Details

Time bar (total: 7.1s)

sample43.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
12.0ms250×body80nan

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
284614
3397414
4500114

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))))

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 expm1-log1p-u frac-times div-exp log1p-expm1-u 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 → 102
Calls
4 calls:
5.0ms
(* 3.0 (* v v))
3.0ms
(* PI t)
9.0ms
(* (* PI 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))))

series825.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
20.0ms
(* PI t)
199.0ms
(* (* 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))))

simplify109.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07731205
143311050
250011050

prune531.0ms

Filtered
114 candidates to 80 candidates (70.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1059114
Fresh000
Picked101
Done000
Total1069115

Merged error: 0.5b

Counts
115 → 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))))

rewrite74.0ms

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 expm1-log1p-u frac-times div-exp log1p-expm1-u 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 → 102
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
3.0ms
(* PI t)
15.0ms
(* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))
46.0ms
(/ (- 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))))

series628.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
21.0ms
(* PI t)
225.0ms
(* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))
357.0ms
(/ (- 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))))

simplify117.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07041393
139811199
250021199

prune552.0ms

Filtered
114 candidates to 80 candidates (70.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1140114
Fresh088
Picked011
Done000
Total1149123

Merged error: 0.5b

Counts
123 → 9

localize30.0ms

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))))

rewrite49.0ms

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 expm1-log1p-u frac-times div-exp log1p-expm1-u 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 → 102
Calls
4 calls:
5.0ms
(* 3.0 (* v v))
3.0ms
(* PI t)
11.0ms
(* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))
26.0ms
(/ (- 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))))

series624.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
20.0ms
(* PI t)
188.0ms
(* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))
391.0ms
(/ (- 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))))

simplify115.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07111556
141541338
250011338

prune491.0ms

Filtered
114 candidates to 78 candidates (68.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh347
Picked011
Done011
Total1167123

Merged error: 0.3b

Counts
123 → 7

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.3b
(* PI t)
0.5b
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (* (* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))) (fma (* 1.0 1.0) 1.0 (pow v 6))) (- (pow 1.0 3) (pow (* v v) 3))))
0.5b
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log add-cbrt-cube
17×cbrt-undiv div-exp prod-exp cbrt-unprod
16×add-sqr-sqrt times-frac
13×add-cube-cbrt *-un-lft-identity
11×pow1
10×associate-/l*
8×associate-*r/ associate-*l/ associate-/r/
7×flip3-- flip--
6×sqrt-div associate-*l*
4×expm1-log1p-u frac-times associate-*r* pow-prod-down log1p-expm1-u div-inv add-log-exp
3×div-sub associate-/l/
2×frac-2neg clear-num associate-/r* *-commutative unswap-sqr
Counts
4 → 122
Calls
4 calls:
5.0ms
(* 3.0 (* v v))
4.0ms
(* PI t)
26.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (* (* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))) (fma (* 1.0 1.0) 1.0 (pow v 6))) (- (pow 1.0 3) (pow (* v v) 3))))
7.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))

series574.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
19.0ms
(* PI t)
447.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (* (* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))) (fma (* 1.0 1.0) 1.0 (pow v 6))) (- (pow 1.0 3) (pow (* v v) 3))))
83.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))

simplify133.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
08352268
145121759
250011759

prune671.0ms

Filtered
134 candidates to 87 candidates (64.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1304134
Fresh314
Picked101
Done112
Total1356141

Merged error: 0.0b

Counts
141 → 6

regimes246.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05143
15143

end0.0ms

sample1.1s

Algorithm
intervals
Results
404.0ms8001×body80valid
384.0ms8005×body80nan