Details

Time bar (total: 4.7s)

analyze768.0ms

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

sample56.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
13.0ms196×body80invalid
8.0ms142×body80nan

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (71.0ms)

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: 0.5b

Counts
2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
9×pow1
7×exp-prod
6×times-frac
5×add-log-exp
4×associate-*r*
3×associate-*l* associate-/r*
2×cbrt-undiv sqrt-pow1 div-exp pow-prod-down associate-*l/ prod-exp sqrt-prod cbrt-unprod div-inv
1×flip3-- frac-2neg pow1/2 clear-num *-commutative flip-- rem-exp-log associate-/l* unswap-sqr
Counts
4 → 68
Calls
4 calls:
2.0ms
(exp (/ (* t t) 2.0))
4.0ms
(/ (* t t) 2.0)
2.0ms
(sqrt (* z 2.0))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series26.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(exp (/ (* t t) 2.0))
3.0ms
(/ (* t t) 2.0)
4.0ms
(sqrt (* z 2.0))
16.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify35.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05914660

prune172.0ms

Filtered
63 candidates to 80 candidates (-27.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New73780
Fresh011
Picked101
Done000
Total74882

Merged error: 0.0b

Counts
82 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (* t t) 2.0))
0.0b
(/ (* t t) 2.0)
0.3b
(* (- (* x 0.5) y) (sqrt z))
0.5b
(* (* (- (* 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)
8.0ms
(* (- (* x 0.5) y) (sqrt z))
10.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series35.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(exp (/ (* t t) 2.0))
3.0ms
(/ (* t t) 2.0)
10.0ms
(* (- (* x 0.5) y) (sqrt z))
19.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04956857
14956857

prune174.0ms

Filtered
69 candidates to 95 candidates (-37.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New92395
Fresh347
Picked011
Done000
Total958103

Merged error: 0b

Counts
103 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 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)))

rewrite50.0ms

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)
14.0ms
(* (- (* 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))))
20.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

series74.0ms

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)))))
14.0ms
(* (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)))

simplify57.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049611343
149611343

prune239.0ms

Filtered
71 candidates to 111 candidates (-56.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1110111
Fresh066
Picked011
Done011
Total1118119

Merged error: 0b

Counts
119 → 8

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log
12×add-sqr-sqrt
10×prod-exp add-cbrt-cube
8×pow1 associate-*r*
7×add-cube-cbrt *-un-lft-identity associate-*l*
4×unpow-prod-down cbrt-unprod
3×add-log-exp unswap-sqr
2×pow-to-exp sqrt-pow1 pow-prod-down associate-*l/ pow-exp sqrt-prod *-commutative sqr-pow
1×flip3-- pow1/2 flip--
Counts
3 → 58
Calls
3 calls:
8.0ms
(* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t))
2.0ms
(sqrt (* z 2.0))
11.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t)))

series74.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t))
4.0ms
(sqrt (* z 2.0))
48.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t)))

simplify33.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
04971981
14971981

prune123.0ms

Filtered
50 candidates to 67 candidates (-34.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New67067
Fresh055
Picked011
Done022
Total67875

Merged error: 0b

Counts
75 → 8

regimes984.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03427
13427

end0.0ms

sample1.5s

Algorithm
intervals
Results
440.0ms8000×body80valid
346.0ms6153×body80invalid
250.0ms4505×body80nan

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