Details

Time bar (total: 2.6s)

sample15.0ms

Algorithm
intervals
Results
5.0ms340×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1323
2743
31123
41233
51273
61273

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) (- 1.0 y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
31.0ms
(* (* x y) (- 1.0 y))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* (* x y) (- 1.0 y))

simplify43.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0292436
11402284
25001272

prune52.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* x y) 1.0) (* (* x y) (- y)))
0.2b
(* (* x y) (- y))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative neg-mul-1 fma-def flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 45
Calls
2 calls:
17.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
21.0ms
(* (* x y) (- y))

series99.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
30.0ms
(* (* x y) (- y))

simplify59.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0252263
11522222
25002217

prune96.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
37.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))

series353.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
85.0ms
(cbrt (- 1.0 y))
83.0ms
(cbrt (- 1.0 y))
86.0ms
(cbrt (- 1.0 y))

simplify146.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (136.0ms)

IterNodesCost
0328874
11070836
24697779
35001776

prune314.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* x y) (- y))) (cbrt (* (* x y) (- y))))
19.3b
(cbrt (* (* x y) (- y)))
19.3b
(cbrt (* (* x y) (- y)))
19.3b
(cbrt (* (* x y) (- y)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
26.0ms
(* (cbrt (* (* x y) (- y))) (cbrt (* (* x y) (- y))))
13.0ms
(cbrt (* (* x y) (- y)))
15.0ms
(cbrt (* (* x y) (- y)))
13.0ms
(cbrt (* (* x y) (- y)))

series421.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (cbrt (* (* x y) (- y))) (cbrt (* (* x y) (- y))))
96.0ms
(cbrt (* (* x y) (- y)))
98.0ms
(cbrt (* (* x y) (- y)))
98.0ms
(cbrt (* (* x y) (- y)))

simplify98.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0217572
1735503
23374434
35001428

prune215.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes54.0ms

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
0146
1186
2246
3246

end0.0ms

sample388.0ms

Algorithm
intervals
Results
178.0ms10679×body80valid