Details

Time bar (total: 3.6s)

analyze339.0ms (9.4%)

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)

sample62.0ms (1.7%)

Algorithm
intervals
Results
14.0ms48×body1280invalid
9.0ms34×body640valid
8.0ms188×body80valid
8.0ms41×body640invalid
5.0ms13×body1280valid
4.0ms25×body320invalid
2.0ms16×body320valid
2.0ms28×body80invalid
1.0msbody160invalid
0.0msbody160valid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify71.0ms (2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
0497211
1497211

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.5b

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))
13.5b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

rewrite13.0ms (0.4%)

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

series46.0ms (1.3%)

Counts
3 → 9
Calls

3 calls:

20.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
17.0ms
(*.f64 (sin.f64 x) (sinh.f64 y))
9.0ms
(sinh.f64 y)

simplify66.0ms (1.8%)

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04997673
14997673

prune48.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New50858
Fresh000
Picked011
Done000
Total50959

Merged error: 0.0b

Counts
59 → 9
Compiler

Compiled 748 to 260 computations (65.2% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 x (sinh.f64 y))
0.0b
(sinh.f64 y)
0.5b
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite17.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
87×times-frac_binary64
54×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
17×associate-/r*_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
sinh-def_binary64 associate-/r/_binary64 associate-/l*_binary64 div-inv_binary64
cbrt-undiv_binary64 div-exp_binary64
add-log-exp_binary64 pow1_binary64
clear-num_binary64 frac-2neg_binary64
Counts
3 → 110
Calls

3 calls:

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

series53.0ms (1.5%)

Counts
3 → 9
Calls

3 calls:

26.0ms
(/.f64 x (sinh.f64 y))
21.0ms
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
7.0ms
(sinh.f64 y)

simplify126.0ms (3.5%)

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
049212253
149212253

prune61.0ms (1.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1172119
Fresh347
Picked011
Done011
Total1208128

Merged error: 0.0b

Counts
128 → 8
Compiler

Compiled 1836 to 420 computations (77.1% saved)

localize6.0ms (0.2%)

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)

rewrite15.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64
19×*-un-lft-identity_binary64 add-cube-cbrt_binary64 times-frac_binary64
13×associate-*l*_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
associate-/r*_binary64 add-log-exp_binary64 sinh-def_binary64 associate-*r*_binary64 associate-/l*_binary64
cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64
pow-prod-down_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
3 → 69
Calls

3 calls:

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

series35.0ms (1%)

Counts
3 → 9
Calls

3 calls:

23.0ms
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
7.0ms
(sinh.f64 y)
4.0ms
(/.f64 (sin.f64 x) x)

simplify84.0ms (2.3%)

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
049621001
149621001

prune41.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New77178
Fresh145
Picked101
Done022
Total79786

Merged error: 0b

Counts
86 → 7
Compiler

Compiled 1054 to 291 computations (72.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(sinh.f64 y)
0.1b
(*.f64 (/.f64 1 (/.f64 x (sin.f64 x))) (sinh.f64 y))
0.2b
(/.f64 1 (/.f64 x (sin.f64 x)))
0.2b
(/.f64 x (sin.f64 x))

rewrite34.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
156×times-frac_binary64
104×add-sqr-sqrt_binary64
92×*-un-lft-identity_binary64
90×add-cube-cbrt_binary64
44×associate-*l*_binary64
36×add-exp-log_binary64
20×add-cbrt-cube_binary64
16×associate-/r*_binary64
15×div-exp_binary64
10×div-inv_binary64
pow1_binary64 cbrt-undiv_binary64 prod-exp_binary64
associate-/l*_binary64
unswap-sqr_binary64
add-log-exp_binary64 1-exp_binary64 rec-exp_binary64
sinh-def_binary64 cbrt-unprod_binary64 associate-*r*_binary64
associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64
pow-prod-down_binary64 associate-*r/_binary64 inv-pow_binary64 pow-flip_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 185
Calls

4 calls:

14.0ms
(*.f64 (/.f64 1 (/.f64 x (sin.f64 x))) (sinh.f64 y))
7.0ms
(/.f64 1 (/.f64 x (sin.f64 x)))
4.0ms
(/.f64 x (sin.f64 x))
1.0ms
(sinh.f64 y)

series41.0ms (1.1%)

Counts
4 → 12
Calls

4 calls:

23.0ms
(*.f64 (/.f64 1 (/.f64 x (sin.f64 x))) (sinh.f64 y))
7.0ms
(sinh.f64 y)
6.0ms
(/.f64 x (sin.f64 x))
4.0ms
(/.f64 1 (/.f64 x (sin.f64 x)))

simplify87.0ms (2.4%)

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
057322842

prune83.0ms (2.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1970197
Fresh044
Picked011
Done022
Total1977204

Merged error: 0b

Counts
204 → 7
Compiler

Compiled 3008 to 946 computations (68.6% saved)

regimes124.0ms (3.4%)

Compiler

Compiled 334 to 246 computations (26.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01214
11214

end0.0ms (0%)

sample2.1s (59%)

Algorithm
intervals
Results
412.0ms1428×body1280invalid
274.0ms6074×body80valid
230.0ms1218×body640invalid
163.0ms737×body640valid
137.0ms376×body1280valid
83.0ms615×body320invalid
69.0ms515×body320valid
34.0ms615×body80invalid
33.0ms339×body160invalid
28.0ms298×body160valid
Compiler

Compiled 102 to 78 computations (23.5% saved)

Profiling

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