Details

Time bar (total: 6.3s)

sample29.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
8.0ms250×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

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

rewrite174.0ms

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:
7.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
78.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
17.0ms
(* 6.0 (* v v))
68.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series771.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
266.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
25.0ms
(* 6.0 (* v v))
402.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify104.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
09051374
142751219
250011215

prune307.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.1b
(* 6.0 (* v v))
1.0b
(/ 4.0 (exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
1.0b
(exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))

rewrite601.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1
24×associate-*r/
20×add-cbrt-cube
19×add-exp-log
18×add-sqr-sqrt flip3-- sqrt-div flip--
17×add-cube-cbrt *-un-lft-identity
16×log-div exp-diff
15×pow-prod-down
12×frac-times times-frac
9×prod-exp cbrt-unprod
8×associate-/r/
7×exp-prod associate-*r*
6×associate-*l/
5×log-prod exp-sum
4×expm1-log1p-u associate-*l* associate-/r* log-pow log1p-expm1-u add-log-exp
3×sqrt-prod associate-/l*
2×*-commutative
1×cbrt-undiv frac-2neg div-exp clear-num div-inv rem-exp-log unswap-sqr
Counts
4 → 122
Calls
4 calls:
74.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
17.0ms
(* 6.0 (* v v))
277.0ms
(/ 4.0 (exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
227.0ms
(exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))

series985.0ms

Counts
4 → 12
Calls
4 calls:
261.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
31.0ms
(* 6.0 (* v v))
415.0ms
(/ 4.0 (exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
278.0ms
(exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))

simplify104.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
08911888
141071670
250021664

prune431.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 6.0 (* v v))
0.1b
(* 6.0 (* v v))
0.1b
(* (* v v) (* 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)))))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
125×pow1
40×add-exp-log add-cbrt-cube
36×pow-prod-up
29×pow-prod-down
22×pow-sqr
20×prod-exp cbrt-unprod
18×pow-plus
13×pow2
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity associate-*r/ associate-/r/
7×associate-*l*
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 swap-sqr clear-num associate-/r* div-inv
Counts
4 → 142
Calls
4 calls:
17.0ms
(* 6.0 (* v v))
17.0ms
(* 6.0 (* v v))
30.0ms
(* (* v v) (* v v))
124.0ms
(/ 4.0 (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 6.0 (* v v))
31.0ms
(* 6.0 (* v v))
31.0ms
(* (* v v) (* v v))
957.0ms
(/ 4.0 (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))))

simplify98.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
0770994
13655852
25002852

prune522.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes50.0ms

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
02212
12212

end0.0ms

sample782.0ms

Algorithm
intervals
Results
286.0ms8000×body80valid
259.0ms8063×body80nan