Details

Time bar (total: 7.4s)

sample43.0ms

Algorithm
intervals
Results
15.0ms270×body80nan
12.0ms256×body80valid

simplify74.0ms

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: 0.4b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.2b
(/ (- 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)
0.5b
(* (* 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 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))
16.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
4.0ms
(* PI t)
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series797.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
565.0ms
(/ (- 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)
188.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify115.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07731205
143311050
250011050

prune328.0ms

Filtered
114 candidates to 80 candidates (70.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1086114
Fresh000
Picked101
Done000
Total1096115

Merged error: 0.1b

Counts
115 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
6.9b
(/ (* 5.0 (* v v)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
70×add-exp-log add-cbrt-cube
37×prod-exp cbrt-unprod
22×associate-*r/
16×pow1
12×cbrt-undiv div-exp
11×associate-*r*
10×add-sqr-sqrt sqrt-div
8×add-cube-cbrt flip3-- *-un-lft-identity associate-/r/ flip--
7×pow-prod-down
5×associate-*l*
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×*-commutative
2×associate-*l/ sqrt-prod
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l* unswap-sqr
Counts
4 → 113
Calls
4 calls:
4.0ms
(* PI t)
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
18.0ms
(/ (* 5.0 (* v v)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series972.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* PI t)
188.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
191.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
572.0ms
(/ (* 5.0 (* v v)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify41.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
08161565
150011266

prune378.0ms

Filtered
125 candidates to 79 candidates (63.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1250125
Fresh055
Picked011
Done000
Total1256131

Merged error: 0.1b

Counts
131 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.2b
(/ (- 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)))))))
0.5b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite46.0ms

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 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 → 104
Calls
4 calls:
8.0ms
(* 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))))
9.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
8.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series948.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
578.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
193.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
151.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify109.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07981356
142501195
250021195

prune349.0ms

Filtered
116 candidates to 84 candidates (72.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1133116
Fresh224
Picked011
Done011
Total1157122

Merged error: 0.1b

Counts
122 → 7

localize42.0ms

Local error

Found 4 expressions with local error:

4.2b
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
4.2b
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
6.9b
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
6.9b
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
185×add-exp-log
93×prod-exp
67×add-cbrt-cube
54×div-exp
27×cbrt-unprod
23×times-frac associate-/l*
20×pow-to-exp pow-exp
18×cbrt-undiv unpow-prod-down
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqr-pow
4×pow1 expm1-log1p-u frac-2neg clear-num associate-/r* log1p-expm1-u div-inv add-log-exp
2×unpow2
Counts
4 → 170
Calls
4 calls:
12.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
13.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
12.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
11.0ms
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

series919.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
322.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
215.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
161.0ms
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

simplify42.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
08641731
150011492

prune770.0ms

Filtered
182 candidates to 88 candidates (48.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1820182
Fresh044
Picked011
Done022
Total1827189

Merged error: 0.1b

Counts
189 → 7

regimes192.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02625
12625

end0.0ms

sample1.0s

Algorithm
intervals
Results
391.0ms8000×body80valid
383.0ms8218×body80nan