Details

Time bar (total: 10.2s)

sample144.0ms

Algorithm
intervals
Results
51.0ms820×body80nan
24.0ms304×body80valid
0.0ms1×body320valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03910
11118
24648
316548
450018

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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))

rewrite48.0ms

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:
14.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
16.0ms
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
9.0ms
(* (- b 0.5) (log c))
5.0ms
(* x (log y))

series836.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
512.0ms
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
59.0ms
(* (- b 0.5) (log c))
37.0ms
(* x (log y))

simplify70.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06781061
12790964
25003931

prune495.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 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))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite26.0ms

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:
6.0ms
(* x (log (cbrt y)))
11.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series531.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* x (log (cbrt y)))
99.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
172.0ms
(cbrt y)
170.0ms
(cbrt y)

simplify55.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0384753
11636640
25001570

prune711.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
38×log-prod
31×distribute-rgt-in distribute-lft-in
24×associate-+l+
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
15×cbrt-prod
9×unpow-prod-down
7×pow1 add-exp-log
6×add-cbrt-cube add-log-exp
4×expm1-log1p-u associate-*r* log1p-expm1-u
3×pow-unpow associate-*l* sqr-pow
1×+-commutative pow-to-exp pow-pow fma-def flip3-+ unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 106
Calls
4 calls:
6.0ms
(* x (log (pow y 1/3)))
11.0ms
(+ (* x (* 2 (log (cbrt y)))) (pow (* x (log (pow y 1/3))) 1))
1.0ms
(cbrt y)
3.0ms
(pow y 1/3)

series566.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* x (log (pow y 1/3)))
133.0ms
(+ (* x (* 2 (log (cbrt y)))) (pow (* x (log (pow y 1/3))) 1))
176.0ms
(cbrt y)
177.0ms
(pow y 1/3)

simplify68.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0420727
11866600
25002494

prune677.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
14×log-prod
13×add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
7×pow1 add-exp-log distribute-rgt-in distribute-lft-in
6×add-cbrt-cube
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
3×cbrt-prod pow-unpow associate-*l* sqr-pow
1×pow-to-exp pow-pow unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp log-pow *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 78
Calls
4 calls:
1.0ms
(fma x (* 2 (log (cbrt y))) (pow (* x (log (pow y 1/3))) 1))
6.0ms
(* x (log (pow y 1/3)))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series600.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(fma x (* 2 (log (cbrt y))) (pow (* x (log (pow y 1/3))) 1))
80.0ms
(* x (log (pow y 1/3)))
177.0ms
(cbrt y)
170.0ms
(pow y 1/3)

simplify40.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0260448
11038387
25001345

prune462.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes723.0ms

Accuracy

0% (0.1b 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
04017
14017

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.6s27897×body80nan
594.0ms9211×body80valid
1.0ms2×body640valid
0.0ms1×body320valid