Details

Time bar (total: 7.8s)

sample2.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 9.301758%

Guaranteed chance to sample good point: 48.354643%

Results
9.0ms256×body80valid
3.0ms89×body80invalid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0164
1324
2694
31484
42384
53644
65184
76384
87404
98134
108424
118424

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
8.2b
(/ (* y (- z t)) a)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
6.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series18.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- z t))
12.0ms
(/ (* y (- z t)) a)

simplify33.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0231226
11033189
25002189

prune88.0ms

Filtered
35 candidates to 55 candidates (-57.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New48755
Fresh000
Picked011
Done000
Total48856

Merged error: 0.0b

Counts
56 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
4.9b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
19.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series84.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt a)
21.0ms
(cbrt a)
24.0ms
(cbrt a)
18.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify59.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0500954
12500845
25001783

prune138.0ms

Filtered
84 candidates to 116 candidates (-38.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1142116
Fresh156
Picked101
Done011
Total1168124

Merged error: 0.0b

Counts
124 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.0b
(* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a)))
1.8b
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
115×add-sqr-sqrt
94×times-frac
85×add-exp-log
77×cbrt-prod
63×*-un-lft-identity
51×add-cube-cbrt
50×associate-*l*
41×add-cbrt-cube
36×prod-exp cbrt-unprod
35×associate-*r*
26×cbrt-undiv div-exp
15×unswap-sqr
11×pow1
6×frac-times associate-*r/ distribute-lft-out-- difference-of-squares
4×pow-prod-down associate-*l/ add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 189
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
33.0ms
(* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a)))
20.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

series113.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
23.0ms
(cbrt y)
55.0ms
(* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a)))
13.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

simplify98.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
09092304
138471944
250021806

prune216.0ms

Filtered
138 candidates to 201 candidates (-45.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2001201
Fresh066
Picked011
Done011
Total2009209

Merged error: 0b

Counts
209 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt (* (cbrt a) (cbrt a)))
1.8b
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (/ (cbrt y) (cbrt a)) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
112×add-exp-log
51×add-cbrt-cube
46×prod-exp cbrt-unprod
41×cbrt-undiv div-exp
10×cbrt-prod associate-*l*
9×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
5×frac-times associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 101
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
4.0ms
(cbrt (* (cbrt a) (cbrt a)))
33.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (/ (cbrt y) (cbrt a)) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a)))))

series94.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
34.0ms
(cbrt (* (cbrt a) (cbrt a)))
18.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (/ (cbrt y) (cbrt a)) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a)))))

simplify77.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06572004
128541456
250021343

prune95.0ms

Filtered
67 candidates to 113 candidates (-68.7%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh066
Picked011
Done022
Total1139122

Merged error: 0b

Counts
122 → 9

regimes1.1s

Accuracy

67.6% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02312
12312

end0.0ms

sample3.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 9.301758%

Guaranteed chance to sample good point: 48.354643%

Results
306.0ms8000×body80valid
110.0ms2681×body80invalid

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