Details

Time bar (total: 3.4s)

sample22.0ms

Algorithm
intervals
Results
12.0ms327×body80valid

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0134
1204
2344
3494
4574
5694
6904
71274
81764
93044
104394
114494
124494

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
7.0ms
(* (- 1.0 x) y)
6.0ms
(+ (* (- 1.0 x) y) (* x z))

series64.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- 1.0 x) y)
33.0ms
(+ (* (- 1.0 x) y) (* x z))

simplify102.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0184181
1787167
24082166
35001166

prune62.0ms

Filtered
39 candidates to 29 candidates (74.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New37239
Fresh000
Picked011
Done000
Total37340

Merged error: 0.0b

Counts
40 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
0.6b
(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.6b
(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.6b
(cbrt (+ (* (- 1.0 x) y) (* x z)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
16.0ms
(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
6.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
6.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
6.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))

series694.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
165.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
164.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
167.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03791485
112221402
250011300

prune240.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New97299
Fresh011
Picked011
Done011
Total975102

Merged error: 0b

Counts
102 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.6b
(cbrt (- (* (- 1.0 x) y) (* x z)))
3.4b
(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
23.8b
(cbrt (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×flip3-- pow1/3 flip--
2×difference-of-squares
1×sub-neg flip3-+ diff-log flip-+
Counts
4 → 53
Calls
4 calls:
6.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
6.0ms
(cbrt (- (* (- 1.0 x) y) (* x z)))
13.0ms
(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
14.0ms
(cbrt (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))))

series594.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
167.0ms
(cbrt (- (* (- 1.0 x) y) (* x z)))
98.0ms
(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
156.0ms
(cbrt (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))))

simplify87.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
04681006
11601926
25001890

prune251.0ms

Filtered
65 candidates to 59 candidates (90.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New65065
Fresh022
Picked011
Done022
Total65570

Merged error: 0b

Counts
70 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1.0 x) y)
0.0b
(+ (cbrt (pow (* (- 1.0 x) y) 3)) (* x z))
0.1b
(pow (* (- 1.0 x) y) 3)
36.2b
(cbrt (pow (* (- 1.0 x) y) 3))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×*-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
8×cbrt-prod add-cube-cbrt
6×associate-*l/ add-log-exp
5×associate-*l*
4×cube-div
3×pow-unpow flip3-- associate-*r* flip--
2×cube-mult unpow-prod-down cbrt-div pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
1×+-commutative pow-to-exp flip3-+ pow1/3 sum-log *-commutative rem-cbrt-cube flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 76
Calls
4 calls:
6.0ms
(* (- 1.0 x) y)
7.0ms
(+ (cbrt (pow (* (- 1.0 x) y) 3)) (* x z))
6.0ms
(pow (* (- 1.0 x) y) 3)
3.0ms
(cbrt (pow (* (- 1.0 x) y) 3))

series160.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (- 1.0 x) y)
52.0ms
(+ (cbrt (pow (* (- 1.0 x) y) 3)) (* x z))
32.0ms
(pow (* (- 1.0 x) y) 3)
48.0ms
(cbrt (pow (* (- 1.0 x) y) 3))

simplify52.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0335440
11588390
25002389

prune146.0ms

Filtered
88 candidates to 61 candidates (69.3%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New88088
Fresh011
Picked011
Done033
Total88593

Merged error: 0b

Counts
93 → 5

regimes106.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample528.0ms

Algorithm
intervals
Results
307.0ms10128×body80valid