Details

Time bar (total: 18.5s)

sample41.0ms

Algorithm
intervals
Results
28.0ms341×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done1496
101496
91435
81050
7475
6224
5173
4133
391
246
119
08

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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 insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
12.0ms
(* (fma 0.12 x 0.253) x)

series91.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(* (fma 0.12 x 0.253) x)

simplify1.8s

Counts
24 → 24
Iterations
IterNodes
done5008
31368
2268
179
040

prune146.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite22.0ms

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 insert-posit16 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 → 85
Calls
4 calls:
15.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
278.0ms
(* (cbrt x) (cbrt x))
309.0ms
(cbrt x)
292.0ms
(cbrt x)
258.0ms
(cbrt x)

simplify3.4s

Counts
97 → 97
Iterations
IterNodes
done5000
44291
31197
2374
1141
067

prune446.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (fma 0.12 x 0.253) (cbrt (* x x)))
0.4b
(* (* (fma 0.12 x 0.253) (cbrt (* x x))) (cbrt x))
0.7b
(cbrt x)
23.0b
(cbrt (* x x))

rewrite72.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
2×pow1/3 *-commutative unswap-sqr
Counts
4 → 73
Calls
4 calls:
19.0ms
(* (fma 0.12 x 0.253) (cbrt (* x x)))
45.0ms
(* (* (fma 0.12 x 0.253) (cbrt (* x x))) (cbrt x))
1.0ms
(cbrt x)
6.0ms
(cbrt (* x x))

series1.2s

Counts
4 → 12
Calls
4 calls:
492.0ms
(* (fma 0.12 x 0.253) (cbrt (* x x)))
105.0ms
(* (* (fma 0.12 x 0.253) (cbrt (* x x))) (cbrt x))
268.0ms
(cbrt x)
286.0ms
(cbrt (* x x))

simplify2.7s

Counts
85 → 85
Iterations
IterNodes
done5000
33760
2862
1255
0114

prune475.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
23.0b
(cbrt (* x x))

rewrite19.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 54
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)
13.0ms
(cbrt (* x x))

series1.2s

Counts
4 → 12
Calls
4 calls:
280.0ms
(cbrt x)
291.0ms
(cbrt x)
279.0ms
(cbrt x)
310.0ms
(cbrt (* x x))

simplify2.8s

Counts
66 → 66
Iterations
IterNodes
done5001
64173
51257
4512
3256
2134
174
045

prune399.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes67.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample949.0ms

Algorithm
intervals
Results
798.0ms10731×body80valid