Details

Time bar (total: 6.8s)

sample51.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
16.0ms265×body80nan

simplify77.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* 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))))))

rewrite35.0ms

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:
5.0ms
(* 5.0 (* 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))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
19.0ms
(* PI t)
802.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
198.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify113.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
07721158
143501002
250031002

prune287.0ms

Filtered
106 candidates to 72 candidates (67.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New988106
Fresh000
Picked101
Done000
Total998107

Merged error: 0.1b

Counts
107 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* PI t)
0.3b
(/ 1 (* (* (* 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))))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
50×add-exp-log
30×add-cbrt-cube
26×pow1
25×prod-exp
18×associate-*r/
13×add-sqr-sqrt pow-prod-down cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×sqrt-div div-exp associate-*r* associate-/r/
7×flip3-- associate-*l* flip--
4×cbrt-undiv frac-times rec-exp pow-flip 1-exp add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ unswap-sqr
1×frac-2neg clear-num associate-/r* sqrt-prod div-inv inv-pow
Counts
4 → 104
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
14.0ms
(/ 1 (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series667.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
432.0ms
(/ 1 (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
191.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify95.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
06581021
13512899
25002893

prune259.0ms

Filtered
116 candidates to 66 candidates (56.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1142116
Fresh167
Picked011
Done000
Total1159124

Merged error: 0.1b

Counts
124 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

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:
5.0ms
(* 5.0 (* 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))))))

series765.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 5.0 (* v v))
19.0ms
(* PI t)
518.0ms
(/ 1 (/ (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
196.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify119.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
08151978
144941755
250031706

prune281.0ms

Filtered
142 candidates to 73 candidates (51.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1393142
Fresh077
Picked101
Done011
Total14011151

Merged error: 0.1b

Counts
151 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

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:
5.0ms
(* 5.0 (* 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))))
13.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
7.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series953.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
586.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
191.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
152.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify108.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07971300
142701138
250011138

prune267.0ms

Filtered
108 candidates to 76 candidates (70.4%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1071108
Fresh189
Picked011
Done011
Total10811119

Merged error: 0.1b

Counts
119 → 11

regimes255.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03015
13015

end0.0ms

sample1.3s

Algorithm
intervals
Results
509.0ms8000×body80valid
494.0ms8093×body80nan

Profiling

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