(*.f64 (sin.f64 x) (sinh.f64 y))
36.0ms
(sinh.f64 y)

simplify58.0ms (1.5%)

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05717673

prune49.0ms (1.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New49958
Fresh000
Picked101
Done000
Total50959
Error
0b
Counts
59 → 9
Compiler

Compiled 766 to 266 computations (65.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite14.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64_13740
13×associate-*r*_binary64_13658
10×times-frac_binary64_13724 *-un-lft-identity_binary64_13718 add-cube-cbrt_binary64_13753
add-cbrt-cube_binary64_13754 add-exp-log_binary64_13756
pow1_binary64_13779
associate-*l*_binary64_13659
add-log-exp_binary64_13757 prod-exp_binary64_13767 unswap-sqr_binary64_13686 cbrt-unprod_binary64_13751
associate-*r/_binary64_13660 *-commutative_binary64_13649 pow-prod-down_binary64_13789 sinh-def_binary64_13903 div-exp_binary64_13769 cbrt-undiv_binary64_13752 div-inv_binary64_13715
Counts
2 → 40
Calls

2 calls:

10.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
1.0ms
(sinh.f64 y)

series130.0ms (3.4%)

Counts
2 → 6
Calls

2 calls:

94.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
36.0ms
(sinh.f64 y)

simplify66.0ms (1.7%)

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05755622

prune36.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New45146
Fresh268
Picked011
Done000
Total47855
Error
0b
Counts
55 → 8
Compiler

Compiled 669 to 215 computations (67.9% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(sinh.f64 y)
0.0b
(/.f64 x (sinh.f64 y))
0.9b
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite21.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
87×times-frac_binary64_13724
54×add-sqr-sqrt_binary64_13740 *-un-lft-identity_binary64_13718 add-cube-cbrt_binary64_13753
17×associate-/r*_binary64_13662
10×add-cbrt-cube_binary64_13754 add-exp-log_binary64_13756
associate-/r/_binary64_13664 sinh-def_binary64_13903 associate-/l*_binary64_13663 div-inv_binary64_13715
div-exp_binary64_13769 cbrt-undiv_binary64_13752
pow1_binary64_13779 add-log-exp_binary64_13757
frac-2neg_binary64_13729 clear-num_binary64_13717
Counts
3 → 110
Calls

3 calls:

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

series244.0ms (6.4%)

Counts
3 → 9
Calls

3 calls:

112.0ms
(/.f64 x (sinh.f64 y))
98.0ms
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
34.0ms
(sinh.f64 y)

simplify107.0ms (2.8%)

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
049142253
149142253

prune80.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1172119
Fresh336
Picked011
Done101
Total1216127
Error
0b
Counts
127 → 6
Compiler

Compiled 1815 to 410 computations (77.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite17.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64_13740
19×times-frac_binary64_13724 *-un-lft-identity_binary64_13718 add-cube-cbrt_binary64_13753
13×associate-*l*_binary64_13659
10×add-cbrt-cube_binary64_13754 add-exp-log_binary64_13756
pow1_binary64_13779
associate-/r*_binary64_13662 add-log-exp_binary64_13757 sinh-def_binary64_13903 associate-/l*_binary64_13663 associate-*r*_binary64_13658
prod-exp_binary64_13767 unswap-sqr_binary64_13686 div-exp_binary64_13769 cbrt-unprod_binary64_13751 cbrt-undiv_binary64_13752 div-inv_binary64_13715
associate-*r/_binary64_13660 frac-2neg_binary64_13729 *-commutative_binary64_13649 frac-times_binary64_13728 associate-*l/_binary64_13661 pow-prod-down_binary64_13789 clear-num_binary64_13717
Counts
3 → 69
Calls

3 calls:

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

series155.0ms (4.1%)

Counts
3 → 9
Calls

3 calls:

98.0ms
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
37.0ms
(sinh.f64 y)
21.0ms
(/.f64 (sin.f64 x) x)

simplify82.0ms (2.2%)

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049341001
149341001

prune45.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh044
Picked011
Done011
Total78684
Error
0b
Counts
84 → 6
Compiler

Compiled 990 to 245 computations (75.3% saved)

regimes148.0ms (3.9%)

Accuracy

Total 0.1b remaining (71.4%)

Threshold costs 0.1b (71.4%)

Compiler

Compiled 1153 to 782 computations (32.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0811
1811

end0.0ms (0%)

sample1.8s (46.5%)

Algorithm
intervals
Results
375.0ms1912×body1024invalid
306.0ms6338×body128valid
140.0ms603×body1024valid
126.0ms925×body512invalid
96.0ms641×body512valid
44.0ms464×body256invalid
43.0ms766×body128invalid
40.0ms418×body256valid
Compiler

Compiled 284 to 197 computations (30.6% saved)

Profiling

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