Details

Time bar (total: 12.4s)

sample60.0ms

Algorithm
intervals
Results
39.0ms455×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5001
51519
4433
3149
261
123
011

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (* 3 (* x.re x.im)) x.re (- (pow x.im 3)))
0.3b
(* 3 (* x.re x.im))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt *-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*r* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma (* 3 (* x.re x.im)) x.re (- (pow x.im 3)))
15.0ms
(* 3 (* x.re x.im))

series120.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(fma (* 3 (* x.re x.im)) x.re (- (pow x.im 3)))
20.0ms
(* 3 (* x.re x.im))

simplify3.1s

Counts
36 → 36
Iterations
IterNodes
done5001
34574
2573
1128
057

prune246.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.3b
(* (* x.im x.re) (* 3 x.re))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-cbrt-cube add-exp-log
8×pow-prod-down prod-exp cbrt-unprod
1×add-sqr-sqrt expm1-log1p-u *-un-lft-identity associate-*r* associate-*l* *-commutative add-cube-cbrt log1p-expm1-u add-log-exp
Counts
1 → 24
Calls
1 calls:
42.0ms
(* (* x.im x.re) (* 3 x.re))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(* (* x.im x.re) (* 3 x.re))

simplify644.0ms

Counts
27 → 27
Iterations
IterNodes
done5000
2752
1134
048

prune108.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* (* 3 x.im) x.re) x.re)
0.2b
(* (* 3 x.im) x.re)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*r*
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
2×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
2 → 43
Calls
2 calls:
47.0ms
(* (* (* 3 x.im) x.re) x.re)
31.0ms
(* (* 3 x.im) x.re)

series72.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* (* (* 3 x.im) x.re) x.re)
22.0ms
(* (* 3 x.im) x.re)

simplify1.1s

Counts
49 → 49
Iterations
IterNodes
done5000
21341
1179
064

prune237.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* x.re (* 3 x.im)) x.re)) (cbrt (* (* x.re (* 3 x.im)) x.re)))
22.9b
(cbrt (* (* x.re (* 3 x.im)) x.re))
22.9b
(cbrt (* (* x.re (* 3 x.im)) x.re))
22.9b
(cbrt (* (* x.re (* 3 x.im)) x.re))

rewrite539.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
45.0ms
(* (cbrt (* (* x.re (* 3 x.im)) x.re)) (cbrt (* (* x.re (* 3 x.im)) x.re)))
420.0ms
(cbrt (* (* x.re (* 3 x.im)) x.re))
32.0ms
(cbrt (* (* x.re (* 3 x.im)) x.re))
40.0ms
(cbrt (* (* x.re (* 3 x.im)) x.re))

series682.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(* (cbrt (* (* x.re (* 3 x.im)) x.re)) (cbrt (* (* x.re (* 3 x.im)) x.re)))
155.0ms
(cbrt (* (* x.re (* 3 x.im)) x.re))
166.0ms
(cbrt (* (* x.re (* 3 x.im)) x.re))
176.0ms
(cbrt (* (* x.re (* 3 x.im)) x.re))

simplify672.0ms

Counts
78 → 78
Iterations
IterNodes
done5001
2862
1247
099

prune529.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes195.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done13
113
09

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.4s14383×body80valid