Details

Time bar (total: 5.7s)

sample57.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
15.0ms253×body80nan

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.3b
(* PI t)
0.4b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite36.0ms

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))
3.0ms
(* PI t)
15.0ms
(/ (- 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))))))

series66.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* v v))
2.0ms
(* PI t)
42.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
19.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify104.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07701153
143251002
250021002

prune714.0ms

Filtered
106 candidates to 72 candidates (32.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New9610106
Fresh000
Picked101
Done000
Total9710107

Merged error: 0.3b

Counts
107 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.3b
(* PI t)
0.4b
(/ 1 (/ (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
39×times-frac
36×add-cbrt-cube
29×add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity
25×prod-exp
22×div-exp
17×pow1
13×cbrt-unprod
9×cbrt-undiv associate-/r* associate-/r/
8×associate-*r*
7×associate-*l* pow-prod-down
5×rec-exp flip3-- 1-exp flip-- div-inv
4×associate-*r/ add-log-exp
3×*-commutative associate-/l*
2×sqrt-div unswap-sqr
1×pow-flip frac-2neg clear-num sqrt-prod inv-pow
Counts
4 → 130
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
3.0ms
(* PI t)
14.0ms
(/ 1 (/ (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series87.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* v v))
2.0ms
(* PI t)
62.0ms
(/ 1 (/ (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
20.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify114.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
08151976
144941755
250011706

prune772.0ms

Filtered
142 candidates to 72 candidates (49.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1402142
Fresh369
Picked011
Done000
Total1439152

Merged error: 0.2b

Counts
152 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log associate-*r/ add-cbrt-cube
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity sqrt-div
9×flip3-- associate-*l* flip--
8×associate-/r/
7×pow-prod-down
6×associate-*r*
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 → 96
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
8.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
7.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
15.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

series83.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* 3.0 (* v v))
19.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
18.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
41.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

simplify102.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07951295
142451138
250011138

prune833.0ms

Filtered
108 candidates to 76 candidates (29.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1071108
Fresh077
Picked011
Done011
Total10710117

Merged error: 0.2b

Counts
117 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (sqrt PI) (* (sqrt PI) t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.5b
(* (* (sqrt PI) (* (sqrt PI) t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log add-cbrt-cube
18×associate-*r/
16×prod-exp cbrt-unprod
15×pow1
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-/r/ flip--
7×sqrt-prod
6×pow-prod-down
5×cbrt-undiv div-exp
4×frac-times associate-*r* add-log-exp
3×times-frac associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ associate-/l/
1×frac-2neg div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
21.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (sqrt PI) (* (sqrt PI) t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
12.0ms
(* (* (sqrt PI) (* (sqrt PI) t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
1.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series58.0ms

Counts
4 → 8
Calls
4 calls:
38.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (sqrt PI) (* (sqrt PI) t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
20.0ms
(* (* (sqrt PI) (* (sqrt PI) t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify113.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
07661301
144161068
250021054

prune602.0ms

Filtered
96 candidates to 68 candidates (29.2%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New93396
Fresh257
Picked011
Done022
Total9511106

Merged error: 0.2b

Counts
106 → 11

regimes340.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02915
12915

end0.0ms

sample1.4s

Algorithm
intervals
Results
480.0ms8001×body80valid
472.0ms7983×body80nan

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