Details

Time bar (total: 6.1s)

sample44.0ms

Algorithm
intervals
Results
16.0ms293×body80nan
13.0ms256×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

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)
0.5b
(* (* 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))
15.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
3.0ms
(* PI t)
8.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series832.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
591.0ms
(/ (- 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)
197.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify107.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07551158
142811002
250011002

prune318.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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

rewrite43.0ms

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:
9.0ms
(* 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))))
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))))))

series981.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
603.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
200.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
153.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify104.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07791300
141951138
250011138

prune319.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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))
14.0ms
(/ 1 (/ (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
3.0ms
(* PI t)
8.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series771.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
524.0ms
(/ 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)
201.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify113.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
07981978
144251757
250011708

prune314.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1
15×add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×associate-*r/
10×add-cube-cbrt *-un-lft-identity sqrt-prod
9×associate-*l*
7×pow-prod-down prod-exp cbrt-unprod
5×associate-*r*
4×sqrt-div add-log-exp
2×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 *-commutative flip--
1×unswap-sqr
Counts
4 → 73
Calls
4 calls:
12.0ms
(* (sqrt PI) (* (sqrt PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
7.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series363.0ms

Counts
4 → 8
Calls
4 calls:
204.0ms
(* (sqrt PI) (* (sqrt PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
159.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify44.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0316590
11380526
25002524

prune240.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.1b

regimes241.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02514
12514

end0.0ms

sample1.0s

Algorithm
intervals
Results
385.0ms8000×body80valid
375.0ms8115×body80nan