Details

Time bar (total: 14.7s)

sample939.0ms

Algorithm
intervals
Results
665.0ms271×body10240exit
84.0ms69×body1280valid
53.0ms53×body640valid
42.0ms146×body80nan
9.0ms95×body80valid
6.0ms3×body2560valid
5.0ms23×body320valid
4.0ms1×body5120valid
2.0ms12×body160valid

simplify86.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
055
1115
2145
3165
done165

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
3×expm1-log1p-u
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
1×log1p-udef log1p-expm1
Counts
2 → 20
Calls
2 calls:
3.0ms
(log1p a)
1.0ms
(fmod (cosh c) (log1p a))

series149.0ms

Counts
2 → 6
Calls
2 calls:
129.0ms
(log1p a)
20.0ms
(fmod (cosh c) (log1p a))

simplify4.8s

Counts
26 → 26
Iterations

Useful iterations: 4 (606.0ms)

IterNodesCost
048174
198166
2199151
3415150
4935143
52364143
done5000143

prune179.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 32.4b

localize29.0ms

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))))

rewrite5.0ms

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:
1.0ms
(cbrt (log1p a))
1.0ms
(cbrt (log1p a))
2.0ms
(cbrt (log1p a))
1.0ms
(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series259.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(cbrt (log1p a))
99.0ms
(cbrt (log1p a))
87.0ms
(cbrt (log1p a))
4.0ms
(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify1.7s

Counts
60 → 60
Iterations

Useful iterations: done (1.7s)

IterNodesCost
089876
1217816
2540665
31582521
done5000506

prune345.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 31.7b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
8×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 → 51
Calls
4 calls:
2.0ms
(cbrt (log1p a))
2.0ms
(cbrt (log1p a))
3.0ms
(cbrt (cbrt (log1p a)))
1.0ms
(fmod (cosh c) (* (* (cbrt (log1p a)) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

series237.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(cbrt (log1p a))
73.0ms
(cbrt (log1p a))
91.0ms
(cbrt (cbrt (log1p a)))
7.0ms
(fmod (cosh c) (* (* (cbrt (log1p a)) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

simplify2.6s

Counts
63 → 63
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01531045
1386994
21016881
33022772
done5000762

prune579.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 31.0b

localize52.0ms

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 (log1p a)))) (* (* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a))))))) (cbrt (log1p a))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
10×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 → 57
Calls
4 calls:
1.0ms
(cbrt (cbrt (log1p a)))
2.0ms
(cbrt (cbrt (log1p a)))
2.0ms
(cbrt (cbrt (log1p a)))
6.0ms
(fmod (cosh c) (* (* (cbrt (log1p a)) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (* (* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a))))))) (cbrt (log1p a))))

series194.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(cbrt (cbrt (log1p a)))
56.0ms
(cbrt (cbrt (log1p a)))
76.0ms
(cbrt (cbrt (log1p a)))
8.0ms
(fmod (cosh c) (* (* (cbrt (log1p a)) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (* (* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a))))))) (cbrt (log1p a))))

simplify1.8s

Counts
69 → 69
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01021299
12301266
25751023
31630900
done5000858

prune531.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 30.8b

regimes15.0ms