Details

Time bar (total: 2.5s)

sample14.0ms

Algorithm
intervals
Results
6.0ms350×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))

rewrite15.0ms

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:
13.0ms
(* (* x y) (- 1.0 y))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* (* x y) (- 1.0 y))

simplify41.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0292436
11402284
25001272

prune49.0ms

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))

rewrite15.0ms

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:
6.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
8.0ms
(* (* x y) (- y))

series103.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
31.0ms
(* (* x y) (- y))

simplify58.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0252263
11522222
25002217

prune89.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* x y) (- y))) (cbrt (* (* x y) (- y))))
20.1b
(cbrt (* (* x y) (- y)))
20.1b
(cbrt (* (* x y) (- y)))
20.1b
(cbrt (* (* x y) (- y)))

rewrite25.0ms

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:
8.0ms
(* (cbrt (* (* x y) (- y))) (cbrt (* (* x y) (- y))))
5.0ms
(cbrt (* (* x y) (- y)))
5.0ms
(cbrt (* (* x y) (- y)))
5.0ms
(cbrt (* (* x y) (- y)))

series461.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(* (cbrt (* (* x y) (- y))) (cbrt (* (* x y) (- y))))
103.0ms
(cbrt (* (* x y) (- y)))
104.0ms
(cbrt (* (* x y) (- y)))
104.0ms
(cbrt (* (* x y) (- y)))

simplify98.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0217572
1735503
23374434
35001428

prune223.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (- y))
11.3b
(cbrt (* x y))
20.1b
(cbrt (* (* x y) (- y)))
20.1b
(cbrt (* (* x y) (- y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
1×neg-mul-1
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt (- y))
1.0ms
(cbrt (* x y))
5.0ms
(cbrt (* (* x y) (- y)))
5.0ms
(cbrt (* (* x y) (- y)))

series467.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt (- y))
64.0ms
(cbrt (* x y))
110.0ms
(cbrt (* (* x y) (- y)))
104.0ms
(cbrt (* (* x y) (- y)))

simplify87.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
0180329
1376301
21074271
33327269
45001269

prune220.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes52.0ms

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

sample360.0ms

Algorithm
intervals
Results
195.0ms10697×body80valid