Details

Time bar (total: 10.5s)

sample125.0ms

Algorithm
intervals
Results
46.0ms844×body80nan
22.0ms290×body80valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03910
11118
24648
316548
450018

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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

rewrite10.0ms

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))))
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)

series1.2s

Counts
4 → 12
Calls
4 calls:
688.0ms
(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
83.0ms
(+ (fma x (log y) z) (+ t a))
384.0ms
(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
56.0ms
(fma x (log y) z)

simplify78.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0209399
1681352
23384347
35001346

prune279.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

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 i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))) (cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))))
0.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
0.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
1.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))

series932.0ms

Counts
4 → 12
Calls
4 calls:
317.0ms
(* (cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))) (cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))))
205.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
204.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
206.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))

simplify121.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (107.0ms)

IterNodesCost
02701553
18691417
239651275
350011272

prune453.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
0.5b
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
0.5b
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
0.5b
(cbrt (fma i y (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 i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
0.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
1.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
1.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))

series812.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
205.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
202.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
202.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))

simplify126.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (33.0ms)

IterNodesCost
0144844
1331768
21127744
34342736
45001736

prune430.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
0.5b
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
0.5b
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
0.5b
(cbrt (fma i y (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 i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
0.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
1.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
1.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))

series821.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
204.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
204.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
204.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))

simplify128.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
0144844
1331768
21127744
34342736
45001736

prune473.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes579.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198
1198

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.5s27056×body80nan
615.0ms9196×body80valid
1.0ms1×body1280valid
1.0ms2×body640valid
0.0ms1×body320valid
0.0ms1×body160valid