Details

Time bar (total: 3.6s)

sample18.0ms

Algorithm
intervals
Results
8.0ms325×body80valid

simplify147.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 8 (49.0ms)

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: 3.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.4b
(* 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:
11.0ms
(* (- 1.0 y) z)
8.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (- 1.0 y) z)
50.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify36.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0244345
11005301
25001292

prune118.0ms

Pruning

8 alts after pruning (8 fresh and 0 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)))
3.3b
(* (* x z) (- y 1.0))

rewrite24.0ms

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))

series110.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
50.0ms
(* (* x z) (- y 1.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0448736
11854512
25001506

prune162.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(cbrt (- y 1.0))
0.7b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.7b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
42×associate-*r/
35×flip3-- flip--
34×pow1 add-exp-log
32×frac-times
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
16×associate-*l/
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 126
Calls
4 calls:
2.0ms
(cbrt (- y 1.0))
2.0ms
(cbrt (- y 1.0))
110.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
29.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series420.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(cbrt (- y 1.0))
95.0ms
(cbrt (- y 1.0))
70.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
158.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify79.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06831597
126601386
250011313

prune345.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
3.3b
(* (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* 1.0 1))) (* x z))

rewrite9.0ms

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-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 59
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
6.0ms
(* (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* 1.0 1))) (* x z))

series672.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt y)
173.0ms
(cbrt y)
174.0ms
(cbrt y)
151.0ms
(* (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* 1.0 1))) (* x z))

simplify83.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0157389
1555314
22730284
35002250

prune280.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes238.0ms

Accuracy

75.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.5b

bsearch83.0ms

Steps
ItersRangePoint
8
5.464285198748941e-21
1.6614515888501494e-18
2.617948067562255e-20
7
-1.4072068209459402e+134
-5.711063900998478e+131
-5.821134117448161e+131

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04919
15119
25119

end0.0ms

sample440.0ms

Algorithm
intervals
Results
239.0ms10088×body80valid