Details

Time bar (total: 14.7s)

sample28.0ms

Algorithm
intervals
Results
15.0ms342×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5000
7912
6280
5218
4148
391
246
119
08

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (fma 0.12 x 0.253) x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
1×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:
5.0ms
(* (fma 0.12 x 0.253) x)

series105.0ms

Counts
1 → 3
Calls
1 calls:
105.0ms
(* (fma 0.12 x 0.253) x)

simplify2.2s

Counts
23 → 23
Iterations
IterNodes
done5001
33114
2320
178
039

prune142.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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:
9.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
314.0ms
(* (cbrt x) (cbrt x))
256.0ms
(cbrt x)
275.0ms
(cbrt x)
266.0ms
(cbrt x)

simplify1.5s

Counts
93 → 93
Iterations
IterNodes
done5001
2725
1142
065

prune516.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fma 0.12 x 0.253) (cbrt (* x x)))
0.3b
(* (* (fma 0.12 x 0.253) (cbrt (* x x))) (cbrt x))
0.6b
(cbrt x)
18.6b
(cbrt (* x x))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×pow1 add-exp-log
10×associate-*r*
9×cbrt-prod *-un-lft-identity add-cube-cbrt
7×add-cbrt-cube
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×pow1/3 *-commutative unswap-sqr
Counts
4 → 69
Calls
4 calls:
12.0ms
(* (fma 0.12 x 0.253) (cbrt (* x x)))
46.0ms
(* (* (fma 0.12 x 0.253) (cbrt (* x x))) (cbrt x))
1.0ms
(cbrt x)
5.0ms
(cbrt (* x x))

series1.1s

Counts
4 → 12
Calls
4 calls:
513.0ms
(* (fma 0.12 x 0.253) (cbrt (* x x)))
132.0ms
(* (* (fma 0.12 x 0.253) (cbrt (* x x))) (cbrt x))
219.0ms
(cbrt x)
256.0ms
(cbrt (* x x))

simplify1.3s

Counts
81 → 81
Iterations
IterNodes
done5001
21269
1251
0110

prune449.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (fma 0.12 x 0.253) (sqrt (cbrt (* x x)))) (sqrt (cbrt (* x x))))
0.6b
(cbrt x)
18.6b
(cbrt (* x x))
18.6b
(cbrt (* x x))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-cbrt-cube add-exp-log
7×add-sqr-sqrt *-un-lft-identity associate-*r* add-cube-cbrt
6×cbrt-prod
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
1×associate-*l* *-commutative
Counts
4 → 59
Calls
4 calls:
44.0ms
(* (* (fma 0.12 x 0.253) (sqrt (cbrt (* x x)))) (sqrt (cbrt (* x x))))
1.0ms
(cbrt x)
3.0ms
(cbrt (* x x))
3.0ms
(cbrt (* x x))

series1.2s

Counts
4 → 12
Calls
4 calls:
474.0ms
(* (* (fma 0.12 x 0.253) (sqrt (cbrt (* x x)))) (sqrt (cbrt (* x x))))
214.0ms
(cbrt x)
247.0ms
(cbrt (* x x))
261.0ms
(cbrt (* x x))

simplify1.3s

Counts
71 → 71
Iterations
IterNodes
done5001
21127
1210
092

prune395.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample793.0ms

Algorithm
intervals
Results
576.0ms10682×body80valid