Details

Time bar (total: 13.7s)

sample39.0ms

Algorithm
intervals
Results
13.0ms38×body1280valid
8.0ms229×body80valid
5.0ms30×body640valid
2.0ms15×body320valid
1.0ms13×body160valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
165
done65

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (exp re) (sin im))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
add-exp-log
expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 20
Calls
1 calls:
6.0ms
(* (exp re) (sin im))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(* (exp re) (sin im))

simplify3.4s

Counts
23 → 23
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
042173
191167
2244148
3490146
4797146
51641146
64524146
done5000146

prune57.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
0.4b
(cbrt (* (exp re) (sin im)))
0.4b
(cbrt (* (exp re) (sin im)))
0.4b
(cbrt (* (exp re) (sin im)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
pow1/3
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
7.0ms
(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
3.0ms
(cbrt (* (exp re) (sin im)))
4.0ms
(cbrt (* (exp re) (sin im)))
4.0ms
(cbrt (* (exp re) (sin im)))

series310.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
72.0ms
(cbrt (* (exp re) (sin im)))
73.0ms
(cbrt (* (exp re) (sin im)))
74.0ms
(cbrt (* (exp re) (sin im)))

simplify1.8s

Counts
78 → 78
Iterations

Useful iterations: 3 (317.0ms)

IterNodesCost
073896
1158794
2491642
31718598
done5001598

prune209.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (* (exp re) (sin im)))
0.6b
(cbrt (cbrt (* (exp re) (sin im))))
0.6b
(cbrt (cbrt (* (exp re) (sin im))))
0.6b
(cbrt (cbrt (* (exp re) (sin im))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 53
Calls
4 calls:
3.0ms
(cbrt (* (exp re) (sin im)))
1.0ms
(cbrt (cbrt (* (exp re) (sin im))))
1.0ms
(cbrt (cbrt (* (exp re) (sin im))))
1.0ms
(cbrt (cbrt (* (exp re) (sin im))))

series291.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(cbrt (* (exp re) (sin im)))
72.0ms
(cbrt (cbrt (* (exp re) (sin im))))
72.0ms
(cbrt (cbrt (* (exp re) (sin im))))
74.0ms
(cbrt (cbrt (* (exp re) (sin im))))

simplify1.7s

Counts
65 → 65
Iterations

Useful iterations: 4 (563.0ms)

IterNodesCost
054689
1100677
2265613
3775589
42745582
done5000582

prune208.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (exp re) (sqrt (sin im)))
0.0b
(sqrt (sin im))
0.0b
(sqrt (sin im))
0.2b
(* (* (exp re) (sqrt (sin im))) (sqrt (sin im)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-cube-cbrt *-un-lft-identity add-cbrt-cube
add-exp-log
expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 77
Calls
4 calls:
7.0ms
(* (exp re) (sqrt (sin im)))
1.0ms
(sqrt (sin im))
1.0ms
(sqrt (sin im))
20.0ms
(* (* (exp re) (sqrt (sin im))) (sqrt (sin im)))

series124.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (exp re) (sqrt (sin im)))
16.0ms
(sqrt (sin im))
20.0ms
(sqrt (sin im))
39.0ms
(* (* (exp re) (sqrt (sin im))) (sqrt (sin im)))

simplify3.8s

Counts
89 → 89
Iterations

Useful iterations: 4 (2.5s)

IterNodesCost
092783
1230621
2705554
31733541
43608538
done5000538

prune180.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes101.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample1.3s

Algorithm
intervals
Results
472.0ms1517×body1280valid
266.0ms6972×body80valid
231.0ms1254×body640valid
76.0ms609×body320valid
23.0ms291×body160valid