Details

Time bar (total: 5.5s)

sample31.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
9.0ms258×body80nan

simplify63.0ms

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
(- 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))))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
18×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
13×flip3-- flip--
12×add-sqr-sqrt sqrt-div
11×add-cube-cbrt *-un-lft-identity
9×pow-prod-down
8×frac-times associate-/r/
7×associate-*r*
6×add-log-exp
4×cbrt-undiv expm1-log1p-u div-exp associate-*l* associate-*l/ log1p-expm1-u
3×times-frac fma-neg prod-diff sqrt-prod associate-/l*
2×*-commutative
1×sub-neg frac-2neg diff-log clear-num associate-/r* div-inv unswap-sqr
Counts
4 → 110
Calls
4 calls:
3.0ms
(- 2.0 (* 6.0 (* v v)))
36.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
7.0ms
(* 6.0 (* v v))
29.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series779.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(- 2.0 (* 6.0 (* v v)))
267.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
31.0ms
(* 6.0 (* v v))
422.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify100.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
08841351
141531184
250011179

prune302.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite274.0ms

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:
31.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
129.0ms
(/ 4.0 (exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
102.0ms
(exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
257.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
27.0ms
(* 6.0 (* v v))
404.0ms
(/ 4.0 (exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
463.0ms
(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 (87.0ms)

IterNodesCost
08911888
141071670
250021664

prune408.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
102×add-sqr-sqrt
94×add-exp-log
67×add-cube-cbrt *-un-lft-identity
52×add-cbrt-cube
42×div-exp
37×associate-*l*
28×prod-exp
25×associate-*r*
23×sqrt-prod
20×cbrt-undiv
15×difference-of-squares
14×cbrt-unprod
13×div-inv
11×pow1
10×associate-/r* associate-/l*
8×associate-/r/
7×unswap-sqr
6×rec-exp 1-exp
4×expm1-log1p-u flip3-- sqrt-div pow-prod-down flip-- log1p-expm1-u add-log-exp
2×frac-2neg clear-num *-commutative
1×frac-times associate-*r/ associate-*l/ associate-/l/
Counts
4 → 230
Calls
4 calls:
9.0ms
(/ (/ 1 (* 3.0 PI)) (- 1.0 (* v v)))
6.0ms
(* 6.0 (* v v))
5.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
50.0ms
(* (/ (/ 1 (* 3.0 PI)) (- 1.0 (* v v))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))

series687.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(/ (/ 1 (* 3.0 PI)) (- 1.0 (* v v)))
27.0ms
(* 6.0 (* v v))
158.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
405.0ms
(* (/ (/ 1 (* 3.0 PI)) (- 1.0 (* v v))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify54.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013392748
150022452

prune524.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes39.0ms

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
02311
12311

end0.0ms

sample781.0ms

Algorithm
intervals
Results
303.0ms8000×body80valid
283.0ms8033×body80nan