Details

Time bar (total: 10.7s)

sample125.0ms

Algorithm
intervals
Results
47.0ms825×body80nan
18.0ms293×body80valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03910
11118
24648
316548
450018

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

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:
8.0ms
(+ (fma x (log y) z) (+ t a))
0.0ms
(fma i y (fma (log c) (- b 0.5) (+ (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:
87.0ms
(+ (fma x (log y) z) (+ t a))
681.0ms
(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
360.0ms
(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
55.0ms
(fma x (log y) z)

simplify75.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0209399
1681352
23384347
35001346

prune283.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (log y)) (+ t (+ z a)))
0.0b
(fma i y (fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a)))))
0.1b
(fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a))))
0.3b
(* x (log y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
12×add-sqr-sqrt log-prod
10×add-cube-cbrt *-un-lft-identity
7×pow1
6×add-exp-log distribute-rgt-in associate-+l+ distribute-lft-in sum-log add-cbrt-cube
4×expm1-log1p-u associate-*r* log1p-expm1-u
3×associate-*l*
2×fma-udef
1×+-commutative associate-+r+ fma-def flip3-+ pow-prod-down prod-exp log-pow *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 70
Calls
4 calls:
27.0ms
(+ (* x (log y)) (+ t (+ z a)))
0.0ms
(fma i y (fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a)))))
0.0ms
(fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a))))
4.0ms
(* x (log y))

series1.1s

Counts
4 → 12
Calls
4 calls:
83.0ms
(+ (* x (log y)) (+ t (+ z a)))
667.0ms
(fma i y (fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a)))))
358.0ms
(fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a))))
38.0ms
(* x (log y))

simplify36.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0299534
11079465
25001455

prune346.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite10.0ms

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 y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series753.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(* (cbrt y) (cbrt y))
179.0ms
(cbrt y)
181.0ms
(cbrt y)
186.0ms
(cbrt y)

simplify91.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune504.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (fma i y (fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a)))))) (cbrt (fma i y (fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a)))))))
0.6b
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a))))))
0.6b
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a))))))
0.6b
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a))))))

rewrite10.0ms

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

series959.0ms

Counts
4 → 12
Calls
4 calls:
332.0ms
(* (cbrt (fma i y (fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a)))))) (cbrt (fma i y (fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a)))))))
210.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a))))))
210.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a))))))
208.0ms
(cbrt (fma i y (fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a))))))

simplify119.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
02731695
18821545
240061387
350021384

prune448.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes606.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0229
1229

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.5s27738×body80nan
581.0ms9204×body80valid
1.0ms2×body1280valid
1.0ms2×body640valid