Details

Time bar (total: 6.7s)

sample127.0ms

Algorithm
intervals
Results
37.0ms567×body80valid
32.0ms540×body80nan

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
0542117

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.3b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
15×add-cbrt-cube
13×add-exp-log
10×pow1 add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×associate-*l/
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down
3×times-frac associate-/r* add-log-exp
2×cbrt-undiv flip3-- div-exp *-commutative flip--
1×frac-2neg clear-num sqrt-prod div-inv associate-/l* unswap-sqr
Counts
3 → 62
Calls
3 calls:
5.0ms
(/ (* t t) 2.0)
14.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
12.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series64.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ (* t t) 2.0)
45.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
16.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify26.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
04989861
14989861

prune163.0ms

Filtered
53 candidates to 71 candidates (-34.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New64771
Fresh000
Picked011
Done000
Total64872

Merged error: 0.0b

Counts
72 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* t t) 2.0)
0.0b
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.3b
(* (- (* x 0.5) y) (sqrt z))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube
22×add-exp-log
20×pow1
16×add-sqr-sqrt
15×associate-*r*
12×add-cube-cbrt *-un-lft-identity associate-*l/
11×prod-exp cbrt-unprod
10×pow-prod-down
7×sqrt-prod
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 → 91
Calls
4 calls:
7.0ms
(/ (* t t) 2.0)
16.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
8.0ms
(* (- (* x 0.5) y) (sqrt z))
11.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series81.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
49.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
18.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049831243
149831243

prune192.0ms

Filtered
71 candidates to 103 candidates (-45.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1003103
Fresh426
Picked011
Done011
Total1047111

Merged error: 0b

Counts
111 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
52×pow1
47×add-exp-log
36×add-cbrt-cube
34×pow-prod-down prod-exp cbrt-unprod
14×associate-*r*
13×add-sqr-sqrt
12×associate-*l/
11×add-cube-cbrt *-un-lft-identity associate-*l*
7×sqrt-prod
6×cbrt-prod
4×*-commutative add-log-exp
3×flip3-- flip--
2×unswap-sqr
Counts
4 → 107
Calls
4 calls:
31.0ms
(* (* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
16.0ms
(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
11.0ms
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
20.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

series129.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
44.0ms
(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
15.0ms
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
18.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
058701598

prune233.0ms

Filtered
76 candidates to 119 candidates (-56.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1181119
Fresh134
Picked011
Done022
Total1197126

Merged error: 0b

Counts
126 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
36×pow1
34×add-cbrt-cube
30×add-exp-log sqrt-prod
26×add-sqr-sqrt
22×associate-*r* pow-prod-down
20×prod-exp cbrt-unprod
14×add-cube-cbrt *-un-lft-identity
12×associate-*l/
11×associate-*l*
6×unswap-sqr
4×*-commutative add-log-exp
3×flip3-- flip--
2×sqrt-pow1 pow1/2
1×sqrt-unprod
Counts
4 → 110
Calls
4 calls:
22.0ms
(* (* (* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
12.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0))))
17.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
9.0ms
(* (sqrt z) (sqrt (sqrt 2.0)))

series93.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (* (* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
19.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0))))
18.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
6.0ms
(* (sqrt z) (sqrt (sqrt 2.0)))

simplify30.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
051641692

prune226.0ms

Filtered
78 candidates to 122 candidates (-56.4%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1220122
Fresh033
Picked011
Done033
Total1227129

Merged error: 0b

Counts
129 → 7

regimes1.0s

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
01917
11917

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.1s18196×body80nan
1.1s18190×body80valid

Profiling

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