Details

Time bar (total: 6.5s)

sample29.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
9.0ms257×body80nan

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
19110
227510
367210
4130310
5173710
6180210
7180210

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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
(sqrt (- 2.0 (* 6.0 (* 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))))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
19×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
14×sqrt-div
13×flip3-- flip--
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×pow-prod-down
8×frac-times associate-/r/
7×associate-*r*
6×sqrt-prod
4×cbrt-undiv expm1-log1p-u div-exp associate-*l* associate-*l/ log1p-expm1-u add-log-exp
3×times-frac associate-/l*
2×*-commutative
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/r* div-inv unswap-sqr
Counts
4 → 107
Calls
4 calls:
3.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
11.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series955.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
281.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
25.0ms
(* 6.0 (* v v))
569.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify102.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
09051373
142751219
250011215

prune308.0ms

Filtered
119 candidates to 87 candidates (73.1%)
Pruning

3 alts after pruning (2 fresh and 1 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))))))

rewrite58.0ms

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:
8.0ms
(/ (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)))))
25.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
169.0ms
(/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v))))
24.0ms
(* 6.0 (* v v))
214.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
609.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify55.0ms

Algorithm
egg-herbie
Counts
220 → 220
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
011752867
150022535

prune575.0ms

Filtered
220 candidates to 146 candidates (66.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

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)))) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v))))))))
1.0b
(/ (sqrt 4.0) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
145×sqrt-prod
129×add-sqr-sqrt
102×times-frac
71×*-un-lft-identity
70×add-exp-log add-cbrt-cube
57×add-cube-cbrt
56×difference-of-squares
42×sqr-pow
35×prod-exp cbrt-unprod
19×pow1
18×associate-*l*
16×associate-/r*
14×cbrt-undiv unpow-prod-down cube-prod div-exp
11×associate-*r/
10×sqrt-div
9×frac-times pow-prod-down
7×difference-cubes distribute-lft-out--
6×associate-/l*
4×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
3×associate-*r* associate-*l/ *-commutative
2×flip3-- flip-- div-inv unswap-sqr
1×sqrt-undiv frac-2neg clear-num
Counts
4 → 237
Calls
4 calls:
6.0ms
(* 6.0 (* v v))
6.0ms
(* 6.0 (* v v))
43.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (* (/ (sqrt 4.0) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v))))))))
15.0ms
(/ (sqrt 4.0) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))))

series1.3s

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 6.0 (* v v))
25.0ms
(* 6.0 (* v v))
675.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (* (/ (sqrt 4.0) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v))))))))
545.0ms
(/ (sqrt 4.0) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))))

simplify82.0ms

Algorithm
egg-herbie
Counts
249 → 249
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
013004894
150024343

prune975.0ms

Filtered
249 candidates to 156 candidates (62.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes63.0ms

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

sample751.0ms

Algorithm
intervals
Results
290.0ms8000×body80valid
276.0ms8068×body80nan