Details

Time bar (total: 9.6s)

sample2.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.866699%

Guaranteed chance to sample good point: 38.443541%

Results
8.0ms199×body80valid
3.0ms22×body640valid
2.0ms10×body1280valid
2.0ms15×body320valid
1.0ms37×body80invalid
1.0ms8×body160valid
0.0ms2×body2560valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0236
1446
21226
33276
48686
517276
635446
750016

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.4b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
3.3b
(+ x (* (- y z) (/ (- t x) (- a z))))
6.6b
(* (- y z) (/ (- t x) (- a z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 119
Calls
3 calls:
7.0ms
(/ (- t x) (- a z))
3.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
20.0ms
(* (- y z) (/ (- t x) (- a z)))

series100.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ (- t x) (- a z))
52.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
35.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0473869
12012820
25002820

prune177.0ms

Filtered
88 candidates to 128 candidates (-45.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New11711128
Fresh000
Picked101
Done000
Total11811129

Merged error: 4.0b

Counts
129 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.5b
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))))
11.1b
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
17×add-sqr-sqrt
16×cbrt-div
14×*-un-lft-identity add-cbrt-cube
13×associate-*r*
10×cbrt-prod flip3-- flip--
9×prod-exp cbrt-unprod
8×add-cube-cbrt associate-/r/
6×pow1 frac-times add-log-exp
5×associate-*l*
4×cbrt-undiv div-exp associate-*l/
3×associate-*r/ distribute-lft-out-- difference-of-squares
2×times-frac pow1/3 unswap-sqr
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
4 → 85
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
25.0ms
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))))
5.0ms
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series225.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- a z))
26.0ms
(cbrt (- a z))
119.0ms
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))))
53.0ms
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify74.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06831381
126801170
250011136

prune144.0ms

Filtered
72 candidates to 97 candidates (-34.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh01010
Picked011
Done000
Total9711108

Merged error: 4.0b

Counts
108 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.6b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
9.1b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
59×*-un-lft-identity
52×times-frac
46×associate-*r*
37×cbrt-prod
27×add-cube-cbrt
25×add-exp-log
18×cbrt-div add-cbrt-cube
17×associate-*l*
16×distribute-lft-out-- difference-of-squares
10×associate-/r/
9×flip3-- flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 add-log-exp unswap-sqr
5×frac-times
3×associate-*r/ associate-*l/
2×pow1/3 div-inv
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 134
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
38.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
3.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series161.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- a z))
27.0ms
(cbrt (- a z))
55.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
54.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify96.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
07521839
133201671
250011580

prune179.0ms

Filtered
103 candidates to 146 candidates (-41.7%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1442146
Fresh099
Picked011
Done011
Total14413157

Merged error: 4.0b

Counts
157 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* (- t x) (/ 1 (- a z)))
6.2b
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
6.6b
(* (- y z) (* (- t x) (/ 1 (- a z))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×frac-times add-cbrt-cube
17×flip3-- flip--
13×prod-exp
12×pow1
10×associate-*r/ associate-*l* associate-*l/
9×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×div-exp add-log-exp
5×associate-/r*
4×pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 146
Calls
4 calls:
5.0ms
(/ 1 (- a z))
15.0ms
(* (- t x) (/ 1 (- a z)))
3.0ms
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
15.0ms
(* (- y z) (* (- t x) (/ 1 (- a z))))

series101.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ 1 (- a z))
12.0ms
(* (- t x) (/ 1 (- a z)))
50.0ms
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
34.0ms
(* (- y z) (* (- t x) (/ 1 (- a z))))

simplify67.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05851025
12810908
25003863

prune123.0ms

Filtered
98 candidates to 158 candidates (-61.2%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1580158
Fresh01010
Picked011
Done022
Total15813171

Merged error: 4.0b

Counts
171 → 13

regimes731.0ms

Accuracy

47.1% (4.3b remaining)

Error of 8.5b against oracle of 4.3b and baseline of 12.3b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04651
14651

end0.0ms

sample4.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.866699%

Guaranteed chance to sample good point: 38.443541%

Results
276.0ms6529×body80valid
67.0ms464×body640valid
56.0ms287×body1280valid
53.0ms403×body320valid
51.0ms1183×body80invalid
22.0ms292×body160valid
5.0ms25×body2560valid

Profiling

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