Details

Time bar (total: 17.7s)

sample70.0ms

Algorithm
intervals
Results
48.0ms437×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 5 (564.0ms)

IterNodesCost
01119
12317
26116
314916
442613
5150311
done500011

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x.re (* x.im (* 3 x.re)) (- (pow x.im 3)))
0.2b
(* x.im (* 3 x.re))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp 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 x.re (* x.im (* 3 x.re)) (- (pow x.im 3)))
16.0ms
(* x.im (* 3 x.re))

series139.0ms

Counts
2 → 6
Calls
2 calls:
113.0ms
(fma x.re (* x.im (* 3 x.re)) (- (pow x.im 3)))
26.0ms
(* x.im (* 3 x.re))

simplify5.3s

Counts
36 → 36
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
057350
1129337
2597297
34691295
done5000295

prune131.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x.im) (cbrt x.im))
0.6b
(cbrt x.im)
0.6b
(cbrt x.im)
0.6b
(cbrt x.im)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
13.0ms
(* (cbrt x.im) (cbrt x.im))
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)

series1.1s

Counts
4 → 12
Calls
4 calls:
342.0ms
(* (cbrt x.im) (cbrt x.im))
240.0ms
(cbrt x.im)
293.0ms
(cbrt x.im)
273.0ms
(cbrt x.im)

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: done (1.2s)

IterNodesCost
065554
1143443
2719423
done5000409

prune408.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x.im (* 3 x.re))) (cbrt (* x.im (* 3 x.re))))
12.5b
(cbrt (* x.im (* 3 x.re)))
12.5b
(cbrt (* x.im (* 3 x.re)))
12.5b
(cbrt (* x.im (* 3 x.re)))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube 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:
36.0ms
(* (cbrt (* x.im (* 3 x.re))) (cbrt (* x.im (* 3 x.re))))
22.0ms
(cbrt (* x.im (* 3 x.re)))
23.0ms
(cbrt (* x.im (* 3 x.re)))
20.0ms
(cbrt (* x.im (* 3 x.re)))

series633.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt (* x.im (* 3 x.re))) (cbrt (* x.im (* 3 x.re))))
138.0ms
(cbrt (* x.im (* 3 x.re)))
147.0ms
(cbrt (* x.im (* 3 x.re)))
149.0ms
(cbrt (* x.im (* 3 x.re)))

simplify733.0ms

Counts
78 → 78
Iterations

Useful iterations: done (730.0ms)

IterNodesCost
091926
1231837
2804737
done5001684

prune389.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x.im)
0.6b
(cbrt x.im)
0.6b
(cbrt x.im)
0.6b
(cbrt x.im)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
11.0ms
(cbrt x.im)
2.0ms
(cbrt x.im)
2.0ms
(cbrt x.im)
2.0ms
(cbrt x.im)

series1.3s

Counts
4 → 12
Calls
4 calls:
347.0ms
(cbrt x.im)
262.0ms
(cbrt x.im)
351.0ms
(cbrt x.im)
313.0ms
(cbrt x.im)

simplify1.0s

Counts
64 → 64
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
026284
147268
2115244
3334232
41002232
done5001232

prune364.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes168.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11011
done1011

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.7s14367×body80valid