Details

Time bar (total: 9.5s)

sample78.0ms

Algorithm
intervals
Results
32.0ms256×body80valid
29.0ms286×body80nan

simplify73.0ms

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))))))

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:
6.0ms
(* 3.0 (* v v))
3.0ms
(* PI t)
55.0ms
(/ (- 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))))))

series833.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
26.0ms
(* PI t)
590.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
193.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify106.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07731205
143311050
250011050

prune378.0ms

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

rewrite147.0ms

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:
6.0ms
(* 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))))
26.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
15.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
29.0ms
(* 3.0 (* v v))
573.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
321.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
153.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify104.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07981356
142501195
250021195

prune379.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (/ (* PI (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))) (sqrt (+ (* 1.0 1.0) (+ (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
0.3b
(* PI (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))
0.4b
(* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

rewrite567.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log add-cbrt-cube
16×pow1
14×prod-exp cbrt-unprod
13×add-sqr-sqrt
12×associate-*r/
10×add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×cbrt-undiv div-exp
7×pow-prod-down
6×associate-*r*
5×flip3-- associate-/r/ flip--
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×frac-times associate-/l/ unswap-sqr
1×frac-2neg div-sub associate-*l/ clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 103
Calls
4 calls:
8.0ms
(* 3.0 (* v v))
428.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (/ (* PI (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))) (sqrt (+ (* 1.0 1.0) (+ (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
95.0ms
(* PI (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))
33.0ms
(* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 3.0 (* v v))
632.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (/ (* PI (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))) (sqrt (+ (* 1.0 1.0) (+ (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
216.0ms
(* PI (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))
181.0ms
(* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

simplify120.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
08432103
144951770
250011770

prune521.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
61×sqrt-prod
58×add-sqr-sqrt
55×add-cube-cbrt *-un-lft-identity
36×add-exp-log add-cbrt-cube
18×sqrt-div
16×pow1
15×associate-/r/
13×prod-exp cbrt-unprod
12×associate-/r*
9×cbrt-undiv flip3-- div-exp flip--
8×associate-*r* div-inv
7×associate-*l* pow-prod-down
6×associate-/l*
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×*-commutative
2×associate-/l/ unswap-sqr
1×frac-2neg clear-num
Counts
4 → 179
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
3.0ms
(* PI t)
54.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (sqrt (- 1.0 (* 5.0 (* v v))))))
14.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series822.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 3.0 (* v v))
19.0ms
(* PI t)
592.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (sqrt (- 1.0 (* 5.0 (* v v))))))
188.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify63.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09923991
150013745

prune651.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

regimes327.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03829
13829

end0.0ms

sample2.0s

Algorithm
intervals
Results
877.0ms8000×body80valid
796.0ms7778×body80nan