Details

Time bar (total: 3.5s)

sample29.0ms

Algorithm
intervals
Results
18.0ms328×body80valid

simplify151.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 8 (50.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.1b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×*-un-lft-identity
8×add-cube-cbrt associate-*l*
6×pow1 add-exp-log associate-*r* prod-diff add-cbrt-cube
5×distribute-rgt-in distribute-lft-in
2×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
1×distribute-lft-out-- difference-of-squares
Counts
2 → 56
Calls
2 calls:
10.0ms
(* (- 1.0 y) z)
9.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* (- 1.0 y) z)
49.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0244345
11005301
25001292

prune124.0ms

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)))
2.5b
(* (* x z) (- y 1.0))

rewrite25.0ms

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
7×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×sub-neg add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u associate-*r/ log1p-expm1-u
1×+-commutative flip3-- fma-def flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 82
Calls
2 calls:
6.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
14.0ms
(* (* x z) (- y 1.0))

series120.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
53.0ms
(* (* x z) (- y 1.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0448736
11854512
25001506

prune175.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(cbrt y)
2.5b
(* (* x z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* 1.0 1))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log cbrt-prod add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod
2×fma-udef
1×distribute-rgt-in distribute-lft-in associate-*l* *-commutative
Counts
4 → 61
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
7.0ms
(* (* x z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* 1.0 1))))

series693.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt y)
185.0ms
(cbrt y)
181.0ms
(cbrt y)
133.0ms
(* (* x z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* 1.0 1))))

simplify118.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
0171409
1765330
23995303
35002298

prune275.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (sqrt (- 1.0 y)) z)
0.1b
(* (sqrt (- 1.0 y)) (* (sqrt (- 1.0 y)) z))
1.7b
(* x (- 1.0 (* (sqrt (- 1.0 y)) (* (sqrt (- 1.0 y)) z))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×associate-*l*
16×*-un-lft-identity
14×sqrt-div
12×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
11×sqrt-prod
10×associate-*l/
8×flip3-- flip--
7×associate-*r*
6×prod-diff
5×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp cbrt-unprod
4×frac-times associate-*r/
3×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp unswap-sqr
2×sub-neg distribute-lft-out-- difference-of-squares
Counts
3 → 93
Calls
3 calls:
12.0ms
(* (sqrt (- 1.0 y)) z)
25.0ms
(* (sqrt (- 1.0 y)) (* (sqrt (- 1.0 y)) z))
12.0ms
(* x (- 1.0 (* (sqrt (- 1.0 y)) (* (sqrt (- 1.0 y)) z))))

series180.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(* (sqrt (- 1.0 y)) z)
31.0ms
(* (sqrt (- 1.0 y)) (* (sqrt (- 1.0 y)) z))
53.0ms
(* x (- 1.0 (* (sqrt (- 1.0 y)) (* (sqrt (- 1.0 y)) z))))

simplify54.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0430877
11654693
25001632

prune234.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes248.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample786.0ms

Algorithm
intervals
Results
565.0ms10181×body80valid