Details

Time bar (total: 23.9s)

sample10.9s

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
1.0ms53×body80invalid

simplify81.0ms

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

localize7.0ms

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)))
8.0ms
(* (- y z) (- t x))

series26.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(+ x (* (- y z) (- t x)))
9.0ms
(* (- y z) (- t x))

simplify34.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0290310
11174292
25001291

prune70.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New50555
Fresh000
Picked101
Done000
Total51556

Merged error: 0.0b

Counts
56 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
13×associate-*r*
12×associate-*l/
11×add-log-exp
10×add-cube-cbrt associate-*l*
8×pow1 add-exp-log add-cbrt-cube
6×flip3-- flip--
5×distribute-rgt-neg-out
4×frac-add sum-log
3×distribute-lft-neg-in distribute-rgt-neg-in
2×+-commutative associate-+r- flip3-+ unsub-neg pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
1×neg-mul-1 associate-+r+
Counts
4 → 86
Calls
4 calls:
7.0ms
(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
7.0ms
(* (- y z) (neg x))
6.0ms
(* (- y z) t)
7.0ms
(+ (* (- y z) t) (* (- y z) (neg x)))

series43.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
7.0ms
(* (- y z) (neg x))
9.0ms
(* (- y z) t)
13.0ms
(+ (* (- y z) t) (* (- y z) (neg x)))

simplify59.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0464589
12070523
25003518

prune144.0ms

Filtered
78 candidates to 98 candidates (-25.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New97198
Fresh044
Picked101
Done000
Total985103

Merged error: 0b

Counts
103 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
10.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series146.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt x) (cbrt x))
39.0ms
(cbrt x)
42.0ms
(cbrt x)
39.0ms
(cbrt x)

simplify73.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune86.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done000
Total85590

Merged error: 0b

Counts
90 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- t x)) (cbrt (- t x)))
0.5b
(cbrt (- t x))
0.5b
(cbrt (- t x))
0.5b
(cbrt (- t x))

rewrite24.0ms

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 (- t x)) (cbrt (- t x)))
3.0ms
(cbrt (- t x))
3.0ms
(cbrt (- t x))
4.0ms
(cbrt (- t x))

series112.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (cbrt (- t x)) (cbrt (- t x)))
26.0ms
(cbrt (- t x))
29.0ms
(cbrt (- t x))
26.0ms
(cbrt (- t x))

simplify129.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (117.0ms)

IterNodesCost
0287793
1868756
23985674
35002652

prune98.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh033
Picked011
Done011
Total1135118

Merged error: 0b

Counts
118 → 5

regimes299.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02312
13112
23412
33412

end0.0ms

sample11.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 18.615723%

Guaranteed chance to sample good point: 49.985001%

Results
232.0ms8000×body80valid
50.0ms1848×body80invalid

Profiling

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