Details

Time bar (total: 5.1s)

analyze650.0ms (12.7%)

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)

sample54.0ms (1.1%)

Algorithm
intervals
Results
13.0ms55×body1024invalid
9.0ms194×body128valid
7.0ms24×body1024valid
5.0ms35×body512invalid
4.0ms25×body512valid
2.0ms15×body256invalid
1.0ms13×body256valid
1.0ms17×body128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify229.0ms (4.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
0493611
1493611

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.3b

Counts
2 → 1
Compiler

Compiled 14 to 12 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))
12.3b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

rewrite15.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
10×add-exp-log_binary64_6997 add-cbrt-cube_binary64_6995
add-sqr-sqrt_binary64_6981
*-un-lft-identity_binary64_6959 add-cube-cbrt_binary64_6994
pow1_binary64_7020
associate-/r*_binary64_6903 associate-*r*_binary64_6899 associate-*l*_binary64_6900 add-log-exp_binary64_6998 sinh-def_binary64_7144 times-frac_binary64_6965
associate-*r/_binary64_6901 cbrt-unprod_binary64_6992 div-exp_binary64_7010 prod-exp_binary64_7008 cbrt-undiv_binary64_6993
pow-prod-down_binary64_7030 frac-2neg_binary64_6970 associate-/l/_binary64_6906 *-commutative_binary64_6890 div-inv_binary64_6956 unswap-sqr_binary64_6927 associate-/l*_binary64_6904 clear-num_binary64_6958
Counts
3 → 49
Calls

3 calls:

6.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
5.0ms
(*.f64 (sin.f64 x) (sinh.f64 y))
1.0ms
(sinh.f64 y)

series422.0ms (8.3%)

Counts
3 → 9
Calls

3 calls:

197.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
156.0ms
(*.f64 (sin.f64 x) (sinh.f64 y))
69.0ms
(sinh.f64 y)

simplify56.0ms (1.1%)

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05565673

prune105.0ms (2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New52658
Fresh000
Picked011
Done000
Total52759

Merged error: 0b

Counts
59 → 7
Compiler

Compiled 1468 to 765 computations (47.9% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(sinh.f64 y)
0.0b
(/.f64 (sinh.f64 y) x)
0.6b
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

rewrite19.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64_6981
19×*-un-lft-identity_binary64_6959 add-cube-cbrt_binary64_6994 times-frac_binary64_6965
13×associate-*r*_binary64_6899
10×add-exp-log_binary64_6997 add-cbrt-cube_binary64_6995
pow1_binary64_7020
associate-/l*_binary64_6904 associate-/r*_binary64_6903 associate-*l*_binary64_6900 add-log-exp_binary64_6998
div-inv_binary64_6956 unswap-sqr_binary64_6927 cbrt-unprod_binary64_6992 div-exp_binary64_7010 prod-exp_binary64_7008 sinh-def_binary64_7144 cbrt-undiv_binary64_6993
associate-*r/_binary64_6901 pow-prod-down_binary64_7030 frac-2neg_binary64_6970 associate-/l/_binary64_6906 *-commutative_binary64_6890 clear-num_binary64_6958
Counts
3 → 68
Calls

3 calls:

9.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
4.0ms
(/.f64 (sinh.f64 y) x)
1.0ms
(sinh.f64 y)

series407.0ms (8%)

Counts
3 → 9
Calls

3 calls:

202.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
132.0ms
(/.f64 (sinh.f64 y) x)
72.0ms
(sinh.f64 y)

simplify71.0ms (1.4%)

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
059121011

prune48.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh055
Picked011
Done011
Total77784

Merged error: 0b

Counts
84 → 7
Compiler

Compiled 1037 to 297 computations (71.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 x (sinh.f64 y))
0.0b
(sinh.f64 y)
0.8b
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite25.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
87×times-frac_binary64_6965
54×*-un-lft-identity_binary64_6959 add-cube-cbrt_binary64_6994 add-sqr-sqrt_binary64_6981
17×associate-/r*_binary64_6903
10×add-exp-log_binary64_6997 add-cbrt-cube_binary64_6995
div-inv_binary64_6956 associate-/l*_binary64_6904 associate-/r/_binary64_6905 sinh-def_binary64_7144
div-exp_binary64_7010 cbrt-undiv_binary64_6993
pow1_binary64_7020 add-log-exp_binary64_6998
frac-2neg_binary64_6970 clear-num_binary64_6958
Counts
3 → 110
Calls

3 calls:

10.0ms
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
4.0ms
(/.f64 x (sinh.f64 y))
1.0ms
(sinh.f64 y)

series515.0ms (10.1%)

Counts
3 → 9
Calls

3 calls:

251.0ms
(/.f64 x (sinh.f64 y))
191.0ms
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
72.0ms
(sinh.f64 y)

simplify80.0ms (1.6%)

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049202253
149202253

prune84.0ms (1.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1181119
Fresh134
Picked011
Done112
Total1206126

Merged error: 0b

Counts
126 → 6
Compiler

Compiled 1879 to 456 computations (75.7% 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)

rewrite21.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64_6981
19×*-un-lft-identity_binary64_6959 add-cube-cbrt_binary64_6994 times-frac_binary64_6965
13×associate-*l*_binary64_6900
10×add-exp-log_binary64_6997 add-cbrt-cube_binary64_6995
pow1_binary64_7020
associate-/l*_binary64_6904 associate-/r*_binary64_6903 associate-*r*_binary64_6899 add-log-exp_binary64_6998 sinh-def_binary64_7144
div-inv_binary64_6956 unswap-sqr_binary64_6927 cbrt-unprod_binary64_6992 div-exp_binary64_7010 prod-exp_binary64_7008 cbrt-undiv_binary64_6993
associate-*r/_binary64_6901 pow-prod-down_binary64_7030 frac-2neg_binary64_6970 frac-times_binary64_6969 *-commutative_binary64_6890 associate-*l/_binary64_6902 clear-num_binary64_6958
Counts
3 → 69
Calls

3 calls:

9.0ms
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
4.0ms
(/.f64 (sin.f64 x) x)
1.0ms
(sinh.f64 y)

series313.0ms (6.1%)

Counts
3 → 9
Calls

3 calls:

203.0ms
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
74.0ms
(sinh.f64 y)
37.0ms
(/.f64 (sin.f64 x) x)

simplify66.0ms (1.3%)

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
056081001

prune54.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New77178
Fresh123
Picked101
Done022
Total79584

Merged error: 0b

Counts
84 → 5
Compiler

Compiled 1055 to 296 computations (71.9% saved)

regimes36.0ms (0.7%)

Compiler

Compiled 146 to 125 computations (14.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01114
11114

end0.0ms (0%)

sample1.8s (35.4%)

Algorithm
intervals
Results
482.0ms2005×body1024invalid
323.0ms6275×body128valid
184.0ms630×body1024valid
161.0ms990×body512invalid
104.0ms661×body512valid
49.0ms785×body128invalid
48.0ms469×body256invalid
45.0ms434×body256valid
Compiler

Compiled 70 to 60 computations (14.3% saved)

Profiling

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