Details

Time bar (total: 4.0s)

sample25.0ms

Algorithm
intervals
Results
7.0ms260×body80valid
5.0ms228×body80nan

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1294
2514
3654
4974
51204
61594
72574
83224
93224

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- (* x (log y)) z) y)
0.0b
(- (* x (log y)) z)
0.2b
(* x (log y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
23×associate--l+
22×*-un-lft-identity
20×add-cube-cbrt
18×log-prod
15×prod-diff
10×add-log-exp
distribute-rgt-in distribute-lft-in
pow1
add-exp-log add-cbrt-cube
fma-neg diff-log associate-*r*
expm1-log1p-u sub-neg associate-*l* log1p-expm1-u
flip3-- flip--
associate--l- pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 92
Calls
3 calls:
9.0ms
(- (- (* x (log y)) z) y)
5.0ms
(- (* x (log y)) z)
5.0ms
(* x (log y))

series132.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- (- (* x (log y)) z) y)
53.0ms
(- (* x (log y)) z)
42.0ms
(* x (log y))

simplify46.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0365609
11312480
25001447

prune209.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (fma x (log y) (- (* z 1))) (+ (- z) (- z y)))
0.1b
(fma x (log y) (- (* z 1)))
2.5b
(+ (- z) (- z y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
29×add-log-exp
13×add-sqr-sqrt add-cube-cbrt fma-def sum-log distribute-lft-out
12×associate-+r+
prod-diff
distribute-rgt-neg-in
associate-+r- diff-log neg-log distribute-lft-out--
pow1 add-exp-log distribute-lft-neg-in expm1-log1p-u add-cbrt-cube log1p-expm1-u
+-commutative neg-sub0 associate-+l- flip3-+ flip-+ fma-udef
neg-mul-1 sub-neg associate-+l+
Counts
3 → 82
Calls
3 calls:
11.0ms
(+ (fma x (log y) (- (* z 1))) (+ (- z) (- z y)))
1.0ms
(fma x (log y) (- (* z 1)))
9.0ms
(+ (- z) (- z y))

series99.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ (fma x (log y) (- (* z 1))) (+ (- z) (- z y)))
57.0ms
(fma x (log y) (- (* z 1)))
9.0ms
(+ (- z) (- z y))

simplify44.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0343529
11410404
25001346

prune234.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series735.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt y) (cbrt y))
175.0ms
(cbrt y)
181.0ms
(cbrt y)
178.0ms
(cbrt y)

simplify91.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune298.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
5.2b
(pow (/ 1 y) -1/3)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
22×cbrt-prod add-cube-cbrt *-un-lft-identity
13×pow1 unpow-prod-down
11×add-exp-log
times-frac
pow1/3
swap-sqr associate-*r* associate-*l*
expm1-log1p-u pow-exp add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-unpow pow-pow
div-exp pow-prod-down pow-sqr pow-prod-up
pow2 pow-to-exp rec-exp pow-flip pow-plus 1-exp prod-exp *-commutative cbrt-unprod div-inv inv-pow sqr-pow
Counts
4 → 102
Calls
4 calls:
9.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
5.0ms
(pow (/ 1 y) -1/3)

series733.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt y) (cbrt y))
183.0ms
(cbrt y)
178.0ms
(cbrt y)
175.0ms
(pow (/ 1 y) -1/3)

simplify44.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0282424
11223383
25002342

prune345.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes65.0ms

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
0208
1298
2298

end0.0ms

sample711.0ms

Algorithm
intervals
Results
225.0ms8031×body80valid
170.0ms7966×body80nan
0.0msbody160valid