Details

Time bar (total: 16.6s)

sample32.0ms

Algorithm
intervals
Results
8.0ms273×body80valid
7.0ms271×body80nan

simplify3.8s

Counts
1 → 1
Iterations
IterNodes
done5001
71646
6498
5161
471
343
225
113
07

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma y (sqrt x) 1.0)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma y (sqrt x) 1.0)

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(fma y (sqrt x) 1.0)

simplify3.0s

Counts
13 → 13
Iterations
IterNodes
done5000
44566
3673
2189
171
031

prune94.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (fma (sqrt x) y 1.0))
0.2b
(cbrt (fma (sqrt x) y 1.0))
0.2b
(cbrt (fma (sqrt x) y 1.0))
0.3b
(* (cbrt (fma (sqrt x) y 1.0)) (cbrt (fma (sqrt x) y 1.0)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
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:
1.0ms
(cbrt (fma (sqrt x) y 1.0))
1.0ms
(cbrt (fma (sqrt x) y 1.0))
1.0ms
(cbrt (fma (sqrt x) y 1.0))
17.0ms
(* (cbrt (fma (sqrt x) y 1.0)) (cbrt (fma (sqrt x) y 1.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
272.0ms
(cbrt (fma (sqrt x) y 1.0))
263.0ms
(cbrt (fma (sqrt x) y 1.0))
244.0ms
(cbrt (fma (sqrt x) y 1.0))
272.0ms
(* (cbrt (fma (sqrt x) y 1.0)) (cbrt (fma (sqrt x) y 1.0)))

simplify935.0ms

Counts
93 → 93
Iterations
IterNodes
done5000
21014
1302
0120

prune726.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cbrt (fma y (sqrt x) 1.0)))
0.3b
(cbrt (cbrt (fma y (sqrt x) 1.0)))
0.3b
(cbrt (cbrt (fma y (sqrt x) 1.0)))
0.3b
(* (* (* (cbrt (cbrt (fma y (sqrt x) 1.0))) (cbrt (cbrt (fma y (sqrt x) 1.0)))) (cbrt (cbrt (fma y (sqrt x) 1.0)))) (cbrt (fma (sqrt x) y 1.0)))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
13×pow1 add-exp-log
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow-prod-down
7×pow1/3
6×add-cbrt-cube associate-*r* prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*l* *-commutative
Counts
4 → 75
Calls
4 calls:
2.0ms
(cbrt (cbrt (fma y (sqrt x) 1.0)))
2.0ms
(cbrt (cbrt (fma y (sqrt x) 1.0)))
2.0ms
(cbrt (cbrt (fma y (sqrt x) 1.0)))
132.0ms
(* (* (* (cbrt (cbrt (fma y (sqrt x) 1.0))) (cbrt (cbrt (fma y (sqrt x) 1.0)))) (cbrt (cbrt (fma y (sqrt x) 1.0)))) (cbrt (fma (sqrt x) y 1.0)))

series923.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(cbrt (cbrt (fma y (sqrt x) 1.0)))
228.0ms
(cbrt (cbrt (fma y (sqrt x) 1.0)))
259.0ms
(cbrt (cbrt (fma y (sqrt x) 1.0)))
230.0ms
(* (* (* (cbrt (cbrt (fma y (sqrt x) 1.0))) (cbrt (cbrt (fma y (sqrt x) 1.0)))) (cbrt (cbrt (fma y (sqrt x) 1.0)))) (cbrt (fma (sqrt x) y 1.0)))

simplify749.0ms

Counts
87 → 87
Iterations
IterNodes
done5000
21407
1374
0149

prune785.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (fma y (sqrt x) 1.0))
0.2b
(cbrt (* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0))))
0.3b
(cbrt (cbrt (fma (sqrt x) y 1.0)))
0.3b
(* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
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 → 82
Calls
4 calls:
1.0ms
(cbrt (fma y (sqrt x) 1.0))
4.0ms
(cbrt (* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0))))
1.0ms
(cbrt (cbrt (fma (sqrt x) y 1.0)))
9.0ms
(* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))

series865.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt (fma y (sqrt x) 1.0))
201.0ms
(cbrt (* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0))))
253.0ms
(cbrt (cbrt (fma (sqrt x) y 1.0)))
225.0ms
(* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))

simplify977.0ms

Counts
94 → 94
Iterations
IterNodes
done5001
21744
1540
0213

prune809.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes151.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
06

end0.0ms

sample1.3s

Algorithm
intervals
Results
415.0ms8544×body80valid
369.0ms8679×body80nan
0.0ms2×body320valid