Details

Time bar (total: 2.7s)

sample33.0ms

Algorithm
intervals
Results
15.0ms290×body80valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0246
1466
2736
3996
41196
51456
61786
72536
83336
94676
104676

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.0b
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg associate-+l+ diff-log sum-log add-cbrt-cube
1×+-commutative associate-+l- flip3-- flip3-+ associate-*l/ frac-sub flip-- flip-+ distribute-lft-out
Counts
2 → 29
Calls
2 calls:
5.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
8.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

series20.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
11.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

simplify56.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0188275
1585260
22356255
35002255

prune47.0ms

Filtered
26 candidates to 35 candidates (-34.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New34135
Fresh000
Picked011
Done000
Total34236

Merged error: 0.0b

Counts
36 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.5b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.5b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.5b
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×associate-*l/
11×pow1 flip3-- frac-sub flip--
9×frac-times pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 97
Calls
4 calls:
6.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
6.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
5.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
17.0ms
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

series187.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
43.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
45.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
55.0ms
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

simplify130.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03301647
110751554
248661466
350011466

prune285.0ms

Filtered
82 candidates to 109 candidates (-32.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1081109
Fresh000
Picked011
Done011
Total1083111

Merged error: 0b

Counts
111 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.5b
(cbrt (- (* (* 1.0 x) 2.0) (* 8.0 (* y z))))
0.5b
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
1.0b
(cbrt (* 8.0 2.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-div
23×cbrt-prod
22×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
12×associate-*l/
11×pow1
10×flip3-- flip--
9×frac-times pow1/3 frac-sub
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
6.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
4.0ms
(cbrt (- (* (* 1.0 x) 2.0) (* 8.0 (* y z))))
18.0ms
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
2.0ms
(cbrt (* 8.0 2.0))

series143.0ms

Counts
4 → 10
Calls
4 calls:
43.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
46.0ms
(cbrt (- (* (* 1.0 x) 2.0) (* 8.0 (* y z))))
54.0ms
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
0.0ms
(cbrt (* 8.0 2.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04541481
115081396
250021310

prune279.0ms

Filtered
74 candidates to 101 candidates (-36.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1010101
Fresh000
Picked011
Done022
Total1013104

Merged error: 0b

Counts
104 → 3

regimes501.0ms

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
0166
1166

end0.0ms

sample763.0ms

Algorithm
intervals
Results
346.0ms9131×body80valid
0.0ms2×body1280valid
0.0ms1×body2560valid
0.0ms1×body640valid

Profiling

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