Details

Time bar (total: 6.9s)

sample29.0ms

Algorithm
intervals
Results
9.0ms273×body80nan
9.0ms256×body80valid

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 1

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))))))

rewrite43.0ms

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:
10.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
11.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
5.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series803.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
270.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
408.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify111.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
09551468
146961282
250011281

prune305.0ms

Filtered
135 candidates to 89 candidates (65.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1323135
Fresh000
Picked101
Done000
Total1333136

Merged error: 0b

Counts
136 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
97×add-exp-log add-cbrt-cube
40×prod-exp cbrt-unprod
32×associate-*r/
30×cbrt-undiv div-exp
25×associate-*l*
23×times-frac
18×flip3-- sqrt-div flip--
17×add-sqr-sqrt
16×pow1 associate-/r/
14×frac-times add-cube-cbrt *-un-lft-identity
7×pow-prod-down associate-*l/ associate-/l*
5×associate-*r* div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×flip3-+ flip-+ unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r* associate-/l/
Counts
4 → 164
Calls
4 calls:
14.0ms
(/ (/ 4.0 (* 3.0 PI)) (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))))
20.0ms
(* (/ (/ 4.0 (* 3.0 PI)) (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))) (+ 1.0 (* v v)))
13.0ms
(* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))
6.0ms
(* 6.0 (* v v))

series1.1s

Counts
4 → 12
Calls
4 calls:
408.0ms
(/ (/ 4.0 (* 3.0 PI)) (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))))
482.0ms
(* (/ (/ 4.0 (* 3.0 PI)) (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))) (+ 1.0 (* v v)))
203.0ms
(* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))
24.0ms
(* 6.0 (* v v))

simplify53.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013672814
150022402

prune576.0ms

Filtered
176 candidates to 130 candidates (73.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1751176
Fresh112
Picked101
Done000
Total1772179

Merged error: 0b

Counts
179 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ 4.0 (fma v v 1.0)) (/ (/ 1 (* 3.0 PI)) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))))
0.0b
(* (* (/ 4.0 (fma v v 1.0)) (/ (/ 1 (* 3.0 PI)) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))) (+ 1.0 (* v v)))
0.0b
(/ 4.0 (fma v v 1.0))
0.2b
(* 6.0 (* v v))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
317×add-exp-log
157×add-cbrt-cube
146×prod-exp
119×div-exp
66×cbrt-unprod
55×cbrt-undiv
30×add-sqr-sqrt
29×times-frac
24×add-cube-cbrt *-un-lft-identity
23×associate-*r*
17×associate-*l*
16×pow1 rec-exp 1-exp
14×frac-times
9×associate-*l/
8×associate-*r/ associate-/r/
7×pow-prod-down
6×flip3-- sqrt-div flip--
4×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
3×associate-/r* *-commutative associate-/l* unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num
Counts
4 → 217
Calls
4 calls:
25.0ms
(* (/ 4.0 (fma v v 1.0)) (/ (/ 1 (* 3.0 PI)) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))))
22.0ms
(* (* (/ 4.0 (fma v v 1.0)) (/ (/ 1 (* 3.0 PI)) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))) (+ 1.0 (* v v)))
3.0ms
(/ 4.0 (fma v v 1.0))
6.0ms
(* 6.0 (* v v))

series981.0ms

Counts
4 → 12
Calls
4 calls:
410.0ms
(* (/ 4.0 (fma v v 1.0)) (/ (/ 1 (* 3.0 PI)) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))))
490.0ms
(* (* (/ 4.0 (fma v v 1.0)) (/ (/ 1 (* 3.0 PI)) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))) (+ 1.0 (* v v)))
56.0ms
(/ 4.0 (fma v v 1.0))
24.0ms
(* 6.0 (* v v))

simplify74.0ms

Algorithm
egg-herbie
Counts
229 → 229
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
016463763
150013098

prune556.0ms

Filtered
229 candidates to 125 candidates (54.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2290229
Fresh011
Picked011
Done000
Total2292231

Merged error: 0b

Counts
231 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
24×pow1 associate-*l*
20×frac-times associate-*r/
18×sqrt-div
12×add-sqr-sqrt flip3-+ pow-prod-down flip-+
9×add-cube-cbrt *-un-lft-identity
8×cbrt-undiv div-exp associate-/r/
7×associate-*l/
6×flip3-- flip--
4×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
3×times-frac unswap-sqr
1×div-inv
Counts
4 → 128
Calls
4 calls:
6.0ms
(* 6.0 (* v v))
6.0ms
(* 6.0 (* v v))
5.0ms
(* 6.0 (* v v))
43.0ms
(* (/ 4.0 (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v))))))) (* (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))) (sqrt (+ 2.0 (* 6.0 (* v v))))))

series563.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 6.0 (* v v))
24.0ms
(* 6.0 (* v v))
24.0ms
(* 6.0 (* v v))
483.0ms
(* (/ 4.0 (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v))))))) (* (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))) (sqrt (+ 2.0 (* 6.0 (* v v))))))

simplify52.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
010422909
150012306

prune544.0ms

Filtered
140 candidates to 89 candidates (63.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1400140
Fresh000
Picked011
Done011
Total1402142

Merged error: 0b

Counts
142 → 2

regimes35.0ms

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
03016
13016

end0.0ms

sample736.0ms

Algorithm
intervals
Results
286.0ms8000×body80valid
272.0ms7730×body80nan