Details

Time bar (total: 11.8s)

sample132.0ms

Algorithm
intervals
Results
52.0ms900×body80nan
19.0ms299×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03910
11118
24648
316548
450018

prune11.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

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)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
8×add-log-exp
4×add-sqr-sqrt add-cube-cbrt
3×pow1 add-exp-log expm1-log1p-u fma-def sum-log add-cbrt-cube fma-udef log1p-expm1-u distribute-lft-out
1×+-commutative associate-+l+ associate-+r+ flip3-+ flip-+
Counts
3 → 41
Calls
3 calls:
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)

series488.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(+ (fma x (log y) z) (+ t a))
349.0ms
(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
55.0ms
(fma x (log y) z)

simplify70.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0187278
1634250
23135246
35002245

prune225.0ms

Filtered
50 candidates to 42 candidates (84.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
36×prod-diff
35×add-sqr-sqrt
31×add-cube-cbrt
23×associate-+l+
22×distribute-rgt-in distribute-lft-in
18×add-log-exp
9×sum-log
7×pow1
6×add-exp-log associate-*r/ add-cbrt-cube
5×associate-*r*
4×expm1-log1p-u sub-neg fma-def flip3-+ associate-*l* frac-add flip-+ log1p-expm1-u
3×flip3-- flip-- distribute-lft-out
2×+-commutative associate-+r+ fma-udef
1×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 121
Calls
4 calls:
31.0ms
(+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))
8.0ms
(+ (fma x (log y) z) (+ t a))
0.0ms
(fma x (log y) z)
13.0ms
(* (log c) (- b 0.5))

series633.0ms

Counts
4 → 12
Calls
4 calls:
398.0ms
(+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))
84.0ms
(+ (fma x (log y) z) (+ t a))
55.0ms
(fma x (log y) z)
96.0ms
(* (log c) (- b 0.5))

simplify69.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05951187
12567952
25003947

prune522.0ms

Filtered
133 candidates to 90 candidates (67.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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)))

rewrite154.0ms

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:
4.0ms
(cbrt (- b 0.5))
25.0ms
(* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5))))
96.0ms
(* (* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5)))) (cbrt (- b 0.5)))
21.0ms
(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))

series554.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(cbrt (- b 0.5))
213.0ms
(* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5))))
111.0ms
(* (* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5)))) (cbrt (- b 0.5)))
128.0ms
(* (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

prune755.0ms

Filtered
171 candidates to 106 candidates (62.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite397.0ms

Algorithm
rewrite-expression-head
Rules
4356×cbrt-div
2200×frac-times
1760×associate-*r/
1476×flip3-- flip--
788×associate-*l/
88×cbrt-prod
82×add-sqr-sqrt
74×*-un-lft-identity
34×swap-sqr
32×pow1 add-cube-cbrt
28×associate-*r* associate-*l*
24×pow1/3
18×distribute-lft-out--
13×unswap-sqr
12×add-exp-log difference-of-squares
8×pow-prod-down pow-sqr pow-prod-up
4×pow2 expm1-log1p-u pow-plus prod-exp *-commutative add-cbrt-cube cbrt-unprod log1p-expm1-u add-log-exp
Counts
4 → 935
Calls
4 calls:
109.0ms
(* (cbrt (* (* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5)))) (cbrt (- b 0.5)))) (cbrt (* (* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5)))) (cbrt (- b 0.5)))))
21.0ms
(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))
24.0ms
(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))
21.0ms
(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))

series668.0ms

Counts
4 → 12
Calls
4 calls:
279.0ms
(* (cbrt (* (* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5)))) (cbrt (- b 0.5)))) (cbrt (* (* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5)))) (cbrt (- b 0.5)))))
126.0ms
(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))
132.0ms
(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))
130.0ms
(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))

simplify366.0ms

Algorithm
egg-herbie
Counts
947 → 947
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
0181439800
1500139661

prune2.0s

Filtered
947 candidates to 200 candidates (21.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes722.0ms

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
1.5s27293×body80nan
591.0ms9149×body80valid
1.0ms1×body1280valid
0.0ms2×body320valid
0.0ms1×body160valid