Details

Time bar (total: 11.8s)

sample128.0ms

Algorithm
intervals
Results
48.0ms820×body80nan
20.0ms304×body80valid
0.0ms1×body320valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03910
11118
24648
316548
450018

prune14.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.6s

Algorithm
rewrite-expression-head
Rules
38×add-log-exp
25×sum-log
23×*-un-lft-identity
22×add-sqr-sqrt
18×log-prod
16×add-cube-cbrt
10×pow1
9×distribute-rgt-in distribute-lft-in
8×add-exp-log fma-def associate-*r* associate-*l* add-cbrt-cube
6×associate-+r+ associate-*l/
4×expm1-log1p-u flip3-+ frac-add flip-+ log1p-expm1-u
3×flip3-- flip-- distribute-lft-out
2×+-commutative associate-+l+ pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
4 → 111
Calls
4 calls:
309.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
1.2s
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
11.0ms
(* (- b 0.5) (log c))
4.0ms
(* x (log y))

series836.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
511.0ms
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
57.0ms
(* (- b 0.5) (log c))
37.0ms
(* x (log y))

simplify70.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06781061
12790964
25003931

prune488.0ms

Filtered
123 candidates to 89 candidates (72.4%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize25.0ms

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))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite27.0ms

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)))
16.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series552.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* x (log (cbrt y)))
99.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
176.0ms
(cbrt y)
181.0ms
(cbrt y)

simplify54.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0384753
11636640
25001570

prune694.0ms

Filtered
123 candidates to 102 candidates (82.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* 2 (log (cbrt y))))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (* 1 (pow y 1/3)))))
0.6b
(cbrt y)
4.9b
(pow y 1/3)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
50×log-prod
49×distribute-rgt-in distribute-lft-in
27×cbrt-prod
24×add-sqr-sqrt add-cube-cbrt associate-+l+ *-un-lft-identity
10×pow1 add-exp-log
9×add-cbrt-cube
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×unpow-prod-down pow-unpow associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-+r+
1×+-commutative pow-to-exp pow-pow fma-def flip3-+ unpow1/3 pow1/3 associate-*r* pow-exp sum-log *-commutative flip-+ distribute-lft-out sqr-pow
Counts
4 → 118
Calls
4 calls:
10.0ms
(* x (* 2 (log (cbrt y))))
15.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (* 1 (pow y 1/3)))))
0.0ms
(cbrt y)
1.0ms
(pow y 1/3)

series589.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* x (* 2 (log (cbrt y))))
140.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (* 1 (pow y 1/3)))))
177.0ms
(cbrt y)
172.0ms
(pow y 1/3)

simplify62.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0494890
11802730
25001675

prune706.0ms

Filtered
130 candidates to 95 candidates (73.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma x (* 2 (log (cbrt y))) (* x (log (* 1 (pow y 1/3)))))
0.3b
(* x (log (* 1 (pow y 1/3))))
0.6b
(cbrt y)
4.9b
(pow y 1/3)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
8×pow1
7×add-exp-log
6×add-cbrt-cube
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
3×cbrt-prod unpow-prod-down pow-unpow associate-*l*
2×log-prod
1×distribute-rgt-in pow-to-exp pow-pow distribute-lft-in unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp log-pow *-commutative cbrt-unprod fma-udef unswap-sqr sqr-pow
Counts
4 → 66
Calls
4 calls:
0.0ms
(fma x (* 2 (log (cbrt y))) (* x (log (* 1 (pow y 1/3)))))
9.0ms
(* x (log (* 1 (pow y 1/3))))
0.0ms
(cbrt y)
1.0ms
(pow y 1/3)

series776.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(fma x (* 2 (log (cbrt y))) (* x (log (* 1 (pow y 1/3)))))
77.0ms
(* x (log (* 1 (pow y 1/3))))
169.0ms
(cbrt y)
361.0ms
(pow y 1/3)

simplify39.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0229374
1966316
25001280

prune423.0ms

Filtered
78 candidates to 62 candidates (79.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes706.0ms

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
04117
14317
24317

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.6s27897×body80nan
590.0ms9211×body80valid
1.0ms2×body640valid
0.0ms1×body320valid