Details

Time bar (total: 6.4s)

sample41.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
12.0ms250×body80nan

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 0.8b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.3b
(* PI t)
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.7b
(/ (- 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 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:
9.0ms
(* 3.0 (* v v))
3.0ms
(* PI t)
8.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
16.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series812.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
19.0ms
(* PI t)
189.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
581.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify117.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07531153
142561002
250021002

prune302.0ms

Filtered
106 candidates to 72 candidates (67.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New979106
Fresh000
Picked101
Done000
Total989107

Merged error: 0.5b

Counts
107 → 9

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.3b
(* PI t)
0.4b
(* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))
0.7b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))) (- (pow 1.0 3) (pow (* v v) 3))))

rewrite61.0ms

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))
4.0ms
(* PI t)
19.0ms
(* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))
29.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))) (- (pow 1.0 3) (pow (* v v) 3))))

series643.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
19.0ms
(* PI t)
233.0ms
(* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))
366.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))) (- (pow 1.0 3) (pow (* v v) 3))))

simplify106.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
06891325
139291124
250021124

prune500.0ms

Filtered
106 candidates to 72 candidates (67.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1060106
Fresh088
Picked011
Done000
Total1069115

Merged error: 0.5b

Counts
115 → 9

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.3b
(* PI t)
0.4b
(* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))
0.7b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (- (pow 1.0 3) (pow (* v v) 3))))

rewrite50.0ms

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))
4.0ms
(* PI t)
13.0ms
(* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))
24.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (- (pow 1.0 3) (pow (* v v) 3))))

series604.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 3.0 (* v v))
19.0ms
(* PI t)
178.0ms
(* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))
375.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (- (pow 1.0 3) (pow (* v v) 3))))

simplify109.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
06961480
140961256
250011256

prune428.0ms

Filtered
106 candidates to 70 candidates (66.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh077
Picked011
Done011
Total1069115

Merged error: 0.5b

Counts
115 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (sqrt PI) (* (sqrt PI) t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.7b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (sqrt PI) (* (sqrt PI) t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite38.0ms

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:
13.0ms
(* (* (sqrt PI) (* (sqrt PI) t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
19.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (sqrt PI) (* (sqrt PI) t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
1.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series790.0ms

Counts
4 → 8
Calls
4 calls:
195.0ms
(* (* (sqrt PI) (* (sqrt PI) t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
595.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (sqrt PI) (* (sqrt PI) t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify118.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
07491303
143501068
250011054

prune257.0ms

Filtered
96 candidates to 68 candidates (70.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New90696
Fresh516
Picked101
Done112
Total978105

Merged error: 0.2b

Counts
105 → 8

regimes160.0ms

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
02815
12815

end0.0ms

sample1.1s

Algorithm
intervals
Results
409.0ms8001×body80valid
392.0ms8005×body80nan