Details

Time bar (total: 7.9s)

sample29.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
9.0ms270×body80nan

simplify63.0ms

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

localize16.0ms

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))))))

rewrite70.0ms

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))))
30.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
27.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series865.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
281.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
477.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify274.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
09051374
142751219
250011215

prune306.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
46×add-sqr-sqrt
43×add-cbrt-cube
41×times-frac prod-exp
36×add-cube-cbrt *-un-lft-identity
25×associate-*r* sqrt-prod
23×div-exp
17×cbrt-unprod
12×pow1 associate-*l*
11×cbrt-undiv
6×rec-exp sqrt-div 1-exp associate-/r* associate-/r/
4×expm1-log1p-u flip3-- pow-prod-down flip-- log1p-expm1-u add-log-exp unswap-sqr
3×associate-*r/ div-inv associate-/l*
2×*-commutative
1×frac-times rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*l/ clear-num
Counts
4 → 159
Calls
4 calls:
3.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
6.0ms
(* 6.0 (* v v))
63.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
5.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

series695.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
31.0ms
(* 6.0 (* v v))
422.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
162.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010501933
150021673

prune389.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
1.0b
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (expm1 (log1p (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))))
1.0b
(expm1 (log1p (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
43×add-exp-log
26×add-sqr-sqrt
25×add-cbrt-cube
23×add-cube-cbrt *-un-lft-identity
22×prod-exp
21×times-frac
12×associate-*l* sqrt-prod
11×pow1
10×cbrt-unprod
7×div-exp
6×associate-/r*
4×cbrt-undiv expm1-log1p-u associate-*r* pow-prod-down associate-/r/ log1p-expm1-u add-log-exp
3×rec-exp 1-exp associate-/l*
2×flip3-- sqrt-div associate-*r/ *-commutative flip-- div-inv unswap-sqr
1×expm1-log1p frac-2neg associate-*l/ clear-num expm1-udef
Counts
4 → 114
Calls
4 calls:
6.0ms
(* 6.0 (* v v))
5.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
52.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (expm1 (log1p (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))))
0.0ms
(expm1 (log1p (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))))

series1.9s

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 6.0 (* v v))
170.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
1.0s
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (expm1 (log1p (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))))
721.0ms
(expm1 (log1p (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))))

simplify103.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
09621498
145971260
250011255

prune377.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

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 (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log add-cbrt-cube
19×pow1
15×prod-exp cbrt-unprod
12×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down
8×associate-*r/ associate-/r/
6×flip3-- sqrt-div flip--
4×cbrt-undiv expm1-log1p-u frac-times div-exp log1p-expm1-u add-log-exp
3×times-frac associate-*r* *-commutative associate-/l* unswap-sqr
2×associate-*l/
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 98
Calls
4 calls:
8.0ms
(* 6.0 (* v v))
6.0ms
(* 6.0 (* v v))
6.0ms
(* 6.0 (* v v))
67.0ms
(/ 4.0 (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))))

series1.1s

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

simplify83.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0675996
13180856
25002856

prune513.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

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
02613
12613

end0.0ms

sample735.0ms

Algorithm
intervals
Results
286.0ms8000×body80valid
268.0ms8063×body80nan