Details

Time bar (total: 7.2s)

sample50.0ms

Algorithm
intervals
Results
17.0ms293×body80nan
15.0ms256×body80valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* PI t)
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×cbrt-undiv frac-times div-exp add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 94
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
6.0ms
(* PI t)
14.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
8.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series810.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 3.0 (* v v))
19.0ms
(* PI t)
575.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
189.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify105.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07701153
143251002
250021002

prune284.0ms

Filtered
106 candidates to 72 candidates (67.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New9610106
Fresh000
Picked101
Done000
Total9710107

Merged error: 0.1b

Counts
107 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* PI t)
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
8×associate-*r/ associate-*r*
7×associate-*l* pow-prod-down
4×sqrt-div add-log-exp
3×cbrt-undiv flip3-- times-frac div-exp *-commutative flip-- associate-/l*
2×associate-/r/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 86
Calls
4 calls:
5.0ms
(* 3.0 (* v v))
3.0ms
(* PI t)
11.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
8.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series720.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
23.0ms
(* PI t)
484.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
189.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify77.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0610867
13186756
25001756

prune247.0ms

Filtered
98 candidates to 66 candidates (67.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New94498
Fresh369
Picked011
Done000
Total9711108

Merged error: 0.1b

Counts
108 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* PI t)
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
0.5b
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
46×times-frac
30×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
25×add-exp-log add-cbrt-cube
11×pow1
10×associate-/l*
8×sqrt-prod
7×cbrt-undiv div-exp div-inv
6×associate-*l* prod-exp cbrt-unprod
5×associate-/r*
4×associate-*r* pow-prod-down add-log-exp
3×div-sub associate-/l/
2×flip3-- frac-2neg sqrt-div associate-*r/ clear-num associate-/r/ *-commutative flip-- unswap-sqr
Counts
4 → 120
Calls
4 calls:
5.0ms
(* 3.0 (* v v))
3.0ms
(* PI t)
6.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
11.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series629.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
19.0ms
(* PI t)
83.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
502.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify83.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07031484
133531354
250011354

prune363.0ms

Filtered
132 candidates to 96 candidates (72.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1275132
Fresh729
Picked101
Done101
Total1367143

Merged error: 0b

Counts
143 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (/ (/ 1 PI) (sqrt 2.0)) (/ (/ (- 1.0 (* 5.0 (* v v))) t) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
0.2b
(* 5.0 (* v v))
0.2b
(* 3.0 (* v v))
0.3b
(* (/ (/ 1 PI) (sqrt 2.0)) (/ (/ (- 1.0 (* 5.0 (* v v))) t) (sqrt (- 1.0 (* 3.0 (* v v))))))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
360×times-frac
302×add-sqr-sqrt
156×*-un-lft-identity
151×add-exp-log
146×add-cube-cbrt
107×sqrt-prod
97×add-cbrt-cube
88×associate-*l*
86×associate-*r*
82×div-exp
46×cbrt-undiv
37×unswap-sqr
36×prod-exp
24×cbrt-unprod
16×pow1
15×div-inv
7×pow-prod-down
6×rec-exp 1-exp
4×associate-/r* associate-/r/ add-log-exp
3×*-commutative associate-/l/
2×frac-times flip3-- sqrt-div associate-*r/ associate-*l/ flip-- difference-of-squares
1×frac-2neg clear-num associate-/l*
Counts
4 → 325
Calls
4 calls:
24.0ms
(/ (* (/ (/ 1 PI) (sqrt 2.0)) (/ (/ (- 1.0 (* 5.0 (* v v))) t) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
5.0ms
(* 5.0 (* v v))
6.0ms
(* 3.0 (* v v))
97.0ms
(* (/ (/ 1 PI) (sqrt 2.0)) (/ (/ (- 1.0 (* 5.0 (* v v))) t) (sqrt (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
610.0ms
(/ (* (/ (/ 1 PI) (sqrt 2.0)) (/ (/ (- 1.0 (* 5.0 (* v v))) t) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
31.0ms
(* 5.0 (* v v))
25.0ms
(* 3.0 (* v v))
517.0ms
(* (/ (/ 1 PI) (sqrt 2.0)) (/ (/ (- 1.0 (* 5.0 (* v v))) t) (sqrt (- 1.0 (* 3.0 (* v v))))))

simplify85.0ms

Algorithm
egg-herbie
Counts
337 → 337
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
019165832
150015242

prune786.0ms

Filtered
337 candidates to 188 candidates (55.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3370337
Fresh066
Picked011
Done000
Total3377344

Merged error: 0b

Counts
344 → 7

regimes152.0ms

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
02716
12716

end0.0ms

sample1.2s

Algorithm
intervals
Results
488.0ms8000×body80valid
475.0ms8122×body80nan

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