Details

Time bar (total: 3.2s)

sample18.0ms

Algorithm
intervals
Results
9.0ms301×body80valid

simplify209.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
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)))

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)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- 1.0 y) z)
49.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify95.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune93.0ms

Filtered
52 candidates to 33 candidates (63.5%)
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)))
2.7b
(* (* 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))

series125.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
60.0ms
(* (* 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

Filtered
47 candidates to 30 candidates (63.8%)
Pruning

7 alts after pruning (5 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))
1.0b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
1.7b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite142.0ms

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))
102.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
29.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series432.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(cbrt (- y 1.0))
99.0ms
(cbrt (- y 1.0))
73.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
161.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify78.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06651553
125821345
250011279

prune299.0ms

Filtered
130 candidates to 77 candidates (59.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

1.3b
(* x (* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z)))))
3.9b
(cbrt (- 1.0 (* (- 1.0 y) z)))
3.9b
(cbrt (- 1.0 (* (- 1.0 y) z)))
3.9b
(cbrt (- 1.0 (* (- 1.0 y) z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-- flip--
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
22.0ms
(* x (* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z)))))
1.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))
1.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))
2.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))

series438.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(* x (* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z)))))
93.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))
93.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))
93.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))

simplify95.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0388959
11083887
24152842
35001842

prune252.0ms

Filtered
78 candidates to 66 candidates (84.6%)
Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes231.0ms

Accuracy

0% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample431.0ms

Algorithm
intervals
Results
232.0ms10131×body80valid