Details

Time bar (total: 13.5s)

sample74.0ms

Algorithm
intervals
Results
30.0ms304×body80nan
24.0ms256×body80valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04414
116514
284614
3397414
4500114

prune9.0ms

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

rewrite82.0ms

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:
7.0ms
(* 5.0 (* v v))
55.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
3.0ms
(* PI t)
14.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series72.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* 5.0 (* v v))
46.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
2.0ms
(* PI t)
22.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify107.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07751210
143561050
250011050

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1
15×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
10×prod-exp cbrt-unprod
8×associate-*r/ associate-*r*
7×associate-*l* pow-prod-down sqrt-prod
6×times-frac sqrt-div associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- div-exp *-commutative flip--
2×associate-/r/ associate-/l/ unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 99
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
19.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
3.0ms
(* PI t)
14.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series56.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* 5.0 (* v v))
31.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
2.0ms
(* PI t)
22.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify69.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0554984
12702878
25001877

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
175×add-sqr-sqrt
129×add-cube-cbrt *-un-lft-identity
79×sqrt-prod
46×associate-*l*
43×associate-*r*
37×add-exp-log add-cbrt-cube
30×cbrt-prod
22×associate-/l*
13×cbrt-undiv div-exp unswap-sqr
11×pow1 div-inv
9×prod-exp cbrt-unprod
7×associate-/r*
6×sqrt-div
5×associate-*r/
4×expm1-log1p-u pow-prod-down associate-/r/ log1p-expm1-u add-log-exp
3×flip3-- flip-- associate-/l/
2×cbrt-div frac-2neg clear-num *-commutative
1×frac-times sqrt-undiv associate-*l/
Counts
4 → 284
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
6.0ms
(/ (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) t)
62.0ms
(* (/ (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) t) (/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
10.0ms
(/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series191.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* 5.0 (* v v))
16.0ms
(/ (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) t)
129.0ms
(* (/ (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) t) (/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
44.0ms
(/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify84.0ms

Algorithm
egg-herbie
Counts
296 → 296
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
018235856
150015516

prune4.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* 5.0 (* v v))
1.0b
(/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
1.0b
(* (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) (/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
91×times-frac
88×add-sqr-sqrt
77×sqrt-prod
60×add-cube-cbrt *-un-lft-identity
44×associate-*r*
29×cbrt-prod
28×add-exp-log add-cbrt-cube
19×associate-*l*
16×pow1
10×prod-exp cbrt-unprod unswap-sqr
9×associate-/l*
7×pow-prod-down
6×sqrt-div
5×cbrt-undiv associate-*r/ div-exp
4×expm1-log1p-u associate-/r* associate-/r/ log1p-expm1-u add-log-exp
3×flip3-- *-commutative flip-- div-inv
2×cbrt-div associate-/l/
1×frac-times sqrt-undiv frac-2neg associate-*l/ clear-num
Counts
4 → 195
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
6.0ms
(* 5.0 (* v v))
10.0ms
(/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
38.0ms
(* (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) (/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

series109.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* 5.0 (* v v))
2.0ms
(* 5.0 (* v v))
42.0ms
(/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
62.0ms
(* (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) (/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

simplify63.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014814043
150013822

prune3.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes341.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03027
13027

end0.0ms

sample1.8s

Algorithm
intervals
Results
771.0ms8365×body80nan
770.0ms8000×body80valid