Details

Time bar (total: 9.0s)

sample54.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
21.0ms282×body80nan

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
227510
367210
4130310
5173710
6180210
7180210

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 3.0 PI) (- 1.0 (* v v)))
0.0b
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
14×add-sqr-sqrt
13×flip3-- flip--
12×add-cube-cbrt *-un-lft-identity sqrt-div pow-prod-down
11×associate-*r*
8×frac-times associate-/r/
6×prod-diff
5×distribute-rgt-in distribute-lft-in associate-*l*
4×cbrt-undiv expm1-log1p-u div-exp associate-*l/ log1p-expm1-u add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×sub-neg
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 123
Calls
4 calls:
11.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
30.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
31.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
294.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
274.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
429.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify112.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
09551468
146961282
250011281

prune295.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v))))
0.2b
(* 6.0 (* v v))
1.0b
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
1.0b
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
91×sqrt-prod
88×times-frac
80×add-sqr-sqrt
65×add-cube-cbrt *-un-lft-identity
52×add-exp-log add-cbrt-cube
43×associate-*r*
20×prod-exp cbrt-unprod
15×associate-*l*
14×cbrt-undiv div-exp
12×associate-/l*
11×pow1
8×associate-/r/
7×associate-/r*
6×unswap-sqr
5×associate-*r/
4×expm1-log1p-u flip3-- sqrt-div pow-prod-down flip-- log1p-expm1-u div-inv add-log-exp
2×frac-2neg clear-num *-commutative
1×frac-times sqrt-undiv associate-*l/
Counts
4 → 208
Calls
4 calls:
9.0ms
(/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v))))
6.0ms
(* 6.0 (* v v))
6.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
56.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

series991.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v))))
24.0ms
(* 6.0 (* v v))
216.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
587.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify51.0ms

Algorithm
egg-herbie
Counts
220 → 220
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011752867
150022535

prune547.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 6.0 (* v v))
0.2b
(* 6.0 (* v v))
1.0b
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))))
1.0b
(/ (sqrt 4.0) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))))

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
275×sqrt-prod
248×add-sqr-sqrt
202×times-frac
128×*-un-lft-identity
104×associate-*r* difference-of-squares
102×add-cube-cbrt
78×sqr-pow
48×add-exp-log add-cbrt-cube
26×unpow-prod-down cube-prod
20×prod-exp cbrt-unprod
18×associate-*l*
16×pow1 associate-/r*
13×difference-cubes distribute-lft-out--
11×cbrt-undiv div-exp
7×pow-prod-down unswap-sqr
6×associate-/r/ associate-/l*
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
3×flip3-- associate-*r/ *-commutative flip-- div-inv
1×frac-times sqrt-undiv frac-2neg associate-*l/ clear-num
Counts
4 → 326
Calls
4 calls:
6.0ms
(* 6.0 (* v v))
6.0ms
(* 6.0 (* v v))
110.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))))
23.0ms
(/ (sqrt 4.0) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))))

series980.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 6.0 (* v v))
25.0ms
(* 6.0 (* v v))
396.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))))
534.0ms
(/ (sqrt 4.0) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))))

simplify84.0ms

Algorithm
egg-herbie
Counts
338 → 338
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
013055243
150014910

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* v v) (* v v))
0.2b
(* 6.0 (* v v))
1.0b
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v))))) (/ (* (fma v v 1.0) (sqrt 4.0)) (sqrt (- 2.0 (* 6.0 (* v v))))))
1.0b
(/ (* (fma v v 1.0) (sqrt 4.0)) (sqrt (- 2.0 (* 6.0 (* v v)))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
122×pow1
80×add-exp-log add-cbrt-cube
37×prod-exp cbrt-unprod
36×pow-prod-up
27×pow-prod-down
22×pow-sqr
19×cbrt-undiv div-exp
18×add-sqr-sqrt times-frac pow-plus
16×associate-*l*
15×add-cube-cbrt *-un-lft-identity
14×associate-*r*
13×pow2
12×sqrt-prod
6×associate-/r* associate-/r/
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
3×flip3-- associate-*r/ *-commutative flip-- div-inv unswap-sqr
1×frac-times frac-2neg swap-sqr associate-*l/ clear-num associate-/l*
Counts
4 → 180
Calls
4 calls:
12.0ms
(* (* v v) (* v v))
7.0ms
(* 6.0 (* v v))
57.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v))))) (/ (* (fma v v 1.0) (sqrt 4.0)) (sqrt (- 2.0 (* 6.0 (* v v))))))
7.0ms
(/ (* (fma v v 1.0) (sqrt 4.0)) (sqrt (- 2.0 (* 6.0 (* v v)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* v v) (* v v))
25.0ms
(* 6.0 (* v v))
665.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v))))) (/ (* (fma v v 1.0) (sqrt 4.0)) (sqrt (- 2.0 (* 6.0 (* v v))))))
279.0ms
(/ (* (fma v v 1.0) (sqrt 4.0)) (sqrt (- 2.0 (* 6.0 (* v v)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011302296
150021799

prune437.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03628
13628

end0.0ms

sample1.5s

Algorithm
intervals
Results
678.0ms8000×body80valid
599.0ms8025×body80nan