Details

Time bar (total: 7.0s)

sample41.0ms

Algorithm
intervals
Results
13.0ms287×body80nan
12.0ms256×body80valid

simplify75.0ms

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:

0.2b
(* 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))))))

rewrite87.0ms

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
(* 3.0 (* v v))
3.0ms
(* PI t)
59.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
15.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series837.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
22.0ms
(* PI t)
598.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
192.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify111.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07731205
143311050
250011050

prune358.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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))))))

rewrite154.0ms

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
(* 3.0 (* v v))
30.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
102.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
11.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
33.0ms
(* 3.0 (* v v))
203.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
627.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
162.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify108.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07981356
142501195
250021195

prune377.0ms

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))))))

rewrite85.0ms

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×expm1-log1p-u flip3-- flip-- log1p-expm1-u 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 → 101
Calls
4 calls:
7.0ms
(* 3.0 (* v v))
28.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
32.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
15.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series821.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 3.0 (* v v))
204.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
429.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
162.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify77.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05661134
125011027
250021026

prune391.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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)))))))

rewrite53.0ms

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×expm1-log1p-u sqrt-div log1p-expm1-u 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 → 133
Calls
4 calls:
7.0ms
(* 5.0 (* v v))
7.0ms
(* 3.0 (* v v))
11.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
24.0ms
(/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

series651.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
34.0ms
(* 3.0 (* v v))
157.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
434.0ms
(/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

simplify75.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06831536
128831413
250011410

prune439.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02620
12620

end0.0ms

sample993.0ms

Algorithm
intervals
Results
387.0ms8000×body80valid
349.0ms7924×body80nan