Details

Time bar (total: 5.5s)

sample854.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.5%

Results
12.0ms313×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.8b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
4.6b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
26×*-un-lft-identity
16×times-frac
10×associate-*r*
8×distribute-lft-out-- difference-of-squares
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×sub-neg associate-*r/ associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in frac-sub flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 52
Calls
2 calls:
19.0ms
(- (/ y z) (/ t (- 1.0 z)))
24.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series26.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(- (/ y z) (/ t (- 1.0 z)))
17.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify35.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0258422
1977391
25002389

prune108.0ms

Filtered
41 candidates to 58 candidates (-41.5%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New481058
Fresh000
Picked011
Done000
Total481159

Merged error: 0.5b

Counts
59 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.9b
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
7.7b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
7.7b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
7.7b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×*-un-lft-identity
33×cbrt-div
30×cbrt-prod
24×times-frac
18×associate-*r/
12×distribute-lft-out-- difference-of-squares
11×flip3-- frac-sub flip--
9×pow1 add-exp-log frac-times
8×add-cube-cbrt
7×add-cbrt-cube
4×add-log-exp
3×pow1/3 associate-*l* pow-prod-down associate-*l/ prod-exp cbrt-unprod
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 97
Calls
4 calls:
44.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
20.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
18.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
19.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series157.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
38.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
36.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
38.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify81.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
04331357
110301273
228101253
350011220

prune275.0ms

Filtered
84 candidates to 109 candidates (-29.8%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1063109
Fresh189
Picked101
Done011
Total10812120

Merged error: 0.5b

Counts
120 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
7.7b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
7.7b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
7.7b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
53×*-un-lft-identity
40×cbrt-prod
33×cbrt-div
32×times-frac
16×distribute-lft-out-- difference-of-squares
15×associate-*r/
13×associate-*r*
11×flip3-- frac-sub flip--
9×pow1 add-exp-log frac-times add-cube-cbrt
6×add-cbrt-cube
4×add-log-exp
3×pow1/3 pow-prod-down associate-*l/ prod-exp cbrt-unprod
1×associate-*l* *-commutative
Counts
4 → 106
Calls
4 calls:
46.0ms
(* (* x (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
18.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
18.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
19.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series159.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (* x (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
36.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
36.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
40.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify106.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
04801619
113731544
245141516
350011481

prune280.0ms

Filtered
86 candidates to 118 candidates (-37.2%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1180118
Fresh01010
Picked011
Done011
Total11812130

Merged error: 0.5b

Counts
130 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

7.7b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
7.7b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
7.7b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
7.7b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
52×*-un-lft-identity
40×cbrt-prod
32×times-frac
16×distribute-lft-out-- difference-of-squares
12×cbrt-div
8×add-cube-cbrt
4×pow1 add-exp-log flip3-- pow1/3 frac-sub add-cbrt-cube flip-- add-log-exp
Counts
4 → 84
Calls
4 calls:
21.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
18.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
18.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
20.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series148.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
39.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
36.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
37.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify150.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 4 (138.0ms)

IterNodesCost
02191060
14901016
212561000
34352956
45001948

prune307.0ms

Filtered
76 candidates to 96 candidates (-26.3%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh099
Picked011
Done022
Total9612108

Merged error: 0.5b

Counts
108 → 12

regimes749.0ms

Accuracy

76.3% (0.9b remaining)

Error of 1.7b against oracle of 0.8b and baseline of 4.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03021
13021

end0.0ms

sample1.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.5%

Results
393.0ms10105×body80valid

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