Details

Time bar (total: 35.5s)

sample98.0ms

Algorithm
intervals
Results
61.0ms711×body80valid

simplify6.8s

Counts
1 → 1
Iterations
IterNodes
done5009
73801
6968
5271
4143
386
250
126
012

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite7.0ms

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 b b (* a a))
1.0ms
(fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0))
5.0ms
(pow (fma b b (* a a)) 2.0)

series436.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(fma b b (* a a))
149.0ms
(fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0))
218.0ms
(pow (fma b b (* a a)) 2.0)

simplify5.9s

Counts
48 → 48
Iterations
IterNodes
done5000
44824
31188
2355
1153
076

prune475.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize107.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0))) (cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0))))
13.9b
(cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
13.9b
(cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
13.9b
(cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))

rewrite44.0ms

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:
34.0ms
(* (cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0))) (cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0))))
2.0ms
(cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
2.0ms
(cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
2.0ms
(cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))

series1.6s

Counts
4 → 12
Calls
4 calls:
446.0ms
(* (cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0))) (cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0))))
401.0ms
(cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
365.0ms
(cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
389.0ms
(cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))

simplify3.0s

Counts
93 → 93
Iterations
IterNodes
done5001
31422
2522
1225
0106

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize182.0ms

Local error

Found 4 expressions with local error:

13.2b
(sqrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
13.2b
(sqrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
13.9b
(cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
13.9b
(cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod sqrt-prod
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 56
Calls
4 calls:
3.0ms
(sqrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
3.0ms
(sqrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
2.0ms
(cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
2.0ms
(cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))

series1.5s

Counts
4 → 12
Calls
4 calls:
335.0ms
(sqrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
342.0ms
(sqrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
427.0ms
(cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
435.0ms
(cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))

simplify3.2s

Counts
68 → 68
Iterations
IterNodes
done5001
31356
2428
1166
082

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize182.0ms

Local error

Found 4 expressions with local error:

13.2b
(sqrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
13.2b
(sqrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
13.9b
(cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
13.9b
(cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod sqrt-prod
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 56
Calls
4 calls:
3.0ms
(sqrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
4.0ms
(sqrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
2.0ms
(cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
5.0ms
(cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))

series1.5s

Counts
4 → 12
Calls
4 calls:
328.0ms
(sqrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
330.0ms
(sqrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
378.0ms
(cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))
465.0ms
(cbrt (fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0)))

simplify3.3s

Counts
68 → 68
Iterations
IterNodes
done5001
31356
2428
1166
082

prune850.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes459.0ms

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
done12
112
011

end0.0ms

sample3.6s

Algorithm
intervals
Results
2.9s20252×body80valid