Details

Time bar (total: 26.9s)

sample63.0ms

Algorithm
intervals
Results
38.0ms653×body80valid

simplify6.2s

Counts
1 → 1
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
01217
12616
25015
38615
415115
530315
693215
7396115
done500115

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

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)

rewrite18.0ms

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:
1.0ms
(fma a a (* b b))
1.0ms
(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
15.0ms
(pow (fma a a (* b b)) 2.0)

series306.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(fma a a (* b b))
99.0ms
(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
169.0ms
(pow (fma a a (* b b)) 2.0)

simplify2.9s

Counts
48 → 48
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
079580
1148561
2367493
31085488
43754485
done5000485

prune215.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (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))))
16.2b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
16.2b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
16.2b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

rewrite25.0ms

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:
18.0ms
(* (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))))
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)))

series1.3s

Counts
4 → 12
Calls
4 calls:
358.0ms
(* (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))))
286.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
312.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
310.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

simplify1.5s

Counts
93 → 93
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01062580
12082420
25302217
314491816
done50011778

prune484.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

15.5b
(sqrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
16.2b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
16.2b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
16.2b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
5×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3 sqrt-prod
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 54
Calls
4 calls:
3.0ms
(sqrt (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:
236.0ms
(sqrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
288.0ms
(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)))
371.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

simplify3.4s

Counts
66 → 66
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
0821350
11651302
23871202
310781121
444101103
done50011103

prune535.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize93.0ms

Local error

Found 4 expressions with local error:

15.5b
(sqrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
16.2b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
16.2b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
16.2b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
5×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3 sqrt-prod
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 54
Calls
4 calls:
3.0ms
(sqrt (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:
240.0ms
(sqrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
267.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
310.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
349.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

simplify3.7s

Counts
66 → 66
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
0821350
11651302
23871202
310781121
444101103
done50011103

prune502.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes239.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11215
done1215

end0.0ms

sample3.0s

Algorithm
intervals
Results
2.2s20825×body80valid