Details

Time bar (total: 7.5s)

sample79.0ms

Algorithm
intervals
Results
32.0ms256×body80valid
31.0ms230×body80nan

simplify73.0ms

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: 0.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(* PI t)
0.5b
(/ (- 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))))))

rewrite80.0ms

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:
6.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
54.0ms
(/ (- 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))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
216.0ms
(* PI t)
583.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
189.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify110.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07551158
142811002
250011002

prune308.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.4b
(* 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))))

rewrite144.0ms

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:
6.0ms
(* 5.0 (* v v))
28.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
10.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
96.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

series914.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 5.0 (* v v))
181.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
146.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
563.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

simplify102.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07791300
141951138
250031138

prune313.0ms

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))
0.4b
(* 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 (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
25×add-cbrt-cube
22×pow1
16×associate-*r/ prod-exp
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity pow-prod-down cbrt-unprod
9×associate-*l*
6×sqrt-div div-exp associate-*r*
4×add-log-exp
3×cbrt-undiv rec-exp flip3-- pow-flip times-frac 1-exp *-commutative flip-- associate-/l*
2×associate-/r/ unswap-sqr
1×frac-2neg clear-num associate-/r* sqrt-prod div-inv inv-pow
Counts
4 → 95
Calls
4 calls:
8.0ms
(* 5.0 (* v v))
26.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
10.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
52.0ms
(/ 1 (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))

series645.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
211.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
146.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
264.0ms
(/ 1 (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0490862
12271768
25001762

prune278.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.2b
(* 5.0 (* v v))
0.4b
(/ (/ 1 PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
31×times-frac
28×add-cbrt-cube
26×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
16×pow1
13×associate-/l*
12×div-exp
11×prod-exp
9×associate-*l* cbrt-unprod
8×associate-*r/
7×pow-prod-down
6×cbrt-undiv associate-*r*
4×sqrt-div add-log-exp
3×*-commutative div-inv unswap-sqr
2×rec-exp flip3-- 1-exp associate-/r/ flip--
1×frac-2neg clear-num associate-/r* sqrt-prod associate-/l/
Counts
4 → 111
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
6.0ms
(* 5.0 (* v v))
13.0ms
(/ (/ 1 PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
11.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series452.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 3.0 (* v v))
26.0ms
(* 5.0 (* v v))
258.0ms
(/ (/ 1 PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
144.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify62.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0600948
12601844
25002826

prune264.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04130
14130

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.0s8000×body80valid
969.0ms8091×body80nan