Details

Time bar (total: 6.8s)

sample45.0ms

Algorithm
intervals
Results
17.0ms287×body80nan
12.0ms256×body80valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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
(* 3.0 (* 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))))
0.4b
(* (* 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
(* 3.0 (* 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))))))

series849.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
27.0ms
(* PI t)
603.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
195.0ms
(* (* 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
07531153
142561002
250011002

prune320.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.3b
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* 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
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* 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:
8.0ms
(* 3.0 (* v v))
26.0ms
(* PI (* 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))))
10.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series984.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
202.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* 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))))
152.0ms
(* 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
07771295
141701138
250031138

prune347.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1 associate-*r/
15×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
10×prod-exp cbrt-unprod
9×associate-*l*
8×sqrt-div
7×pow-prod-down sqrt-prod
6×times-frac associate-*r* associate-/l*
4×flip3-- flip-- add-log-exp
3×cbrt-undiv div-exp *-commutative
2×associate-/r/ associate-/l/ unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 93
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
26.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
33.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
11.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series804.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
199.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
421.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
159.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify75.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05501077
12455970
25002969

prune345.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(* 3.0 (* v v))
0.3b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.4b
(/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
38×add-sqr-sqrt
34×add-cube-cbrt *-un-lft-identity
28×add-exp-log add-cbrt-cube
22×associate-/l*
19×sqrt-prod
16×pow1
9×associate-*l* prod-exp cbrt-unprod
8×associate-*r/
7×pow-prod-down
6×cbrt-undiv div-exp associate-*r*
4×sqrt-div add-log-exp
3×*-commutative div-inv unswap-sqr
2×flip3-- associate-/r/ flip--
1×frac-2neg clear-num associate-/r* associate-/l/
Counts
4 → 125
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
7.0ms
(* 3.0 (* v v))
10.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
18.0ms
(/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

series647.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
26.0ms
(* 3.0 (* v v))
165.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
431.0ms
(/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

simplify84.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06701488
128541365
250011362

prune401.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes131.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02620
12620

end0.0ms

sample1.0s

Algorithm
intervals
Results
388.0ms8000×body80valid
351.0ms7924×body80nan