Details

Time bar (total: 15.7s)

sample705.0ms

Algorithm
intervals
Results
562.0ms271×body10240exit
58.0ms69×body1280valid
22.0ms53×body640valid
9.0ms146×body80nan
8.0ms95×body80valid
6.0ms23×body320valid
5.0msbody2560valid
2.0msbody5120valid
2.0ms12×body160valid

simplify71.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
055
1115
2145
3165
done165

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(log1p a)
37.8b
(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
Counts
2 → 14
Calls
2 calls:
1.0ms
(log1p a)
1.0ms
(fmod (cosh c) (log1p a))

series20.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(log1p a)
17.0ms
(fmod (cosh c) (log1p a))

simplify4.5s

Counts
20 → 20
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
019111
127111
23397
34197
45097
56797
610697
725197
884297
9364297
done500197

prune145.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 32.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (log1p a))
0.6b
(cbrt (log1p a))
0.6b
(cbrt (log1p a))
37.8b
(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log add-cbrt-cube add-log-exp
pow1/3
Counts
4 → 40
Calls
4 calls:
2.0ms
(cbrt (log1p a))
2.0ms
(cbrt (log1p a))
4.0ms
(cbrt (log1p a))
1.0ms
(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series553.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt (log1p a))
164.0ms
(cbrt (log1p a))
185.0ms
(cbrt (log1p a))
7.0ms
(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify1.3s

Counts
52 → 52
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
028396
142384
273281
3127248
4329248
51325248
done5000248

prune235.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 31.7b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (log1p a)))
0.6b
(cbrt (cbrt (log1p a)))
0.6b
(cbrt (cbrt (log1p a)))
37.8b
(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log add-cbrt-cube add-log-exp
pow1/3
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt (cbrt (log1p a)))
1.0ms
(cbrt (cbrt (log1p a)))
1.0ms
(cbrt (cbrt (log1p a)))
0.0ms
(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

series521.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt (cbrt (log1p a)))
176.0ms
(cbrt (cbrt (log1p a)))
161.0ms
(cbrt (cbrt (log1p a)))
4.0ms
(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

simplify2.6s

Counts
61 → 61
Iterations

Useful iterations: 6 (823.0ms)

IterNodesCost
038647
156638
280500
3122467
4199416
5488392
61533380
done5000380

prune375.0ms

Pruning

25 alts after pruning (23 fresh and 2 done)

Merged error: 31.2b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (log1p a)))
0.6b
(cbrt (cbrt (log1p a)))
0.6b
(cbrt (cbrt (log1p a)))
37.8b
(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (* (cbrt (pow (cbrt (cbrt (log1p a))) 2)) (cbrt (cbrt (cbrt (log1p a)))))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log add-cbrt-cube add-log-exp
pow1/3
Counts
4 → 49
Calls
4 calls:
3.0ms
(cbrt (cbrt (log1p a)))
3.0ms
(cbrt (cbrt (log1p a)))
3.0ms
(cbrt (cbrt (log1p a)))
1.0ms
(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (* (cbrt (pow (cbrt (cbrt (log1p a))) 2)) (cbrt (cbrt (cbrt (log1p a)))))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

series536.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(cbrt (cbrt (log1p a)))
178.0ms
(cbrt (cbrt (log1p a)))
188.0ms
(cbrt (cbrt (log1p a)))
8.0ms
(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (* (cbrt (pow (cbrt (cbrt (log1p a))) 2)) (cbrt (cbrt (cbrt (log1p a)))))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

simplify3.6s

Counts
61 → 61
Iterations

Useful iterations: done (3.6s)

IterNodesCost
044737
170710
2117603
3308594
41222583
done5000543

prune419.0ms

Pruning

36 alts after pruning (34 fresh and 2 done)

Merged error: 30.8b

regimes25.0ms