Details

Time bar (total: 13.9s)

sample139.0ms

Algorithm
intervals
Results
53.0ms870×body80nan
20.0ms300×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03910
11118
24648
316548
450018

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
8×add-log-exp
4×add-sqr-sqrt add-cube-cbrt
3×pow1 add-exp-log expm1-log1p-u fma-def sum-log add-cbrt-cube fma-udef log1p-expm1-u distribute-lft-out
1×+-commutative associate-+l+ associate-+r+ flip3-+ flip-+
Counts
3 → 41
Calls
3 calls:
8.0ms
(+ (fma x (log y) z) (+ t a))
0.0ms
(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
0.0ms
(fma x (log y) z)

series483.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(+ (fma x (log y) z) (+ t a))
349.0ms
(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
52.0ms
(fma x (log y) z)

simplify70.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0187278
1634250
23135246
35002245

prune211.0ms

Filtered
50 candidates to 42 candidates (84.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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:
6.0ms
(* (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)))))
0.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
0.0ms
(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))))

series2.7s

Counts
4 → 12
Calls
4 calls:
1.1s
(* (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)))))
533.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
535.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
529.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))

simplify49.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03801678
113571552
250021427

prune482.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
0.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
0.0ms
(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))))

series2.2s

Counts
4 → 12
Calls
4 calls:
569.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
552.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
548.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
542.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))

simplify50.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
01811004
1465932
21739904
35002896

prune436.0ms

Filtered
64 candidates to 60 candidates (93.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize35.0ms

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
0.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
0.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
0.0ms
(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))))

series2.2s

Counts
4 → 12
Calls
4 calls:
539.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
581.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
533.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
537.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))

simplify55.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
01811004
1465932
21739904
35002896

prune470.0ms

Filtered
64 candidates to 60 candidates (93.8%)
Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes539.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198
1198

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.4s27631×body80nan
553.0ms9180×body80valid
1.0ms2×body1280valid
0.0ms2×body160valid