Details

Time bar (total: 7.0s)

sample1.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 59.033203%

Guaranteed chance to sample good point: 66.239571%

Results
16.0ms271×body80invalid
16.0ms256×body80valid
6.0ms98×body80nan

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0259
1419
2889
31659
42879
56259
620149
750029

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (/ (* t t) 2.0))
0.0b
(/ (* t t) 2.0)
0.2b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×exp-prod
6×times-frac
5×pow1
4×associate-*r* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod div-inv
1×flip3-- frac-2neg pow-prod-down clear-num sqrt-prod *-commutative flip-- rem-exp-log associate-/l* unswap-sqr
Counts
3 → 57
Calls
3 calls:
2.0ms
(exp (/ (* t t) 2.0))
4.0ms
(/ (* t t) 2.0)
11.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series20.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(exp (/ (* t t) 2.0))
3.0ms
(/ (* t t) 2.0)
14.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify34.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0301327
11157291
25001291

prune155.0ms

Filtered
51 candidates to 66 candidates (-29.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New58866
Fresh000
Picked011
Done000
Total58967

Merged error: 0.0b

Counts
67 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (* t t) 2.0))
0.0b
(/ (* t t) 2.0)
0.2b
(* (- (* x 0.5) y) (sqrt z))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity
12×associate-*r*
11×pow1
7×exp-prod sqrt-prod
6×times-frac associate-*l/
5×prod-exp cbrt-unprod add-log-exp
4×associate-*l* pow-prod-down
3×associate-/r*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- div-inv unswap-sqr
1×frac-2neg clear-num rem-exp-log associate-/l*
Counts
4 → 83
Calls
4 calls:
2.0ms
(exp (/ (* t t) 2.0))
4.0ms
(/ (* t t) 2.0)
7.0ms
(* (- (* x 0.5) y) (sqrt z))
10.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series32.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(exp (/ (* t t) 2.0))
3.0ms
(/ (* t t) 2.0)
11.0ms
(* (- (* x 0.5) y) (sqrt z))
16.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0395527
11723471
25002471

prune167.0ms

Filtered
70 candidates to 95 candidates (-35.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New93295
Fresh527
Picked011
Done011
Total986104

Merged error: 0.0b

Counts
104 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* t t) 2.0)
0.2b
(* (- (* x 0.5) y) (sqrt z))
0.3b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
0.3b
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
24×associate-*r*
22×sqrt-prod
20×pow1
19×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
12×associate-*l/
11×prod-exp cbrt-unprod
10×pow-prod-down
5×associate-*l*
4×add-log-exp
3×flip3-- times-frac associate-/r* *-commutative flip--
2×cbrt-undiv div-exp unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 100
Calls
4 calls:
4.0ms
(/ (* t t) 2.0)
7.0ms
(* (- (* x 0.5) y) (sqrt z))
11.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
15.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
13.0ms
(* (- (* x 0.5) y) (sqrt z))
17.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
15.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

simplify62.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0490862
12361738
25001726

prune219.0ms

Filtered
73 candidates to 112 candidates (-53.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1111112
Fresh123
Picked011
Done022
Total1126118

Merged error: 0b

Counts
118 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (sqrt z))
0.3b
(* (- (* x 0.5) y) (sqrt (sqrt z)))
0.3b
(* (* (- (* x 0.5) y) (sqrt (sqrt z))) (sqrt (sqrt z)))
0.4b
(* (* (* (- (* x 0.5) y) (sqrt (sqrt z))) (sqrt (sqrt z))) (sqrt 2.0))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
34×sqrt-prod
24×associate-*r*
23×add-sqr-sqrt
22×pow1
20×add-exp-log add-cbrt-cube
15×add-cube-cbrt *-un-lft-identity
12×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×sqrt-pow1 add-log-exp
3×flip3-- *-commutative flip-- unswap-sqr
2×rem-sqrt-square pow1/2
Counts
4 → 99
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
8.0ms
(* (- (* x 0.5) y) (sqrt (sqrt z)))
12.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt z))) (sqrt (sqrt z)))
15.0ms
(* (* (* (- (* x 0.5) y) (sqrt (sqrt z))) (sqrt (sqrt z))) (sqrt 2.0))

series60.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt z))
18.0ms
(* (- (* x 0.5) y) (sqrt (sqrt z)))
13.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt z))) (sqrt (sqrt z)))
16.0ms
(* (* (* (- (* x 0.5) y) (sqrt (sqrt z))) (sqrt (sqrt z))) (sqrt 2.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0471882
12039742
25002698

prune140.0ms

Filtered
68 candidates to 111 candidates (-63.2%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1110111
Fresh022
Picked011
Done033
Total1116117

Merged error: 0b

Counts
117 → 6

regimes1.1s

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199
1199

end0.0ms

sample3.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 59.033203%

Guaranteed chance to sample good point: 66.239571%

Results
550.0ms8743×body80invalid
511.0ms8000×body80valid
186.0ms2986×body80nan

Profiling

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