Details

Time bar (total: 6.2s)

sample36.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
10.0ms283×body80nan

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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))))))

rewrite186.0ms

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:
28.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
73.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
16.0ms
(* 6.0 (* v v))
64.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series823.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
271.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
26.0ms
(* 6.0 (* v v))
414.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify118.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
09551468
146961282
250011281

prune314.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite776.0ms

Algorithm
rewrite-expression-head
Rules
324×cbrt-div sqrt-div
272×frac-times
216×flip3-- flip--
196×associate-*r/
100×associate-*l/
81×add-exp-log
80×associate-/r/
55×add-cbrt-cube
50×prod-exp cbrt-unprod
43×pow1
28×pow-prod-down
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity associate-*r*
8×cbrt-undiv div-exp
7×associate-*l*
6×cbrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 278
Calls
4 calls:
16.0ms
(* 6.0 (* v v))
17.0ms
(* 6.0 (* v v))
366.0ms
(* (* (* (* 3.0 PI) (- 1.0 (* v v))) (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))
345.0ms
(/ 4.0 (* (* (* (* 3.0 PI) (- 1.0 (* v v))) (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v)))))))

series740.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 6.0 (* v v))
31.0ms
(* 6.0 (* v v))
264.0ms
(* (* (* (* 3.0 PI) (- 1.0 (* v v))) (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))
420.0ms
(/ 4.0 (* (* (* (* 3.0 PI) (- 1.0 (* v v))) (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v)))))))

simplify100.0ms

Algorithm
egg-herbie
Counts
290 → 290
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
016758709
150017934

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

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

rewrite128.0ms

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:
16.0ms
(* 6.0 (* v v))
17.0ms
(* 6.0 (* v v))
16.0ms
(* 6.0 (* v v))
75.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))))

series312.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 6.0 (* v v))
25.0ms
(* 6.0 (* v v))
25.0ms
(* 6.0 (* v v))
237.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0534841
12395735
25001735

prune350.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

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
02423
12423

end0.0ms

sample808.0ms

Algorithm
intervals
Results
296.0ms8000×body80valid
275.0ms8117×body80nan