Details

Time bar (total: 21.6s)

sample94.0ms

Algorithm
intervals
Results
67.0ms619×body80valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5002
42092
3566
2172
153
018

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 1.0 a) a (* b b))
0.1b
(* (fma (- 1.0 a) a (* b b)) a)
0.1b
(fma (* b b) 3.0 (* (fma (- 1.0 a) a (* b b)) a))
0.3b
(pow (fma b b (* a a)) 2.0)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×pow1 add-exp-log
6×add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow unpow-prod-down associate-*r* associate-*l*
2×fma-udef
1×pow-to-exp pow-pow pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod unswap-sqr sqr-pow
Counts
4 → 59
Calls
4 calls:
0.0ms
(fma (- 1.0 a) a (* b b))
10.0ms
(* (fma (- 1.0 a) a (* b b)) a)
0.0ms
(fma (* b b) 3.0 (* (fma (- 1.0 a) a (* b b)) a))
4.0ms
(pow (fma b b (* a a)) 2.0)

series368.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(fma (- 1.0 a) a (* b b))
68.0ms
(* (fma (- 1.0 a) a (* b b)) a)
75.0ms
(fma (* b b) 3.0 (* (fma (- 1.0 a) a (* b b)) a))
167.0ms
(pow (fma b b (* a a)) 2.0)

simplify824.0ms

Counts
71 → 71
Iterations
IterNodes
done5000
2900
1240
0109

prune685.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize85.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (- 1.0 a) a (* b b))) (cbrt (fma (- 1.0 a) a (* b b))))
0.6b
(cbrt (fma (- 1.0 a) a (* b b)))
0.6b
(cbrt (fma (- 1.0 a) a (* b b)))
0.6b
(cbrt (fma (- 1.0 a) a (* b b)))

rewrite20.0ms

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:
16.0ms
(* (cbrt (fma (- 1.0 a) a (* b b))) (cbrt (fma (- 1.0 a) a (* b b))))
1.0ms
(cbrt (fma (- 1.0 a) a (* b b)))
1.0ms
(cbrt (fma (- 1.0 a) a (* b b)))
1.0ms
(cbrt (fma (- 1.0 a) a (* b b)))

series2.0s

Counts
4 → 12
Calls
4 calls:
476.0ms
(* (cbrt (fma (- 1.0 a) a (* b b))) (cbrt (fma (- 1.0 a) a (* b b))))
480.0ms
(cbrt (fma (- 1.0 a) a (* b b)))
505.0ms
(cbrt (fma (- 1.0 a) a (* b b)))
492.0ms
(cbrt (fma (- 1.0 a) a (* b b)))

simplify4.1s

Counts
93 → 93
Iterations
IterNodes
done5001
34290
2862
1258
0111

prune959.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize99.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (fma (* b b) 3.0 (* (fma (- 1.0 a) a (* b b)) a))) (cbrt (fma (* b b) 3.0 (* (fma (- 1.0 a) a (* b b)) a))))
10.7b
(cbrt (fma (* b b) 3.0 (* (fma (- 1.0 a) a (* b b)) a)))
10.7b
(cbrt (fma (* b b) 3.0 (* (fma (- 1.0 a) a (* b b)) a)))
10.7b
(cbrt (fma (* b b) 3.0 (* (fma (- 1.0 a) a (* b b)) a)))

rewrite33.0ms

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:
25.0ms
(* (cbrt (fma (* b b) 3.0 (* (fma (- 1.0 a) a (* b b)) a))) (cbrt (fma (* b b) 3.0 (* (fma (- 1.0 a) a (* b b)) a))))
1.0ms
(cbrt (fma (* b b) 3.0 (* (fma (- 1.0 a) a (* b b)) a)))
1.0ms
(cbrt (fma (* b b) 3.0 (* (fma (- 1.0 a) a (* b b)) a)))
1.0ms
(cbrt (fma (* b b) 3.0 (* (fma (- 1.0 a) a (* b b)) a)))

series1.5s

Counts
4 → 12
Calls
4 calls:
437.0ms
(* (cbrt (fma (* b b) 3.0 (* (fma (- 1.0 a) a (* b b)) a))) (cbrt (fma (* b b) 3.0 (* (fma (- 1.0 a) a (* b b)) a))))
343.0ms
(cbrt (fma (* b b) 3.0 (* (fma (- 1.0 a) a (* b b)) a)))
355.0ms
(cbrt (fma (* b b) 3.0 (* (fma (- 1.0 a) a (* b b)) a)))
351.0ms
(cbrt (fma (* b b) 3.0 (* (fma (- 1.0 a) a (* b b)) a)))

simplify1.7s

Counts
93 → 93
Iterations
IterNodes
done5001
21264
1370
0149

prune820.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize66.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (pow (fma b b (* a a)) 2.0)) (cbrt (pow (fma b b (* a a)) 2.0)))
19.8b
(cbrt (pow (fma b b (* a a)) 2.0))
19.8b
(cbrt (pow (fma b b (* a a)) 2.0))
19.8b
(cbrt (pow (fma b b (* a a)) 2.0))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
73×cbrt-prod
46×add-sqr-sqrt
29×unpow-prod-down
22×*-un-lft-identity add-cube-cbrt
16×unswap-sqr
15×sqr-pow
11×pow1
10×swap-sqr associate-*r* associate-*l*
9×pow1/3
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 117
Calls
4 calls:
29.0ms
(* (cbrt (pow (fma b b (* a a)) 2.0)) (cbrt (pow (fma b b (* a a)) 2.0)))
3.0ms
(cbrt (pow (fma b b (* a a)) 2.0))
2.0ms
(cbrt (pow (fma b b (* a a)) 2.0))
2.0ms
(cbrt (pow (fma b b (* a a)) 2.0))

series801.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (cbrt (pow (fma b b (* a a)) 2.0)) (cbrt (pow (fma b b (* a a)) 2.0)))
183.0ms
(cbrt (pow (fma b b (* a a)) 2.0))
215.0ms
(cbrt (pow (fma b b (* a a)) 2.0))
200.0ms
(cbrt (pow (fma b b (* a a)) 2.0))

simplify1.1s

Counts
129 → 129
Iterations
IterNodes
done5001
2994
1242
0122

prune843.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes313.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done21
121
019

end0.0ms

sample2.5s

Algorithm
intervals
Results
2.1s20448×body80valid