Details

Time bar (total: 37.8s)

sample17.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 4.736328%

Guaranteed chance to sample good point: 39.197847%

Results
9.0ms256×body80valid
2.0ms59×body80invalid

simplify39.0ms

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
7.3b
(/ (* 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)

series19.0ms

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 (6.0ms)

IterNodesCost
0231226
11033189
25002189

prune78.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New48755
Fresh000
Picked101
Done000
Total49756

Merged error: 0.0b

Counts
56 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
5.7b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite27.0ms

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)))

series86.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt a)
25.0ms
(cbrt a)
21.0ms
(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 (49.0ms)

IterNodesCost
0500954
12500845
25001783

prune127.0ms

Filtered
85 candidates to 116 candidates (-36.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1133116
Fresh246
Picked101
Done000
Total1167123

Merged error: 0.0b

Counts
123 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
6.9b
(* (/ (/ y (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
129×add-sqr-sqrt
124×times-frac
84×cbrt-prod
66×*-un-lft-identity
49×associate-*r*
48×add-cube-cbrt
36×add-exp-log
32×associate-*l*
22×add-cbrt-cube
20×unswap-sqr
14×cbrt-undiv div-exp
10×prod-exp cbrt-unprod
9×distribute-lft-out-- difference-of-squares
6×pow1 div-inv
4×add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 162
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
39.0ms
(* (/ (/ y (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a))))

series85.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt a)
22.0ms
(cbrt a)
21.0ms
(cbrt a)
18.0ms
(* (/ (/ y (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a))))

simplify94.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
08972551
141112380
250022354

prune184.0ms

Filtered
140 candidates to 174 candidates (-24.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1740174
Fresh066
Picked011
Done000
Total1747181

Merged error: 0.0b

Counts
181 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
5.7b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
28×add-cbrt-cube
17×add-sqr-sqrt
15×prod-exp cbrt-unprod
13×*-un-lft-identity
12×cbrt-undiv div-exp
11×add-cube-cbrt
9×cbrt-prod times-frac associate-*r*
7×associate-*l*
6×pow1
4×add-log-exp
3×pow1/3
2×div-inv unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
16.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)))))

series85.0ms

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

simplify55.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04121073
12092838
25003799

prune79.0ms

Filtered
60 candidates to 93 candidates (-55.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh055
Picked011
Done011
Total937100

Merged error: 0.0b

Counts
100 → 7

regimes651.0ms

Accuracy

75.9% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02918
12918

end0.0ms

sample18.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 4.736328%

Guaranteed chance to sample good point: 39.197847%

Results
287.0ms8000×body80valid
74.0ms2114×body80invalid

Profiling

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