Details

Time bar (total: 15.2s)

sample200.0ms

Algorithm
intervals
Results
101.0ms906×body80nan
34.0ms292×body80valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03910
11118
24648
316548
450018

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
0.0ms
(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
0.0ms
(fma x (log y) z)

series90.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
11.0ms
(fma x (log y) z)

simplify30.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
095162
1221139
2800135
35001132

prune343.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
36×prod-diff
33×add-sqr-sqrt
31×*-un-lft-identity
29×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
12×add-log-exp
6×pow1 associate-*r/ sum-log
5×add-exp-log associate-*r* add-cbrt-cube
4×sub-neg associate-*l* frac-add
3×expm1-log1p-u flip3-- flip3-+ flip-- flip-+ log1p-expm1-u
1×+-commutative associate-+r+ fma-def pow-prod-down prod-exp log-pow *-commutative cbrt-unprod fma-udef distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 100
Calls
3 calls:
30.0ms
(+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))
0.0ms
(fma x (log y) z)
12.0ms
(* (log c) (- b 0.5))

series104.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))
11.0ms
(fma x (log y) z)
12.0ms
(* (log c) (- b 0.5))

simplify67.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05731075
12493841
25001836

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- b 0.5))
0.4b
(* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5))))
0.4b
(* (* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5)))) (cbrt (- b 0.5)))
0.7b
(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-div
44×associate-*r/
40×flip3-- flip--
38×cbrt-prod
37×add-sqr-sqrt
36×frac-times
34×*-un-lft-identity
26×pow1
20×add-exp-log
18×associate-*l/
17×associate-*r*
16×add-cube-cbrt
13×associate-*l*
11×pow-prod-down add-cbrt-cube
10×swap-sqr prod-exp cbrt-unprod
8×distribute-lft-out--
7×pow1/3
6×difference-of-squares
5×unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus log-pow
Counts
4 → 159
Calls
4 calls:
2.0ms
(cbrt (- b 0.5))
24.0ms
(* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5))))
90.0ms
(* (* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5)))) (cbrt (- b 0.5)))
20.0ms
(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))

series68.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(cbrt (- b 0.5))
33.0ms
(* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5))))
13.0ms
(* (* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5)))) (cbrt (- b 0.5)))
13.0ms
(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))

simplify92.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
08321907
131471727
250021636

prune2.2s

Pruning

7 alts after pruning (5 fresh and 2 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))))
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))))

series956.0ms

Counts
4 → 12
Calls
4 calls:
408.0ms
(* (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)))))
180.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
183.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
185.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))

simplify53.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03801678
113571552
250021427

prune1.5s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes2.1s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0229
1229

end0.0ms

sample5.7s

Algorithm
intervals
Results
3.0s27444×body80nan
1.1s9215×body80valid
1.0ms1×body1280valid
1.0ms2×body320valid