Details

Time bar (total: 7.6s)

sample38.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms248×body80nan

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune7.0ms

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
(* PI t)
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))))
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* 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 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:
3.0ms
(* PI t)
5.0ms
(* 5.0 (* 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))))
8.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series840.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI t)
25.0ms
(* 5.0 (* v v))
605.0ms
(/ (- 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))))))

simplify106.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07551158
142811002
250011002

prune327.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
61×sqrt-prod
56×add-sqr-sqrt
54×add-cube-cbrt *-un-lft-identity
39×add-exp-log add-cbrt-cube
19×pow1
18×sqrt-div
15×prod-exp associate-/r/ cbrt-unprod
12×associate-/r*
9×cbrt-undiv flip3-- div-exp pow-prod-down flip--
8×div-inv
7×associate-*l*
6×associate-*r* associate-/l*
4×associate-*r/ add-log-exp
3×*-commutative
2×associate-/l/ unswap-sqr
1×frac-2neg clear-num
Counts
4 → 172
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
5.0ms
(* 5.0 (* v v))
23.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (sqrt (- 1.0 (* 5.0 (* v v))))))
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series850.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
31.0ms
(* 5.0 (* v v))
599.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (sqrt (- 1.0 (* 5.0 (* v v))))))
195.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify136.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09483947
149193701
250023701

prune647.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(/ (sqrt (- 1.0 (log (exp (* 5.0 (* v v)))))) (/ (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (sqrt (- 1.0 (* 5.0 (* v v))))))
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
2.5b
(log (exp (* 5.0 (* v v))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
168×times-frac
109×sqrt-prod
102×*-un-lft-identity
90×add-sqr-sqrt
63×add-cube-cbrt
34×add-exp-log add-cbrt-cube
28×pow1
26×distribute-lft-out--
24×sqrt-div
21×associate-/r/
16×log-pow
13×difference-of-squares
12×flip3-- prod-exp associate-/r* flip-- cbrt-unprod
11×div-inv
9×cbrt-undiv div-exp associate-/l*
6×pow-prod-down
5×associate-*r* add-log-exp
4×associate-*r/ associate-*l*
3×log-prod
2×*-commutative associate-/l/
1×exp-prod exp-to-pow frac-2neg rem-log-exp clear-num unswap-sqr
Counts
4 → 206
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
21.0ms
(/ (sqrt (- 1.0 (log (exp (* 5.0 (* v v)))))) (/ (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (sqrt (- 1.0 (* 5.0 (* v v))))))
8.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
2.0ms
(log (exp (* 5.0 (* v v))))

series847.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
599.0ms
(/ (sqrt (- 1.0 (log (exp (* 5.0 (* v v)))))) (/ (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (sqrt (- 1.0 (* 5.0 (* v v))))))
191.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
31.0ms
(log (exp (* 5.0 (* v v))))

simplify75.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010485636
150024978

prune948.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* 5.0 (* v v))
0.3b
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* PI t))
0.5b
(/ (/ (sqrt (- 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
40×add-exp-log add-cbrt-cube
28×times-frac
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity associate-/l*
14×pow1
12×cbrt-undiv div-exp prod-exp sqrt-prod cbrt-unprod
8×sqrt-div associate-*r/ associate-/r/
7×flip3-- flip--
6×associate-*l* pow-prod-down
4×frac-times div-inv add-log-exp
3×associate-/l/
2×frac-2neg associate-*r* associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
4 → 119
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
5.0ms
(* 5.0 (* v v))
6.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* PI t))
15.0ms
(/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

series806.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 5.0 (* v v))
24.0ms
(* 5.0 (* v v))
190.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* PI t))
564.0ms
(/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

simplify82.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07691590
134101391
250021391

prune412.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes170.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02921
12921

end0.0ms

sample1.0s

Algorithm
intervals
Results
389.0ms8000×body80valid
371.0ms7869×body80nan