Details

Time bar (total: 35.1s)

sample247.0ms

Algorithm
intervals
Results
77.0ms885×body80nan
48.0ms298×body80valid

simplify1.7s

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

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

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)

rewrite9.0ms

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:
7.0ms
(+ (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)

series947.0ms

Counts
3 → 9
Calls
3 calls:
697.0ms
(+ (fma i y (+ t z)) (fma (- b 0.5) (log c) (fma (log y) x a)))
150.0ms
(fma (- b 0.5) (log c) (fma (log y) x a))
100.0ms
(fma (log y) x a)

simplify2.0s

Counts
48 → 48
Iterations
IterNodes
done5000
33885
2624
1218
098

prune658.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

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)

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

series1.6s

Counts
3 → 9
Calls
3 calls:
1.1s
(+ (fma (- b 0.5) (log c) (fma i y (+ z t))) (fma (log y) x a))
320.0ms
(fma (- b 0.5) (log c) (fma i y (+ z t)))
149.0ms
(fma (log y) x a)

simplify2.7s

Counts
48 → 48
Iterations
IterNodes
done5000
33494
2505
1173
084

prune661.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
8×add-log-exp
6×add-sqr-sqrt fma-def add-cube-cbrt
5×fma-udef
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u
2×+-commutative associate-+l+ sum-log flip3-+ flip-+ distribute-lft-out
1×associate-+r+
Counts
4 → 57
Calls
4 calls:
5.0ms
(+ (fma (log c) (- b 0.5) z) (fma i y t))
11.0ms
(+ (fma x (log y) (+ (fma (log c) (- b 0.5) z) (fma i y t))) a)
0.0ms
(fma x (log y) (+ (fma (log c) (- b 0.5) z) (fma i y t)))
0.0ms
(fma (log c) (- b 0.5) z)

series2.2s

Counts
4 → 12
Calls
4 calls:
336.0ms
(+ (fma (log c) (- b 0.5) z) (fma i y t))
1.1s
(+ (fma x (log y) (+ (fma (log c) (- b 0.5) z) (fma i y t))) a)
621.0ms
(fma x (log y) (+ (fma (log c) (- b 0.5) z) (fma i y t)))
86.0ms
(fma (log c) (- b 0.5) z)

simplify3.1s

Counts
69 → 69
Iterations
IterNodes
done5000
34992
2715
1255
0111

prune631.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize81.0ms

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

rewrite12.0ms

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)))
9.0ms
(* (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:
1.1s
(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)))
1.0s
(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))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))))

simplify1.7s

Counts
93 → 93
Iterations
IterNodes
done5001
21154
1360
0147

prune1.1s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes1.7s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done19
119
017

end0.0ms

sample9.6s

Algorithm
intervals
Results
4.3s27695×body80nan
1.6s9186×body80valid
1.0ms3×body320valid
1.0ms1×body640valid