Details

Time bar (total: 6.7s)

sample41.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
10.0ms232×body80nan

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
284614
3397414
4500114

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:

0.1b
(* 5.0 (* v v))
0.2b
(* PI t)
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite83.0ms

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
(* 5.0 (* v v))
3.0ms
(* PI t)
56.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
14.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series859.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
609.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
198.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify112.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07751210
143561050
250011050

prune343.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(* PI t)
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
0.5b
(* (* PI t) (sqrt 2.0))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×pow1
14×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
8×associate-*r/ associate-/r/
7×flip3-- associate-*l* pow-prod-down flip--
6×sqrt-div
5×cbrt-undiv div-exp
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 104
Calls
4 calls:
7.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
107.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
8.0ms
(* (* PI t) (sqrt 2.0))

series714.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
19.0ms
(* PI t)
598.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
72.0ms
(* (* PI t) (sqrt 2.0))

simplify113.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08151174
145491002
250011002

prune532.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI (* t (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
0.4b
(* PI (* t (sqrt 2.0)))
0.5b
(* t (sqrt 2.0))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×pow1 add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×associate-*r/ associate-*r* associate-/r/
7×flip3-- pow-prod-down flip--
6×sqrt-div
5×cbrt-undiv div-exp
4×expm1-log1p-u frac-times sqrt-prod log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l* unswap-sqr
2×associate-*l/ associate-/l/
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 105
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
113.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI (* t (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
8.0ms
(* PI (* t (sqrt 2.0)))
5.0ms
(* t (sqrt 2.0))

series709.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
574.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI (* t (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
69.0ms
(* PI (* t (sqrt 2.0)))
43.0ms
(* t (sqrt 2.0))

simplify115.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08061199
145811029
250011029

prune328.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(* PI t)
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
0.5b
(* (* PI t) (sqrt 2.0))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×pow1
14×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
8×associate-*r/ associate-/r/
7×flip3-- associate-*l* pow-prod-down flip--
6×sqrt-div
5×cbrt-undiv div-exp
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 104
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
104.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
8.0ms
(* (* PI t) (sqrt 2.0))

series689.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 5.0 (* v v))
19.0ms
(* PI t)
572.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
70.0ms
(* (* PI t) (sqrt 2.0))

simplify111.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08151174
145491002
250011002

prune286.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes183.0ms

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
02615
12615

end0.0ms

sample991.0ms

Algorithm
intervals
Results
366.0ms8000×body80valid
360.0ms8117×body80nan