Details

Time bar (total: 14.3s)

sample30.0ms

Algorithm
intervals
Results
15.0ms336×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
08164
119164
246139
391139
4148139
5218139
6280139
7912139
done5000139

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:
11.0ms
(* (fma 0.12 x 0.253) x)

series97.0ms

Counts
1 → 3
Calls
1 calls:
97.0ms
(* (fma 0.12 x 0.253) x)

simplify2.4s

Counts
23 → 23
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0394363
1783664
23203584
331143539
done50013464

prune111.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

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)

rewrite25.0ms

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:
17.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
248.0ms
(* (cbrt x) (cbrt x))
255.0ms
(cbrt x)
239.0ms
(cbrt x)
281.0ms
(cbrt x)

simplify1.4s

Counts
93 → 93
Iterations

Useful iterations: done (1.4s)

IterNodesCost
06518502
114215989
272515714
done500115034

prune480.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.3s

Counts
4 → 12
Calls
4 calls:
516.0ms
(cbrt x)
247.0ms
(cbrt x)
253.0ms
(cbrt x)
310.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify1.6s

Counts
62 → 62
Iterations

Useful iterations: 3 (156.0ms)

IterNodesCost
04613200
18811702
223811585
378710945
4296410945
done500110945

prune470.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (cbrt (fma 0.12 x 0.253)) (cbrt (fma 0.12 x 0.253))) (* (cbrt (fma 0.12 x 0.253)) x))
0.8b
(cbrt (fma 0.12 x 0.253))
0.8b
(cbrt (fma 0.12 x 0.253))
0.8b
(cbrt (fma 0.12 x 0.253))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
10×add-cbrt-cube
9×cbrt-prod
8×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 63
Calls
4 calls:
40.0ms
(* (* (cbrt (fma 0.12 x 0.253)) (cbrt (fma 0.12 x 0.253))) (* (cbrt (fma 0.12 x 0.253)) x))
1.0ms
(cbrt (fma 0.12 x 0.253))
1.0ms
(cbrt (fma 0.12 x 0.253))
1.0ms
(cbrt (fma 0.12 x 0.253))

series510.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* (* (cbrt (fma 0.12 x 0.253)) (cbrt (fma 0.12 x 0.253))) (* (cbrt (fma 0.12 x 0.253)) x))
154.0ms
(cbrt (fma 0.12 x 0.253))
141.0ms
(cbrt (fma 0.12 x 0.253))
133.0ms
(cbrt (fma 0.12 x 0.253))

simplify1.3s

Counts
75 → 75
Iterations

Useful iterations: done (1.3s)

IterNodesCost
011528223
128423475
2112023085
done500018680

prune446.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes78.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07139
18139
done8139

end0.0ms

sample651.0ms

Algorithm
intervals
Results
461.0ms10652×body80valid