Details

Time bar (total: 5.3s)

sample1.7s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 18.615723%

Guaranteed chance to sample good point: 49.985001%

Results
7.0ms256×body80valid
2.0ms62×body80invalid

simplify87.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1284
2804
32544
46414
510664
623734
739144
850014

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y z) (- t x)))
0.0b
(* (- y z) (- t x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity
6×flip3-- flip--
5×associate-*r* associate-*l*
4×pow1 add-exp-log distribute-rgt-in frac-times add-cube-cbrt sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
2×associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 49
Calls
2 calls:
4.0ms
(+ x (* (- y z) (- t x)))
9.0ms
(* (- y z) (- t x))

series24.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(+ x (* (- y z) (- t x)))
9.0ms
(* (- y z) (- t x))

simplify36.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0290310
11174292
25001291

prune68.0ms

Filtered
40 candidates to 55 candidates (-37.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New51455
Fresh000
Picked101
Done000
Total52456

Merged error: 0b

Counts
56 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
0.0b
(* (- y z) t)
0.0b
(+ (* (- y z) t) (* (- y z) (neg x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l/ add-log-exp
9×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt flip3-- associate-*l* add-cbrt-cube flip--
4×frac-add sum-log distribute-rgt-neg-out
3×associate-*r*
2×+-commutative associate-+r- flip3-+ unsub-neg flip-+ distribute-lft-out
1×associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 56
Calls
3 calls:
7.0ms
(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
6.0ms
(* (- y z) t)
7.0ms
(+ (* (- y z) t) (* (- y z) (neg x)))

series34.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
7.0ms
(* (- y z) t)
13.0ms
(+ (* (- y z) t) (* (- y z) (neg x)))

simplify56.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0386461
11755405
25002405

prune74.0ms

Filtered
52 candidates to 65 candidates (-25.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New65065
Fresh033
Picked011
Done000
Total65469

Merged error: 0b

Counts
69 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- y z)) (cbrt (- y z)))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
10.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))

series109.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
26.0ms
(cbrt (- y z))
28.0ms
(cbrt (- y z))
26.0ms
(cbrt (- y z))

simplify125.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (115.0ms)

IterNodesCost
0288793
1873756
23999674
35001652

prune104.0ms

Filtered
78 candidates to 113 candidates (-44.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh022
Picked011
Done011
Total1134117

Merged error: 0b

Counts
117 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (sqrt (- y z)) (* (sqrt (- y z)) (- t x))))
0.2b
(* (sqrt (- y z)) (- t x))
0.2b
(* (sqrt (- y z)) (* (sqrt (- y z)) (- t x)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
42×sqrt-div
33×flip3-- flip--
32×frac-times
18×distribute-rgt-in add-sqr-sqrt distribute-lft-in
16×associate-*r/ associate-*l*
14×*-un-lft-identity
11×sqrt-prod
10×pow1 add-exp-log sub-neg associate-*l/ add-cbrt-cube
8×add-cube-cbrt associate-+r+
6×associate-*r*
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out-- difference-of-squares
2×*-commutative unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 114
Calls
3 calls:
4.0ms
(+ x (* (sqrt (- y z)) (* (sqrt (- y z)) (- t x))))
12.0ms
(* (sqrt (- y z)) (- t x))
15.0ms
(* (sqrt (- y z)) (* (sqrt (- y z)) (- t x)))

series56.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ x (* (sqrt (- y z)) (* (sqrt (- y z)) (- t x))))
32.0ms
(* (sqrt (- y z)) (- t x))
10.0ms
(* (sqrt (- y z)) (* (sqrt (- y z)) (- t x)))

simplify59.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05061093
11986977
25003977

prune101.0ms

Filtered
81 candidates to 123 candidates (-51.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1230123
Fresh011
Picked011
Done022
Total1234127

Merged error: 0b

Counts
127 → 4

regimes267.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167
1207
2217
3217

end0.0ms

sample2.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 18.615723%

Guaranteed chance to sample good point: 49.985001%

Results
245.0ms8000×body80valid
59.0ms1973×body80invalid

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