Details

Time bar (total: 4.2s)

sample17.0ms

Algorithm
intervals
Results
7.0ms329×body80valid

simplify186.0ms

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: 5.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
4.8b
(* 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)))

series76.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (- 1.0 y) z)
48.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify90.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune90.0ms

Filtered
52 candidates to 33 candidates (63.5%)
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)))
1.7b
(* (* x z) (- y 1.0))

rewrite12.0ms

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

series109.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
50.0ms
(* (* x z) (- y 1.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0257266
11177224
25002219

prune85.0ms

Filtered
47 candidates to 30 candidates (63.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(cbrt (- y 1.0))
0.5b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
1.4b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite49.0ms

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:
3.0ms
(cbrt (- y 1.0))
3.0ms
(cbrt (- y 1.0))
20.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
17.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series434.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(cbrt (- y 1.0))
97.0ms
(cbrt (- y 1.0))
73.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
166.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify98.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
06651553
125821345
250011279

prune301.0ms

Filtered
130 candidates to 77 candidates (59.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
0.5b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (cbrt (- y 1.0)))))
1.4b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
1222×cbrt-div
576×frac-times
418×flip3-- flip--
380×associate-*r/
192×associate-*l/
57×pow1 add-exp-log
39×pow-prod-down prod-exp cbrt-unprod
35×add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
6×cbrt-prod
5×add-cube-cbrt
4×add-log-exp
2×pow1/3 associate-*r* associate-*l* *-commutative
1×distribute-lft-out-- difference-of-squares
Counts
4 → 344
Calls
4 calls:
3.0ms
(cbrt (- y 1.0))
8.0ms
(cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
36.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (cbrt (- y 1.0)))))
13.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series473.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(cbrt (- y 1.0))
145.0ms
(cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
66.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (cbrt (- y 1.0)))))
164.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify136.0ms

Algorithm
egg-herbie
Counts
356 → 356
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
0246511528
1500211216

prune1.2s

Filtered
356 candidates to 189 candidates (53.1%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes216.0ms

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

sample440.0ms

Algorithm
intervals
Results
233.0ms10135×body80valid