Details

Time bar (total: 5.3s)

analyze701.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%74.9%25.1%8
6.2%68.6%25.1%9
7.8%67.1%25.1%10
10.1%64.7%25.1%11
14.8%47.6%37.6%12
15.8%36.8%47.4%13
16.6%35.1%48.3%14

sample54.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
11.0ms208×body80invalid
7.0ms134×body80nan

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
0507017

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 2

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log
7×prod-exp
6×add-cbrt-cube
3×pow1 associate-*l* cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l/
1×pow-to-exp flip3-- associate-*r* pow-prod-down pow-exp *-commutative flip-- add-log-exp
Counts
1 → 21
Calls
1 calls:
19.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t)))

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t)))

simplify29.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05220429

prune78.0ms

Filtered
16 candidates to 24 candidates (-50.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New18624
Fresh011
Picked101
Done000
Total19726

Merged error: 0.1b

Counts
26 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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:
11.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
4.0ms
(/ (* t t) 2.0)
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series60.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
3.0ms
(/ (* t t) 2.0)
16.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04993841
14993841

prune143.0ms

Filtered
50 candidates to 71 candidates (-42.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New66571
Fresh336
Picked011
Done000
Total69978

Merged error: 0.0b

Counts
78 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

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:
13.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
4.0ms
(/ (* t t) 2.0)
7.0ms
(* (- (* x 0.5) y) (sqrt z))
9.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series78.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
3.0ms
(/ (* t t) 2.0)
13.0ms
(* (- (* x 0.5) y) (sqrt z))
17.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
053561240

prune184.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1003103
Fresh437
Picked011
Done011
Total1048112

Merged error: 0b

Counts
112 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* t t) 2.0)
0.2b
(* (- (* 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)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
32×pow1
27×add-cbrt-cube
20×prod-exp cbrt-unprod
19×pow-prod-down
14×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
11×associate-*r*
10×associate-*l*
7×sqrt-prod
6×cbrt-prod associate-*l/
4×add-log-exp
3×times-frac associate-/r* *-commutative
2×cbrt-undiv flip3-- div-exp flip-- unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 99
Calls
4 calls:
4.0ms
(/ (* t t) 2.0)
13.0ms
(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
9.0ms
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
17.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

series77.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
40.0ms
(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
16.0ms
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
17.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050281125

prune215.0ms

Filtered
76 candidates to 111 candidates (-46.1%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh055
Picked011
Done022
Total1118119

Merged error: 0b

Counts
119 → 8

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
01917
11917

end0.0ms

analyze707.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%74.9%25.1%8
6.2%68.6%25.1%9
7.8%67.1%25.1%10
10.1%64.7%25.1%11
14.8%47.6%37.6%12
15.8%36.8%47.4%13
16.6%35.1%48.3%14

sample1.5s

Algorithm
intervals
Results
455.0ms8000×body80valid
343.0ms6038×body80invalid
246.0ms4387×body80nan

Profiling

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