Details

Time bar (total: 10.3s)

sample3.4s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 15.863037%

Guaranteed chance to sample good point: 84.628219%

Results
12.0ms256×body80valid
0.0ms12×body80invalid

simplify89.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (36.0ms)

IterNodesCost
0226
1466
21116
32376
44056
55956
69196
726275
850015

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x z) y)
0.0b
(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×associate-/r*
2×pow1 associate-+r+ associate-/l/
1×cbrt-undiv +-commutative distribute-rgt-in flip3-- frac-2neg distribute-lft-in flip3-+ div-sub div-exp clear-num sum-log flip-- flip-+ div-inv
Counts
2 → 51
Calls
2 calls:
6.0ms
(/ (- x z) y)
3.0ms
(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (- x z) y)
7.0ms
(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))

simplify84.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0263320
1854293
23889293
35001293

prune64.0ms

Filtered
42 candidates to 57 candidates (-35.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New55257
Fresh000
Picked101
Done000
Total56258

Merged error: 0.0b

Counts
58 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 4.0 (* 4.0 (/ (- x z) y)))
0.0b
(* 4.0 (/ (- x z) y))
0.0b
(/ (- x z) y)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
3.0ms
(+ 4.0 (* 4.0 (/ (- x z) y)))
9.0ms
(* 4.0 (/ (- x z) y))
8.0ms
(/ (- x z) y)

series21.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(+ 4.0 (* 4.0 (/ (- x z) y)))
8.0ms
(* 4.0 (/ (- x z) y))
6.0ms
(/ (- x z) y)

simplify45.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0336490
11562452
25001451

prune81.0ms

Filtered
66 candidates to 96 candidates (-45.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New95196
Fresh101
Picked011
Done000
Total96298

Merged error: 0.0b

Counts
98 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x z) y)
0.0b
(/ (- x z) y)
0.3b
(* (/ (- x z) y) (* 4.0 (/ (- x z) y)))
16.8b
(/ (* 4.0 (- 4.0 (* (/ (- x z) y) (* 4.0 (/ (- x z) y))))) (- 4.0 (* 4.0 (/ (- x z) y))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt *-un-lft-identity
48×times-frac
35×add-cube-cbrt
34×add-exp-log add-cbrt-cube
19×associate-*l*
11×prod-exp cbrt-unprod associate-/l* distribute-lft-out-- difference-of-squares
9×pow1 cbrt-undiv div-exp associate-/r*
6×associate-/l/
5×associate-*r/
4×flip3-- flip-- div-inv add-log-exp
3×frac-2neg pow-prod-down clear-num
2×div-sub associate-/r/
1×frac-times associate-*r* associate-*l/ *-commutative
Counts
4 → 146
Calls
4 calls:
6.0ms
(/ (- x z) y)
6.0ms
(/ (- x z) y)
14.0ms
(* (/ (- x z) y) (* 4.0 (/ (- x z) y)))
7.0ms
(/ (* 4.0 (- 4.0 (* (/ (- x z) y) (* 4.0 (/ (- x z) y))))) (- 4.0 (* 4.0 (/ (- x z) y))))

series59.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (- x z) y)
6.0ms
(/ (- x z) y)
15.0ms
(* (/ (- x z) y) (* 4.0 (/ (- x z) y)))
32.0ms
(/ (* 4.0 (- 4.0 (* (/ (- x z) y) (* 4.0 (/ (- x z) y))))) (- 4.0 (* 4.0 (/ (- x z) y))))

simplify73.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05751292
129761111
250011111

prune158.0ms

Filtered
104 candidates to 158 candidates (-51.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1571158
Fresh000
Picked101
Done011
Total1582160

Merged error: 0b

Counts
160 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ 4.0 (* (cbrt (- 4.0 (* 4.0 (/ (- x z) y)))) (cbrt (- 4.0 (* 4.0 (/ (- x z) y))))))
0.7b
(* (cbrt (- 4.0 (* 4.0 (/ (- x z) y)))) (cbrt (- 4.0 (* 4.0 (/ (- x z) y)))))
3.9b
(/ (- 4.0 (* (/ (- x z) y) (* 4.0 (/ (- x z) y)))) (cbrt (- 4.0 (* 4.0 (/ (- x z) y)))))
13.2b
(* (/ 4.0 (* (cbrt (- 4.0 (* 4.0 (/ (- x z) y)))) (cbrt (- 4.0 (* 4.0 (/ (- x z) y)))))) (/ (- 4.0 (* (/ (- x z) y) (* 4.0 (/ (- x z) y)))) (cbrt (- 4.0 (* 4.0 (/ (- x z) y))))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
49×times-frac
44×add-cube-cbrt *-un-lft-identity
40×cbrt-div
39×cbrt-prod
34×add-exp-log
30×associate-*r*
22×add-cbrt-cube
21×flip3-- associate-*l* flip--
20×associate-/r/
13×pow1 frac-times
10×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
7×associate-*r/ associate-*l/ associate-/r*
6×pow1/3 swap-sqr associate-/l*
4×div-inv add-log-exp
3×pow-prod-down
2×frac-2neg clear-num pow-sqr *-commutative pow-prod-up associate-/l/
1×pow2 pow-plus div-sub
Counts
4 → 190
Calls
4 calls:
9.0ms
(/ 4.0 (* (cbrt (- 4.0 (* 4.0 (/ (- x z) y)))) (cbrt (- 4.0 (* 4.0 (/ (- x z) y))))))
8.0ms
(* (cbrt (- 4.0 (* 4.0 (/ (- x z) y)))) (cbrt (- 4.0 (* 4.0 (/ (- x z) y)))))
7.0ms
(/ (- 4.0 (* (/ (- x z) y) (* 4.0 (/ (- x z) y)))) (cbrt (- 4.0 (* 4.0 (/ (- x z) y)))))
23.0ms
(* (/ 4.0 (* (cbrt (- 4.0 (* 4.0 (/ (- x z) y)))) (cbrt (- 4.0 (* 4.0 (/ (- x z) y)))))) (/ (- 4.0 (* (/ (- x z) y) (* 4.0 (/ (- x z) y)))) (cbrt (- 4.0 (* 4.0 (/ (- x z) y))))))

series655.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(/ 4.0 (* (cbrt (- 4.0 (* 4.0 (/ (- x z) y)))) (cbrt (- 4.0 (* 4.0 (/ (- x z) y))))))
75.0ms
(* (cbrt (- 4.0 (* 4.0 (/ (- x z) y)))) (cbrt (- 4.0 (* 4.0 (/ (- x z) y)))))
398.0ms
(/ (- 4.0 (* (/ (- x z) y) (* 4.0 (/ (- x z) y)))) (cbrt (- 4.0 (* 4.0 (/ (- x z) y)))))
33.0ms
(* (/ 4.0 (* (cbrt (- 4.0 (* 4.0 (/ (- x z) y)))) (cbrt (- 4.0 (* 4.0 (/ (- x z) y)))))) (/ (- 4.0 (* (/ (- x z) y) (* 4.0 (/ (- x z) y)))) (cbrt (- 4.0 (* 4.0 (/ (- x z) y))))))

simplify143.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
09634587
148194137
250024068

prune726.0ms

Filtered
164 candidates to 202 candidates (-23.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2020202
Fresh000
Picked011
Done011
Total2022204

Merged error: 0b

Counts
204 → 2

regimes124.0ms

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
0104
1104

end0.0ms

sample4.4s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 15.863037%

Guaranteed chance to sample good point: 84.628219%

Results
314.0ms8000×body80valid
24.0ms549×body80invalid

Profiling

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