Details

Time bar (total: 15.9s)

sample132.0ms

Algorithm
intervals
Results
52.0ms918×body80nan
18.0ms286×body80valid
0.0ms1×body640valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03910
11118
24648
316548
450018

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
9×add-log-exp
5×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube fma-udef log1p-expm1-u
3×fma-def sum-log distribute-lft-out
1×+-commutative associate-+l+ associate-+r+ flip3-+ flip-+
Counts
4 → 51
Calls
4 calls:
0.0ms
(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
9.0ms
(+ (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)

series1.3s

Counts
4 → 12
Calls
4 calls:
854.0ms
(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
81.0ms
(+ (fma x (log y) z) (+ t a))
337.0ms
(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
50.0ms
(fma x (log y) z)

simplify74.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0209399
1681352
23384347
35001346

prune274.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (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:
5.0ms
(* (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))))
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))))

series2.7s

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)))))
549.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
544.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
543.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))

simplify50.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03801678
113571552
250021427

prune491.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×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 → 55
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 (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))

series2.2s

Counts
4 → 12
Calls
4 calls:
545.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
543.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
547.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
538.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))

simplify77.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
02861083
17841008
23031984
35002962

prune488.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize40.0ms

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
9×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 → 56
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 (cbrt (* (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)))))))
1.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))

series2.8s

Counts
4 → 12
Calls
4 calls:
534.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
549.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
1.1s
(cbrt (cbrt (* (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)))))))
549.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04521341
114261243
250021219

prune543.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes711.0ms

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

sample3.8s

Algorithm
intervals
Results
1.5s27556×body80nan
585.0ms9195×body80valid
1.0ms2×body640valid
0.0ms1×body160valid