Details

Time bar (total: 4.3s)

sample19.0ms

Algorithm
intervals
Results
7.0ms324×body80valid

simplify201.0ms

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: 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)))

rewrite45.0ms

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:
23.0ms
(* (- 1.0 y) z)
21.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- 1.0 y) z)
42.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify96.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune96.0ms

Pruning

6 alts after pruning (5 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)))
4.6b
(* (* x z) (- y 1.0))

rewrite41.0ms

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:
10.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
29.0ms
(* (* x z) (- y 1.0))

series103.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
44.0ms
(* (* x z) (- y 1.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0257266
11177224
25002219

prune89.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(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)))
3.8b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite334.0ms

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:
5.0ms
(cbrt (- y 1.0))
40.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
214.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
65.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series424.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(cbrt (- y 1.0))
114.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
66.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
151.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify110.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
07871899
133051673
250021575

prune418.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.9b
(* (* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0))) (cbrt (- y 1.0)))
1.1b
(* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0)))
2.7b
(* (* x z) (cbrt (- y 1.0)))

rewrite428.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
36×associate-*r/
35×flip3-- flip--
32×pow1 add-exp-log frac-times
24×associate-*r*
20×cbrt-prod
19×add-sqr-sqrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
16×associate-*l/ add-cbrt-cube
11×add-cube-cbrt
4×distribute-lft-out-- add-log-exp difference-of-squares
3×associate-*l* *-commutative
1×pow1/3
Counts
4 → 129
Calls
4 calls:
4.0ms
(cbrt (- y 1.0))
297.0ms
(* (* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0))) (cbrt (- y 1.0)))
89.0ms
(* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0)))
30.0ms
(* (* x z) (cbrt (- y 1.0)))

series433.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(cbrt (- y 1.0))
66.0ms
(* (* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0))) (cbrt (- y 1.0)))
150.0ms
(* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0)))
122.0ms
(* (* x z) (cbrt (- y 1.0)))

simplify102.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
07251610
134141473
250011402

prune366.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes305.0ms

Accuracy

93.3% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03933
13933

end0.0ms

sample493.0ms

Algorithm
intervals
Results
221.0ms10117×body80valid