Details

Time bar (total: 23.9s)

sample99.0ms

Algorithm
intervals
Results
60.0ms680×body80valid

simplify5.9s

Counts
1 → 1
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
01217
12616
25015
38615
415115
530315
693215
7396115
done500115

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma a a (* b b))
0.0b
(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
0.3b
(pow (fma a a (* b b)) 2.0)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log
3×expm1-log1p-u unpow-prod-down pow-unpow add-cbrt-cube log1p-expm1-u add-log-exp
2×fma-udef
1×pow-to-exp pow-pow pow-exp sqr-pow
Counts
3 → 39
Calls
3 calls:
0.0ms
(fma a a (* b b))
0.0ms
(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
3.0ms
(pow (fma a a (* b b)) 2.0)

series284.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(fma a a (* b b))
96.0ms
(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
144.0ms
(pow (fma a a (* b b)) 2.0)

simplify2.9s

Counts
48 → 48
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
079580
1148561
2367493
31085488
43754485
done5000485

prune267.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))) (cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))))
13.8b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
13.8b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
13.8b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

rewrite29.0ms

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:
21.0ms
(* (cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))) (cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))))
2.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
2.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
2.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
311.0ms
(* (cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))) (cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))))
272.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
290.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
307.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

simplify1.4s

Counts
93 → 93
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01062580
12082420
25302217
314491816
done50011778

prune508.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

13.8b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
13.8b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
13.8b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
13.8b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
1.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
1.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
1.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
295.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
290.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
275.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
318.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

simplify2.2s

Counts
64 → 64
Iterations

Useful iterations: 4 (973.0ms)

IterNodesCost
0551376
11101360
22341244
36391136
423091112
done50001112

prune533.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

13.8b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
13.8b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
13.8b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
13.8b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
2.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
2.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
2.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

series1.3s

Counts
4 → 12
Calls
4 calls:
292.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
344.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
333.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
362.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

simplify2.3s

Counts
64 → 64
Iterations

Useful iterations: 4 (942.0ms)

IterNodesCost
0551376
11101360
22341244
36391136
423091112
done50001112

prune348.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes153.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11215
done1215

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.1s20632×body80valid