Details

Time bar (total: 7.9s)

sample42.0ms

Algorithm
intervals
Results
13.0ms293×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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(* PI t)
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.5b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* 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)
14.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
56.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series845.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
205.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
594.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify114.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07751210
143561050
250011050

prune357.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(* PI t)
0.4b
(* (* PI t) (sqrt 2.0))
0.5b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

rewrite127.0ms

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)
8.0ms
(* (* PI t) (sqrt 2.0))
107.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

series742.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
27.0ms
(* PI t)
75.0ms
(* (* PI t) (sqrt 2.0))
615.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

simplify120.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
08151174
145491002
250011002

prune363.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize45.0ms

Local error

Found 4 expressions with local error:

4.6b
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
4.6b
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
7.3b
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
7.3b
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

rewrite111.0ms

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:
27.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
37.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
27.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
12.0ms
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

series967.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
347.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
224.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
169.0ms
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

simplify125.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
08641719
148651494
250011494

prune817.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.5b
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

rewrite148.0ms

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:
7.0ms
(* 5.0 (* v v))
28.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
11.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
100.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

series1.0s

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
210.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
155.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
625.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

simplify105.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
08001361
142751195
250021195

prune346.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.3b

regimes234.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05148
15148

end0.0ms

sample1.1s

Algorithm
intervals
Results
403.0ms8001×body80valid
379.0ms8077×body80nan