Details

Time bar (total: 3.3s)

sample16.0ms

Algorithm
intervals
Results
7.0ms328×body80valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2344
3494
4574
5694
6904
71274
81764
93044
104394
114494
124494

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
10.0ms
(* (- 1.0 x) y)
5.0ms
(+ (* (- 1.0 x) y) (* x z))

series61.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (- 1.0 x) y)
33.0ms
(+ (* (- 1.0 x) y) (* x z))

simplify104.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0184181
1787167
24082166
35001166

prune78.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 x))
0.2b
(cbrt (- 1.0 x))
0.2b
(cbrt (- 1.0 x))
0.2b
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
2.0ms
(cbrt (- 1.0 x))
2.0ms
(cbrt (- 1.0 x))
2.0ms
(cbrt (- 1.0 x))
22.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

series370.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(cbrt (- 1.0 x))
88.0ms
(cbrt (- 1.0 x))
87.0ms
(cbrt (- 1.0 x))
106.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

simplify143.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (134.0ms)

IterNodesCost
0316847
11010807
24438753
35001749

prune309.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
0.6b
(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.6b
(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.6b
(cbrt (+ (* (- 1.0 x) y) (* x z)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
36.0ms
(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
4.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
4.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
7.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))

series723.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
176.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
173.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
174.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03791485
112221402
250011300

prune274.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.0 1.0) (* x x))
0.0b
(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
3.1b
(* (- (* 1.0 1.0) (* x x)) y)
7.6b
(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt add-log-exp
6×pow1
4×times-frac associate-*l* associate-*l/ associate-/r*
3×flip3-- associate-*r* flip--
2×cbrt-undiv flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/ distribute-lft-out difference-of-squares
1×+-commutative sub-neg frac-2neg diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 72
Calls
4 calls:
2.0ms
(- (* 1.0 1.0) (* x x))
20.0ms
(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
10.0ms
(* (- (* 1.0 1.0) (* x x)) y)
9.0ms
(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

series192.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (* 1.0 1.0) (* x x))
54.0ms
(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
41.0ms
(* (- (* 1.0 1.0) (* x x)) y)
57.0ms
(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

simplify53.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0377611
11804539
25001530

prune184.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes90.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample426.0ms

Algorithm
intervals
Results
228.0ms10189×body80valid