Details

Time bar (total: 8.4s)

sample38.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
10.0ms222×body80nan

simplify71.0ms

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: 0.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* PI t)
0.2b
(/ (- 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))))))

rewrite86.0ms

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)
58.0ms
(/ (- 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))))))

series858.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 3.0 (* v v))
20.0ms
(* PI t)
607.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
198.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify104.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07531153
142561002
250011002

prune331.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* v v) (* v v))
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- (pow 1.0 3) (pow (* v v) 3))))
0.2b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
122×pow1
37×add-exp-log add-cbrt-cube
36×pow-prod-up
27×pow-prod-down
22×pow-sqr
18×pow-plus associate-*r/ prod-exp cbrt-unprod
13×pow2
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
5×associate-*l*
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 swap-sqr clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 138
Calls
4 calls:
13.0ms
(* (* v v) (* v v))
65.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- (pow 1.0 3) (pow (* v v) 3))))
3.0ms
(* PI t)
15.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series843.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* v v) (* v v))
585.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- (pow 1.0 3) (pow (* v v) 3))))
21.0ms
(* PI t)
204.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify120.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
08071248
144801062
250021062

prune485.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* v v) (* v v))
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- (pow 1.0 3) (pow (* v v) 3))))
0.3b
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.5b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
122×pow1
37×add-exp-log add-cbrt-cube
36×pow-prod-up
30×associate-*r/
27×pow-prod-down
22×pow-sqr
18×pow-plus prod-exp cbrt-unprod
13×pow2
11×add-sqr-sqrt
10×sqrt-div
9×add-cube-cbrt flip3-- *-un-lft-identity flip--
8×associate-/r/
7×associate-*l*
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 swap-sqr clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 140
Calls
4 calls:
13.0ms
(* (* v v) (* v v))
109.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- (pow 1.0 3) (pow (* v v) 3))))
28.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
11.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series951.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* v v) (* v v))
563.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- (pow 1.0 3) (pow (* v v) 3))))
203.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
153.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify118.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08311390
143821198
250021198

prune492.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (* v v) 3)
0.2b
(* (* v v) (* v v))
0.4b
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* t (+ (pow 1.0 6) (- (pow (pow v 2) 6))))))
0.5b
(* (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* t (+ (pow 1.0 6) (- (pow (pow v 2) 6)))))

rewrite292.0ms

Algorithm
rewrite-expression-head
Rules
128×pow1
45×add-exp-log add-cbrt-cube
37×pow-prod-up
31×times-frac
28×associate-*r/
27×pow-prod-down
23×pow-sqr
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×pow-plus
18×prod-exp cbrt-unprod
14×pow2
13×associate-/l*
12×sqrt-div
9×cbrt-undiv div-exp
8×frac-times associate-/r/
6×flip3-- pow-pow flip3-+ flip-- flip-+
5×associate-*l*
4×distribute-rgt-in distribute-lft-in associate-*l/ add-log-exp
3×pow-unpow div-inv
2×div-sub associate-*r* pow-exp *-commutative rem-cube-cbrt
1×cube-mult pow-to-exp unpow-prod-down frac-2neg unpow3 cube-prod swap-sqr clear-num associate-/r* sqrt-prod associate-/l/ unswap-sqr sqr-pow
Counts
4 → 179
Calls
4 calls:
3.0ms
(pow (* v v) 3)
13.0ms
(* (* v v) (* v v))
136.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* t (+ (pow 1.0 6) (- (pow (pow v 2) 6))))))
132.0ms
(* (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* t (+ (pow 1.0 6) (- (pow (pow v 2) 6)))))

series660.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(pow (* v v) 3)
32.0ms
(* (* v v) (* v v))
388.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* t (+ (pow 1.0 6) (- (pow (pow v 2) 6))))))
190.0ms
(* (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* t (+ (pow 1.0 6) (- (pow (pow v 2) 6)))))

simplify127.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09322361
144212001
250022001

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

regimes129.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06360
16360

end0.0ms

sample1.1s

Algorithm
intervals
Results
405.0ms8000×body80valid
384.0ms8192×body80nan