Details

Time bar (total: 3.6s)

sample17.0ms

Algorithm
intervals
Results
7.0ms330×body80valid

simplify155.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 8 (51.0ms)

IterNodesCost
0144
1344
2924
32324
44914
57854
611154
714824
822183
933493
1048193
1150013

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.9b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×*-un-lft-identity
add-cube-cbrt associate-*l*
pow1 add-exp-log associate-*r* prod-diff add-cbrt-cube
distribute-rgt-in distribute-lft-in
expm1-log1p-u sub-neg flip3-- associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
distribute-lft-out-- difference-of-squares
Counts
2 → 56
Calls
2 calls:
7.0ms
(* (- 1.0 y) z)
6.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- 1.0 y) z)
54.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0244345
11005301
25001292

prune122.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
2.0b
(* (* x z) (- y 1.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
36×prod-diff
29×add-sqr-sqrt *-un-lft-identity
27×add-cube-cbrt
22×distribute-rgt-in associate-+r+ distribute-lft-in
pow1 add-exp-log add-cbrt-cube
associate-*r*
sub-neg add-log-exp
pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u associate-*r/ log1p-expm1-u
+-commutative flip3-- fma-def flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 82
Calls
2 calls:
9.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
8.0ms
(* (* x z) (- y 1.0))

series114.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
48.0ms
(* (* x z) (- y 1.0))

simplify62.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0448736
11854512
25001506

prune164.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.0b
(* (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* 1.0 1))) (* x z))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log cbrt-prod add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u log1p-expm1-u add-log-exp
pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
associate-*r* *-commutative
Counts
4 → 59
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
5.0ms
(* (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* 1.0 1))) (* x z))

series719.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt y)
190.0ms
(cbrt y)
184.0ms
(cbrt y)
162.0ms
(* (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* 1.0 1))) (* x z))

simplify87.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0157389
1555314
22730284
35002250

prune274.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (* x z) (- y 1.0))
8.5b
(cbrt (* (* x z) (- y 1.0)))
8.5b
(cbrt (* (* x z) (- y 1.0)))
8.5b
(cbrt (* (* x z) (- y 1.0)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
18×prod-diff
17×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
pow1 add-exp-log add-cbrt-cube
associate-*r/
cbrt-div
associate-*r*
expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
cbrt-prod pow1/3 pow-prod-down prod-exp cbrt-unprod
sub-neg
associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 85
Calls
4 calls:
8.0ms
(* (* x z) (- y 1.0))
6.0ms
(cbrt (* (* x z) (- y 1.0)))
6.0ms
(cbrt (* (* x z) (- y 1.0)))
6.0ms
(cbrt (* (* x z) (- y 1.0)))

series668.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (* x z) (- y 1.0))
201.0ms
(cbrt (* (* x z) (- y 1.0)))
202.0ms
(cbrt (* (* x z) (- y 1.0)))
212.0ms
(cbrt (* (* x z) (- y 1.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04911055
11922856
25001844

prune282.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes162.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample434.0ms

Algorithm
intervals
Results
230.0ms10165×body80valid