Details

Time bar (total: 5.2s)

sample18.0ms

Algorithm
intervals
Results
8.0ms330×body80valid

simplify195.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1344
2844
32064
44064
55404
67064
79574
814584
923844
1036584
1140314
1244294
1350024

prune2.0ms

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)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
6.0ms
(* (- 1.0 y) z)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (- 1.0 y) z)
49.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify93.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune98.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
4.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
8.0ms
(* (* x z) (- y 1.0))

series116.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
51.0ms
(* (* x z) (- y 1.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0257266
11177224
25002219

prune86.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.9b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
1.3b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-div
44×associate-*r/
41×pow1
40×flip3-- flip--
38×cbrt-prod
36×add-exp-log frac-times
35×add-sqr-sqrt
33×*-un-lft-identity
23×pow-prod-down
22×prod-exp cbrt-unprod
21×add-cbrt-cube
18×associate-*l/
17×associate-*r*
15×add-cube-cbrt
10×swap-sqr associate-*l*
8×distribute-lft-out--
7×pow1/3
6×difference-of-squares
4×add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 159
Calls
4 calls:
3.0ms
(cbrt (- y 1.0))
10.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
20.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
15.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series462.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(cbrt (- y 1.0))
121.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
72.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
163.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify102.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07871899
133051673
250021575

prune400.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.4b
(* (* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0))))) (cbrt (cbrt (- y 1.0))))
0.6b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0)))))
1.3b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
1644×cbrt-div
712×frac-times
525×flip3-- flip--
478×associate-*r/
260×associate-*l/
117×pow1
112×add-exp-log
83×pow-prod-down
82×prod-exp cbrt-unprod
59×add-cbrt-cube
41×cbrt-prod
33×add-sqr-sqrt
31×*-un-lft-identity
21×associate-*r*
15×add-cube-cbrt
11×associate-*l*
10×swap-sqr
7×distribute-lft-out--
6×pow1/3
5×difference-of-squares
4×*-commutative add-log-exp unswap-sqr
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 501
Calls
4 calls:
10.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
45.0ms
(* (* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0))))) (cbrt (cbrt (- y 1.0))))
35.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0)))))
14.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series642.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
67.0ms
(* (* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0))))) (cbrt (cbrt (- y 1.0))))
277.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0)))))
158.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify157.0ms

Algorithm
egg-herbie
Counts
513 → 513
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
0233614909
1500214015

prune1.7s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes220.0ms

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

sample456.0ms

Algorithm
intervals
Results
255.0ms10165×body80valid