Details

Time bar (total: 41.7s)

sample232.0ms

Algorithm
intervals
Results
115.0ms885×body80nan
30.0ms298×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
020509
139484
2109434
3453434
41866434
done5000434

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma y i (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a)))
0.0b
(+ (fma x (log y) z) t)
0.0b
(fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))
0.2b
(fma x (log y) z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-log-exp
5×add-sqr-sqrt add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log fma-udef log1p-expm1-u
3×fma-def
1×+-commutative associate-+l+ sum-log flip3-+ flip-+ distribute-lft-out
Counts
4 → 48
Calls
4 calls:
1.0ms
(fma y i (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a)))
7.0ms
(+ (fma x (log y) z) t)
0.0ms
(fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))
0.0ms
(fma x (log y) z)

series1.7s

Counts
4 → 12
Calls
4 calls:
1.0s
(fma y i (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a)))
64.0ms
(+ (fma x (log y) z) t)
546.0ms
(fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))
86.0ms
(fma x (log y) z)

simplify2.3s

Counts
60 → 60
Iterations

Useful iterations: done (2.3s)

IterNodesCost
09717394
120716846
259916691
3391516531
done500016506

prune538.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize68.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a)))
0.5b
(cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a)))
0.5b
(cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a)))
0.6b
(* (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))) (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))))

rewrite13.0ms

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:
1.0ms
(cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a)))
1.0ms
(cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a)))
1.0ms
(cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a)))
9.0ms
(* (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))) (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))))

series3.6s

Counts
4 → 12
Calls
4 calls:
783.0ms
(cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a)))
741.0ms
(cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a)))
720.0ms
(cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a)))
1.4s
(* (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))) (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))))

simplify2.6s

Counts
93 → 93
Iterations

Useful iterations: done (2.6s)

IterNodesCost
015659399
141555161
2165554546
done500053771

prune1.2s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize178.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a)))
0.5b
(cbrt (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))))
0.6b
(* (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))) (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))))
0.6b
(* (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))) (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
44×cbrt-prod
39×add-sqr-sqrt
23×*-un-lft-identity add-cube-cbrt
18×pow1
14×pow1/3
12×swap-sqr associate-*r* associate-*l*
8×add-exp-log unswap-sqr
4×expm1-log1p-u add-cbrt-cube pow-prod-down pow-sqr pow-prod-up log1p-expm1-u add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 113
Calls
4 calls:
1.0ms
(cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a)))
2.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))))
18.0ms
(* (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))) (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))))
19.0ms
(* (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))) (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))))

series4.7s

Counts
4 → 12
Calls
4 calls:
723.0ms
(cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a)))
750.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))))
1.6s
(* (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))) (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))))
1.6s
(* (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))) (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))))

simplify2.4s

Counts
125 → 125
Iterations

Useful iterations: done (2.4s)

IterNodesCost
020081525
152076348
2202975692
done500174767

prune1.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize190.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a)))
0.5b
(cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a)))
0.5b
(cbrt (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))))
0.6b
(* (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))) (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
31×cbrt-prod
24×add-sqr-sqrt
16×*-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 → 84
Calls
4 calls:
1.0ms
(cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a)))
1.0ms
(cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a)))
1.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))))
9.0ms
(* (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))) (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))))

series4.0s

Counts
4 → 12
Calls
4 calls:
757.0ms
(cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a)))
877.0ms
(cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a)))
783.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))))
1.5s
(* (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))) (cbrt (fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))))

simplify2.6s

Counts
96 → 96
Iterations

Useful iterations: done (2.6s)

IterNodesCost
020063650
152059868
2202959147
done500158352

prune1.2s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes1.7s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
017434
119434
done19434

end0.0ms

sample8.9s

Algorithm
intervals
Results
5.1s27695×body80nan
1.3s9186×body80valid
1.0ms3×body320valid
1.0ms1×body640valid