Details

Time bar (total: 15.3s)

sample377.0ms

Algorithm
intervals
Results
166.0ms63×body10240exit
138.0ms81×body1280valid
40.0ms56×body640valid
9.0ms26×body320valid
8.0ms78×body80valid
3.0ms14×body160valid
2.0ms1×body2560valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
087

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(atan2 (expm1 (sin (expm1 a))) (atan a))
0.0b
(expm1 (sin (expm1 a)))
0.5b
(sin (expm1 a))
40.9b
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
5×log1p-expm1-u
4×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
2×expm1-udef
1×expm1-log1p sin-diff
Counts
4 → 39
Calls
4 calls:
0.0ms
(atan2 (expm1 (sin (expm1 a))) (atan a))
0.0ms
(expm1 (sin (expm1 a)))
3.0ms
(sin (expm1 a))
1.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

series165.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(atan2 (expm1 (sin (expm1 a))) (atan a))
86.0ms
(expm1 (sin (expm1 a)))
68.0ms
(sin (expm1 a))
9.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

simplify126.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0108302
1242264
2720264
32933264
45001264

prune219.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 34.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(sin (expm1 a))
0.6b
(cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))
1.0b
(pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)
40.9b
(fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow
2×cube-mult unpow3 sqr-pow
1×pow-to-exp pow-pow pow1/3 pow-exp sin-diff rem-cbrt-cube expm1-udef rem-cube-cbrt
Counts
4 → 67
Calls
4 calls:
1.0ms
(sin (expm1 a))
1.0ms
(cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))
2.0ms
(pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)
0.0ms
(fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)

series101.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(sin (expm1 a))
2.0ms
(cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))
38.0ms
(pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)
2.0ms
(fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)

simplify145.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0156650
1538592
23301586
35002586

prune296.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 34.1b

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b
(pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)
40.9b
(fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)
40.9b
(fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)
40.9b
(fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow cube-prod
1×cube-mult pow-to-exp pow-pow unpow3 pow-exp rem-cube-cbrt sqr-pow
Counts
4 → 52
Calls
4 calls:
1.0ms
(pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)
0.0ms
(fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)
0.0ms
(fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)
0.0ms
(fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)

series40.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)
2.0ms
(fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)
2.0ms
(fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)
2.0ms
(fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)

simplify128.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
092608
1341520
22697516
35002516

prune369.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 33.9b

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b
(pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)
40.9b
(fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)
40.9b
(fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)
40.9b
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow cube-prod
1×cube-mult pow-to-exp pow-pow unpow3 pow-exp rem-cube-cbrt sqr-pow
Counts
4 → 52
Calls
4 calls:
1.0ms
(pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)
0.0ms
(fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)
0.0ms
(fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)
0.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

series40.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)
2.0ms
(fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)
3.0ms
(fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)
2.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

simplify129.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0102536
1346466
22702462
35001462

prune289.0ms

Pruning

30 alts after pruning (28 fresh and 2 done)

Merged error: 33.9b

regimes391.0ms

Accuracy

0% (1.8b remaining)

Error of 33.6b against oracle of 31.8b and baseline of 33.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01828
11828

end0.0ms

sample12.4s

Algorithm
intervals
Results
6.5s2569×body10240exit
3.9s2304×body1280valid
1.1s1562×body640valid
303.0ms900×body320valid
285.0ms2776×body80valid
97.0ms450×body160valid
12.0ms6×body2560valid
10.0ms2×body5120valid