Details

Time bar (total: 20.6s)

sample133.0ms

Algorithm
intervals
Results
112.0ms592×body80valid

simplify786.0ms

Counts
1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (fma b b (* a a)) (fma b b (* a a)) -1)
0.0b
(+ (* -12 a) 4)
0.0b
(fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1))
0.0b
(fma (* b b) (+ (* -12 a) 4) (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u
3×fma-udef
1×+-commutative sum-log fma-def flip3-+ flip-+
Counts
4 → 48
Calls
4 calls:
Slowest
13.0ms
(+ (* -12 a) 4)
1.0ms
(fma (fma b b (* a a)) (fma b b (* a a)) -1)
0.0ms
(fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1))
0.0ms
(fma (* b b) (+ (* -12 a) 4) (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

series444.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
156.0ms
(fma (* b b) (+ (* -12 a) 4) (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
126.0ms
(fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1))
103.0ms
(fma (fma b b (* a a)) (fma b b (* a a)) -1)
59.0ms
(+ (* -12 a) 4)

simplify759.0ms

Counts
60 → 60

prune901.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b
(* (cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1))) (cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1))))

rewrite16.0ms

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:
Slowest
13.0ms
(* (cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1))) (cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1))))
1.0ms
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
1.0ms
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
1.0ms
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
321.0ms
(* (cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1))) (cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1))))
253.0ms
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
233.0ms
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
205.0ms
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

simplify2.3s

Counts
97 → 97

prune1.6s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize102.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×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 → 56
Calls
4 calls:
Slowest
1.0ms
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
1.0ms
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
1.0ms
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
1.0ms
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

series905.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
252.0ms
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
228.0ms
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
220.0ms
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
205.0ms
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

simplify771.0ms

Counts
68 → 68

prune1.4s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.1b

localize91.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×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 → 56
Calls
4 calls:
Slowest
2.0ms
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
2.0ms
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
2.0ms
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
1.0ms
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

series919.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
247.0ms
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
230.0ms
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
227.0ms
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
214.0ms
(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

simplify669.0ms

Counts
68 → 68

prune1.2s

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.1b

regimes307.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample6.2s

Algorithm
intervals
Results
5.7s20613×body80valid