Details

Time bar (total: 5.0s)

analyze742.0ms

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

sample51.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
10.0ms170×body80invalid
6.0ms120×body80nan

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
0518917

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: 0.2b

Counts
2 → 2

localize12.0ms

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

rewrite27.0ms

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)
12.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
9.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series60.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ (* t t) 2.0)
43.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
14.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify54.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04969861
14969861

prune148.0ms

Filtered
52 candidates to 71 candidates (-36.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New64771
Fresh011
Picked101
Done000
Total65873

Merged error: 0.0b

Counts
73 → 8

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×add-exp-log add-cube-cbrt *-un-lft-identity
14×pow-pow
13×exp-prod
10×prod-exp add-cbrt-cube
9×times-frac
8×associate-*r*
7×unpow-prod-down associate-*l*
6×pow1
4×cbrt-unprod
3×pow-to-exp pow-unpow pow-exp add-log-exp unswap-sqr sqr-pow
2×associate-*l/ *-commutative
1×flip3-- pow-prod-down sqrt-prod flip-- div-inv
Counts
3 → 77
Calls
3 calls:
5.0ms
(pow (exp (/ t 2.0)) t)
8.0ms
(* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t))
11.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t)))

series73.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(pow (exp (/ t 2.0)) t)
21.0ms
(* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t))
48.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t)))

simplify48.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049641129
149641129

prune210.0ms

Filtered
65 candidates to 86 candidates (-32.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New84286
Fresh077
Picked101
Done000
Total85994

Merged error: 0.0b

Counts
94 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (pow (exp (/ t 2.0)) t) 3))
0.0b
(* (sqrt (* z 2.0)) (cbrt (pow (pow (exp (/ t 2.0)) t) 3)))
0.0b
(pow (pow (exp (/ t 2.0)) t) 3)
0.2b
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (cbrt (pow (pow (exp (/ t 2.0)) t) 3))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-prod
44×unpow-prod-down
37×add-sqr-sqrt
24×cube-prod associate-*r*
22×add-cube-cbrt *-un-lft-identity
12×add-exp-log sqr-pow
11×pow1
10×add-cbrt-cube
9×unswap-sqr
7×associate-*l*
4×pow-prod-down pow-exp prod-exp cbrt-unprod add-log-exp
3×cube-mult pow-unpow unpow3
2×pow-to-exp associate-*l/ *-commutative
1×flip3-- pow-pow pow1/3 sqrt-prod flip-- rem-cbrt-cube rem-cube-cbrt
Counts
4 → 129
Calls
4 calls:
7.0ms
(cbrt (pow (pow (exp (/ t 2.0)) t) 3))
14.0ms
(* (sqrt (* z 2.0)) (cbrt (pow (pow (exp (/ t 2.0)) t) 3)))
5.0ms
(pow (pow (exp (/ t 2.0)) t) 3)
14.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (cbrt (pow (pow (exp (/ t 2.0)) t) 3))))

series80.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(cbrt (pow (pow (exp (/ t 2.0)) t) 3))
22.0ms
(* (sqrt (* z 2.0)) (cbrt (pow (pow (exp (/ t 2.0)) t) 3)))
9.0ms
(pow (pow (exp (/ t 2.0)) t) 3)
45.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (cbrt (pow (pow (exp (/ t 2.0)) t) 3))))

simplify48.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
054741950

prune251.0ms

Filtered
82 candidates to 141 candidates (-72.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1410141
Fresh088
Picked011
Done000
Total1419150

Merged error: 0.0b

Counts
150 → 9

localize13.0ms

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))
0.5b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite43.0ms

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:
5.0ms
(/ (* t t) 2.0)
15.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
10.0ms
(* (- (* x 0.5) y) (sqrt z))
11.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series82.0ms

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))

simplify45.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
050121257

prune152.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New994103
Fresh527
Picked011
Done011
Total1048112

Merged error: 0b

Counts
112 → 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 (1.0ms)

IterNodesCost
03220
13220

end0.0ms

sample1.5s

Algorithm
intervals
Results
463.0ms8000×body80valid
346.0ms6054×body80invalid
256.0ms4397×body80nan

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