Details

Time bar (total: 4.7s)

sample25.0ms

Algorithm
intervals
Results
15.0ms337×body80valid

simplify199.0ms

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: 3.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.6b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite18.0ms

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:
10.0ms
(* (- 1.0 y) z)
7.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (- 1.0 y) z)
45.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify92.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune95.0ms

Pruning

8 alts after pruning (7 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)))
1.7b
(* (* x z) (- y 1.0))

rewrite16.0ms

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:
3.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
11.0ms
(* (* x z) (- y 1.0))

series107.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
48.0ms
(* (* x z) (- y 1.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0257266
11177224
25002219

prune91.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(cbrt (- y 1.0))
0.8b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
1.1b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))

rewrite141.0ms

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×add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 118
Calls
4 calls:
2.0ms
(cbrt (- y 1.0))
2.0ms
(cbrt (- y 1.0))
27.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
104.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))

series417.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(cbrt (- y 1.0))
94.0ms
(cbrt (- y 1.0))
158.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
68.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))

simplify78.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06651553
125831345
250011279

prune332.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cbrt (- y 1.0)))
0.3b
(cbrt (cbrt (- y 1.0)))
0.8b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
1.1b
(* (* (* 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)))))

rewrite311.0ms

Algorithm
rewrite-expression-head
Rules
1316×cbrt-div
572×frac-times
413×flip3-- flip--
378×associate-*r/
190×associate-*l/
85×pow1 add-exp-log
62×pow-prod-down prod-exp cbrt-unprod
49×add-cbrt-cube
26×cbrt-prod
12×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
4×add-log-exp
2×pow1/3 associate-*r* associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 363
Calls
4 calls:
2.0ms
(cbrt (cbrt (- y 1.0)))
2.0ms
(cbrt (cbrt (- y 1.0)))
29.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
219.0ms
(* (* (* 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)))))

series637.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(cbrt (cbrt (- y 1.0)))
291.0ms
(cbrt (cbrt (- y 1.0)))
161.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
74.0ms
(* (* (* 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)))))

simplify128.0ms

Algorithm
egg-herbie
Counts
375 → 375
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
0236112263
1500111338

prune873.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes270.0ms

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

sample672.0ms

Algorithm
intervals
Results
464.0ms10091×body80valid