Details

Time bar (total: 10.6s)

sample125.0ms

Algorithm
intervals
Results
50.0ms873×body80nan
18.0ms289×body80valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03910
11118
24648
316548
450018

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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)

series1.1s

Counts
4 → 12
Calls
4 calls:
661.0ms
(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
78.0ms
(+ (fma x (log y) z) (+ t a))
340.0ms
(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
52.0ms
(fma x (log y) z)

simplify75.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0209399
1681352
23384347
35001346

prune305.0ms

Pruning

4 alts after pruning (4 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) (+ (* x (log y)) (+ t (+ z a)))))
0.0b
(+ (* x (log y)) (+ t (+ z a)))
0.0b
(fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a))))
0.3b
(* x (log y))

rewrite29.0ms

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:
0.0ms
(fma i y (fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a)))))
23.0ms
(+ (* 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))

series1.2s

Counts
4 → 12
Calls
4 calls:
675.0ms
(fma i y (fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a)))))
83.0ms
(+ (* x (log y)) (+ t (+ z a)))
354.0ms
(fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a))))
42.0ms
(* x (log y))

simplify45.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0299534
11079465
25001455

prune391.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
12×distribute-rgt-in associate-+l+ distribute-lft-in sqrt-prod
8×pow1
6×add-exp-log associate-*r* add-cbrt-cube add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-*l* log-pow fma-udef
1×+-commutative associate-+r+ fma-def sqrt-pow1 flip3-+ pow1/2 pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 82
Calls
4 calls:
5.0ms
(+ (* x (log (sqrt y))) (fma (log (sqrt y)) x (+ t (+ z a))))
0.0ms
(fma (log c) (- b 0.5) (+ (* x (log (sqrt y))) (fma (log (sqrt y)) x (+ t (+ z a)))))
0.0ms
(fma (log (sqrt y)) x (+ t (+ z a)))
5.0ms
(* x (log (sqrt y)))

series1.0s

Counts
4 → 12
Calls
4 calls:
214.0ms
(+ (* x (log (sqrt y))) (fma (log (sqrt y)) x (+ t (+ z a))))
519.0ms
(fma (log c) (- b 0.5) (+ (* x (log (sqrt y))) (fma (log (sqrt y)) x (+ t (+ z a)))))
212.0ms
(fma (log (sqrt y)) x (+ t (+ z a)))
87.0ms
(* x (log (sqrt y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0342781
11163711
25001681

prune476.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.7b
(cbrt y)
0.7b
(cbrt y)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative fma-def flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 111
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
13.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series563.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* x (log (cbrt y)))
101.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
180.0ms
(cbrt y)
189.0ms
(cbrt y)

simplify55.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0384753
11636640
25001570

prune714.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes450.0ms

Accuracy

0% (0.1b 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
02413
12413

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.6s28234×body80nan
594.0ms9237×body80valid
0.0ms1×body640valid
0.0ms1×body320valid
0.0ms1×body160valid