Details

Time bar (total: 22.2s)

sample18.0ms

Algorithm
intervals
Results
9.0ms350×body80valid

simplify738.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
089
1199
2458
3798
41228
51628
62138
72998
83538
93548
done3548

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
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:
15.0ms
(* (fma 0.12 x 0.253) x)

series110.0ms

Counts
1 → 3
Calls
1 calls:
110.0ms
(* (fma 0.12 x 0.253) x)

simplify4.1s

Counts
23 → 23
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
039204
177198
2244168
3841168
43494168
done5001168

prune82.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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)

rewrite28.0ms

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:
19.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
362.0ms
(* (cbrt x) (cbrt x))
333.0ms
(cbrt x)
324.0ms
(cbrt x)
297.0ms
(cbrt x)

simplify5.3s

Counts
93 → 93
Iterations

Useful iterations: done (5.3s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune291.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fma 0.12 x 0.253) (cbrt (* x x)))
0.4b
(* (* (fma 0.12 x 0.253) (cbrt (* x x))) (cbrt x))
0.6b
(cbrt x)
19.8b
(cbrt (* x x))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×pow1 add-exp-log
10×associate-*r*
9×cbrt-prod add-cube-cbrt *-un-lft-identity
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:
17.0ms
(* (fma 0.12 x 0.253) (cbrt (* x x)))
43.0ms
(* (* (fma 0.12 x 0.253) (cbrt (* x x))) (cbrt x))
2.0ms
(cbrt x)
7.0ms
(cbrt (* x x))

series1.2s

Counts
4 → 12
Calls
4 calls:
518.0ms
(* (fma 0.12 x 0.253) (cbrt (* x x)))
90.0ms
(* (* (fma 0.12 x 0.253) (cbrt (* x x))) (cbrt x))
281.0ms
(cbrt x)
278.0ms
(cbrt (* x x))

simplify3.3s

Counts
81 → 81
Iterations

Useful iterations: done (3.3s)

IterNodesCost
0110840
1240805
2813719
33576696
done5001690

prune353.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (fma 0.12 x 0.253) (sqrt (cbrt (* x x)))) (sqrt (cbrt (* x x))))
0.6b
(cbrt x)
19.8b
(cbrt (* x x))
19.8b
(cbrt (* x x))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r*
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:
45.0ms
(* (* (fma 0.12 x 0.253) (sqrt (cbrt (* x x)))) (sqrt (cbrt (* x x))))
1.0ms
(cbrt x)
3.0ms
(cbrt (* x x))
4.0ms
(cbrt (* x x))

series1.5s

Counts
4 → 12
Calls
4 calls:
570.0ms
(* (* (fma 0.12 x 0.253) (sqrt (cbrt (* x x)))) (sqrt (cbrt (* x x))))
373.0ms
(cbrt x)
285.0ms
(cbrt (* x x))
311.0ms
(cbrt (* x x))

simplify2.2s

Counts
71 → 71
Iterations

Useful iterations: 3 (936.0ms)

IterNodesCost
092774
1198596
2602510
32264498
done5001498

prune294.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes34.0ms

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
078
188
done88

end0.0ms

sample1.1s

Algorithm
intervals
Results
851.0ms10702×body80valid