Details

Time bar (total: 2.6s)

analyze292.0ms

Algorithm
search

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms19×body80invalid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

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

rewrite10.0ms

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:
6.0ms
(* (- 1.0 x) z)
4.0ms
(+ (* x y) (* (- 1.0 x) z))

series12.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- 1.0 x) z)
7.0ms
(+ (* x y) (* (- 1.0 x) z))

simplify97.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0185183
1776166
24093166
35001166

prune55.0ms

Filtered
28 candidates to 39 candidates (-39.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New35439
Fresh000
Picked011
Done000
Total35540

Merged error: 0.0b

Counts
40 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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:
9.0ms
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
3.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))

series190.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
41.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
43.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
41.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03081289
110301210
250011108

prune212.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New98199
Fresh033
Picked101
Done011
Total995104

Merged error: 0b

Counts
104 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
3.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))

series172.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
41.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
43.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
43.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0174692
1495648
22119616
35001604

prune222.0ms

Filtered
56 candidates to 64 candidates (-14.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh033
Picked011
Done011
Total64569

Merged error: 0b

Counts
69 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
2.9b
(* (- (* 1.0 1.0) (* x x)) z)
6.2b
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×times-frac associate-*l* associate-*l/ associate-/r*
3×associate-*r*
2×cbrt-undiv flip3-- flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/ distribute-lft-out
1×+-commutative frac-2neg pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 59
Calls
3 calls:
6.0ms
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
5.0ms
(* (- (* 1.0 1.0) (* x x)) z)
8.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series29.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
6.0ms
(* (- (* 1.0 1.0) (* x x)) z)
8.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify48.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0368530
11781465
25002456

prune72.0ms

Filtered
48 candidates to 68 candidates (-41.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New67168
Fresh112
Picked101
Done022
Total69473

Merged error: 0b

Counts
73 → 4

regimes233.0ms

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
0135
1135

end0.0ms

analyze280.0ms

Algorithm
search

sample398.0ms

Algorithm
intervals
Results
222.0ms8000×body80valid
17.0ms647×body80invalid

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