Details

Time bar (total: 4.0s)

sample21.0ms

Algorithm
intervals
Results
9.0ms316×body80valid

simplify197.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:
21.0ms
(* (- 1.0 y) z)
17.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series70.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (- 1.0 y) z)
44.0ms
(* 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

prune87.0ms

Pruning

5 alts after pruning (4 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)))
3.1b
(* (* x z) (- y 1.0))

rewrite42.0ms

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)))
31.0ms
(* (* x z) (- y 1.0))

series106.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
44.0ms
(* (* x z) (- y 1.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0257266
11177224
25002219

prune91.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.2b
(cbrt (- y 1.0))
0.7b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.6b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite284.0ms

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:
4.0ms
(cbrt (- y 1.0))
4.0ms
(cbrt (- y 1.0))
204.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
63.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series584.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(cbrt (- y 1.0))
269.0ms
(cbrt (- y 1.0))
68.0ms
(* (* (* 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))))

simplify109.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
06651553
125821345
250011279

prune303.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.7b
(* (* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0))) (cbrt (- y 1.0)))
1.1b
(* (* x z) (cbrt (- y 1.0)))
1.4b
(* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0)))

rewrite398.0ms

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))
274.0ms
(* (* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0))) (cbrt (- y 1.0)))
30.0ms
(* (* x z) (cbrt (- y 1.0)))
83.0ms
(* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0)))

series404.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(cbrt (- y 1.0))
60.0ms
(* (* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0))) (cbrt (- y 1.0)))
113.0ms
(* (* x z) (cbrt (- y 1.0)))
145.0ms
(* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0)))

simplify95.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
07251610
134141473
250011402

prune322.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes222.0ms

Accuracy

93.9% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02813
12813

end0.0ms

sample491.0ms

Algorithm
intervals
Results
210.0ms10059×body80valid