Details

Time bar (total: 15.2s)

sample326.0ms

Algorithm
intervals
Results
146.0ms59×body10240exit
122.0ms75×body1280valid
25.0ms39×body640valid
9.0ms29×body320valid
9.0ms95×body80valid
4.0ms18×body160valid

simplify3.0ms

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: 32.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(atan2 (expm1 (sin (expm1 a))) (atan a))
0.0b
(sin (expm1 a))
0.0b
(expm1 (sin (expm1 a)))
37.0b
(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))
1.0ms
(sin (expm1 a))
2.0ms
(expm1 (sin (expm1 a)))
1.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

series163.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(atan2 (expm1 (sin (expm1 a))) (atan a))
59.0ms
(sin (expm1 a))
93.0ms
(expm1 (sin (expm1 a)))
8.0ms
(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
32934264
45001264

prune199.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 31.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
0.6b
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
0.6b
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
36.9b
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
Counts
4 → 48
Calls
4 calls:
0.0ms
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
0.0ms
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
1.0ms
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
0.0ms
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

series340.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
111.0ms
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
114.0ms
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
3.0ms
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

simplify92.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
042714
172632
2149626
3483611
42459611
55002611

prune252.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 30.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
36.9b
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
36.9b
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
36.9b
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod
1×pow1/3
Counts
4 → 40
Calls
4 calls:
1.0ms
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
0.0ms
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
0.0ms
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
0.0ms
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

series122.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
3.0ms
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
3.0ms
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
3.0ms
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

simplify91.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
042990
172848
2149846
3483801
42459801
55002801

prune307.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 30.7b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
36.9b
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
36.9b
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
36.9b
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (expm1 (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod
1×pow1/3
Counts
4 → 40
Calls
4 calls:
1.0ms
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
0.0ms
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
0.0ms
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
0.0ms
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (expm1 (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)

series122.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
3.0ms
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
3.0ms
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
6.0ms
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (expm1 (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)

simplify51.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 4 (43.0ms)

IterNodesCost
0721023
1124881
2314879
31187834
45001833

prune281.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 30.6b

regimes351.0ms

Accuracy

0% (1.8b remaining)

Error of 33.8b against oracle of 32.0b and baseline of 33.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027118
127118

end0.0ms

sample12.3s

Algorithm
intervals
Results
6.5s2592×body10240exit
3.8s2321×body1280valid
1.1s1667×body640valid
275.0ms2762×body80valid
269.0ms804×body320valid
100.0ms441×body160valid
8.0ms4×body2560valid
5.0ms1×body5120valid