Details

Time bar (total: 36.5s)

sample293.0ms

Algorithm
intervals
Results
120.0ms984×body80nan
31.0ms305×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5000
41866
3453
2109
139
020

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (fma i y (+ t z)) (fma (- b 0.5) (log c) (fma (log y) x a)))
0.1b
(fma (- b 0.5) (log c) (fma (log y) x a))
0.1b
(fma (log y) x a)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity
5×add-log-exp
4×add-sqr-sqrt add-cube-cbrt fma-udef
3×expm1-log1p-u pow1 fma-def add-cbrt-cube add-exp-log log1p-expm1-u
1×+-commutative associate-+l+ associate-+r+ sum-log flip3-+ flip-+ distribute-lft-out
Counts
3 → 39
Calls
3 calls:
10.0ms
(+ (fma i y (+ t z)) (fma (- b 0.5) (log c) (fma (log y) x a)))
0.0ms
(fma (- b 0.5) (log c) (fma (log y) x a))
0.0ms
(fma (log y) x a)

series876.0ms

Counts
3 → 9
Calls
3 calls:
612.0ms
(+ (fma i y (+ t z)) (fma (- b 0.5) (log c) (fma (log y) x a)))
184.0ms
(fma (- b 0.5) (log c) (fma (log y) x a))
79.0ms
(fma (log y) x a)

simplify2.2s

Counts
48 → 48
Iterations
IterNodes
done5000
33885
2624
1218
098

prune526.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (fma (- b 0.5) (log c) (fma i y (+ z t))) (fma (log y) x a))
0.1b
(fma (- b 0.5) (log c) (fma i y (+ z t)))
0.1b
(fma (log y) x a)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity
5×add-log-exp
4×add-sqr-sqrt add-cube-cbrt fma-udef
3×expm1-log1p-u pow1 fma-def add-cbrt-cube add-exp-log log1p-expm1-u
1×+-commutative associate-+l+ associate-+r+ sum-log flip3-+ flip-+ distribute-lft-out
Counts
3 → 39
Calls
3 calls:
8.0ms
(+ (fma (- b 0.5) (log c) (fma i y (+ z t))) (fma (log y) x a))
0.0ms
(fma (- b 0.5) (log c) (fma i y (+ z t)))
1.0ms
(fma (log y) x a)

series1.5s

Counts
3 → 9
Calls
3 calls:
1.1s
(+ (fma (- b 0.5) (log c) (fma i y (+ z t))) (fma (log y) x a))
305.0ms
(fma (- b 0.5) (log c) (fma i y (+ z t)))
90.0ms
(fma (log y) x a)

simplify2.2s

Counts
48 → 48
Iterations
IterNodes
done5000
33494
2505
1173
084

prune673.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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 (- b 0.5) (log c) (fma (log y) x a)))
1.0ms
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
1.0ms
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
14.0ms
(* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))))

series4.4s

Counts
4 → 12
Calls
4 calls:
1.1s
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
1.0s
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
1.1s
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
1.2s
(* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))))

simplify1.8s

Counts
93 → 93
Iterations
IterNodes
done5001
21154
1360
0147

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize128.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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 (- b 0.5) (log c) (fma (log y) x a)))
1.0ms
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
2.0ms
(cbrt (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))))
16.0ms
(* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))))

series4.3s

Counts
4 → 12
Calls
4 calls:
1.0s
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
1.0s
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
1.1s
(cbrt (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))))
1.2s
(* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))))

simplify1.6s

Counts
96 → 96
Iterations
IterNodes
done5001
21501
1462
0193

prune1.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes1.8s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done19
119
017

end0.0ms

sample10.0s

Algorithm
intervals
Results
3.1s27497×body80nan
1.2s9290×body80valid
2.0ms4×body640valid