Details

Time bar (total: 18.0s)

sample32.0ms

Algorithm
intervals
Results
17.0ms347×body80valid

simplify698.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (12.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* (fma 0.12 x 0.253) x))
0.1b
(* (fma 0.12 x 0.253) x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1 add-exp-log add-cbrt-cube add-log-exp
fma-neg associate-*r* associate-*l* prod-diff
expm1-log1p-u log1p-expm1-u
sub-neg flip3-- diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
6.0ms
(- 1.0 (* (fma 0.12 x 0.253) x))
8.0ms
(* (fma 0.12 x 0.253) x)

series142.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(- 1.0 (* (fma 0.12 x 0.253) x))
91.0ms
(* (fma 0.12 x 0.253) x)

simplify2.2s

Counts
46 → 46
Iterations

Useful iterations: done (2.2s)

IterNodesCost
074529
1157499
2474438
31906431
done5002407

prune175.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (- x) (fma 0.12 x 0.253) 1.0)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (- x) (fma 0.12 x 0.253) 1.0)

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(fma (- x) (fma 0.12 x 0.253) 1.0)

simplify1.4s

Counts
13 → 13
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
023148
143145
297123
3297123
41581123
done5001123

prune44.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
23.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
294.0ms
(* (cbrt x) (cbrt x))
216.0ms
(cbrt x)
330.0ms
(cbrt x)
348.0ms
(cbrt x)

simplify5.3s

Counts
93 → 93
Iterations

Useful iterations: done (5.3s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune422.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

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)
19.6b
(cbrt (* x x))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×pow1 add-exp-log
10×associate-*r*
cbrt-prod add-cube-cbrt *-un-lft-identity
add-cbrt-cube
expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
pow1/3 *-commutative unswap-sqr
Counts
4 → 69
Calls
4 calls:
12.0ms
(* (fma 0.12 x 0.253) (cbrt (* x x)))
37.0ms
(* (* (fma 0.12 x 0.253) (cbrt (* x x))) (cbrt x))
2.0ms
(cbrt x)
8.0ms
(cbrt (* x x))

series1.2s

Counts
4 → 12
Calls
4 calls:
580.0ms
(* (fma 0.12 x 0.253) (cbrt (* x x)))
139.0ms
(* (* (fma 0.12 x 0.253) (cbrt (* x x))) (cbrt x))
274.0ms
(cbrt x)
252.0ms
(cbrt (* x x))

simplify3.7s

Counts
81 → 81
Iterations

Useful iterations: done (3.6s)

IterNodesCost
0110840
1240805
2813719
33576696
done5001690

prune323.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes65.0ms

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
done78

end0.0ms

sample844.0ms

Algorithm
intervals
Results
583.0ms10740×body80valid