Details

Time bar (total: 6.9s)

sample35.0ms

Algorithm
intervals
Results
12.0ms259×body80nan
10.0ms256×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
226310
362010
4113810
5147010
6151010
7151010

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize13.0ms

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

rewrite170.0ms

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×sqrt-div
10×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity pow-prod-down
8×frac-times associate-/r/
7×associate-*r*
6×add-log-exp
4×cbrt-undiv div-exp associate-*l* associate-*l/
3×times-frac sqrt-prod associate-/l*
2×*-commutative
1×sub-neg frac-2neg diff-log clear-num associate-/r* div-inv unswap-sqr
Counts
4 → 96
Calls
4 calls:
6.0ms
(- 2.0 (* 6.0 (* v v)))
76.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
16.0ms
(* 6.0 (* v v))
69.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series764.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- 2.0 (* 6.0 (* v v)))
262.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
23.0ms
(* 6.0 (* v v))
420.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify96.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
08361265
139441110
250021108

prune254.0ms

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

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log add-cbrt-cube
32×associate-*r/
24×flip3-- sqrt-div associate-/r/ flip--
21×prod-exp cbrt-unprod
19×pow1
16×frac-times
15×add-sqr-sqrt unpow-prod-down cube-prod
14×add-cube-cbrt *-un-lft-identity
9×times-frac pow-prod-down
8×cbrt-undiv div-exp associate-*l/
7×associate-*r*
5×pow-exp rem-cube-cbrt
4×associate-*l* add-log-exp
3×pow-unpow sqrt-prod div-inv associate-/l*
2×*-commutative
1×cube-div cube-mult pow-to-exp pow-pow frac-2neg unpow3 clear-num associate-/r* unswap-sqr sqr-pow
Counts
4 → 140
Calls
4 calls:
76.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
16.0ms
(* 6.0 (* v v))
67.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
82.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

series1.8s

Counts
4 → 12
Calls
4 calls:
261.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
23.0ms
(* 6.0 (* v v))
608.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
920.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

simplify49.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012452215
150022042

prune460.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* v v) (* v v))
0.1b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))
1.0b
(pow (/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

rewrite240.0ms

Algorithm
rewrite-expression-head
Rules
121×pow1
50×add-exp-log add-cbrt-cube
36×pow-prod-up
26×pow-prod-down
24×associate-*r/ associate-/r/
23×prod-exp cbrt-unprod
22×pow-sqr
18×flip3-- pow-plus sqrt-div flip--
15×unpow-prod-down cube-prod
13×pow2 add-sqr-sqrt
12×frac-times add-cube-cbrt *-un-lft-identity
9×times-frac
8×cbrt-undiv div-exp
6×associate-*l/
5×pow-exp rem-cube-cbrt
4×associate-*l* add-log-exp
3×pow-unpow div-inv associate-/l*
2×associate-*r* *-commutative unswap-sqr
1×cube-div cube-mult pow-to-exp pow-pow frac-2neg unpow3 swap-sqr clear-num associate-/r* sqr-pow
Counts
4 → 171
Calls
4 calls:
30.0ms
(* (* v v) (* v v))
17.0ms
(* 6.0 (* v v))
79.0ms
(/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))
105.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

series1.2s

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (* v v) (* v v))
30.0ms
(* 6.0 (* v v))
364.0ms
(/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))
751.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

simplify48.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011142127
150011932

prune521.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes60.0ms

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
03019
13019

end0.0ms

sample839.0ms

Algorithm
intervals
Results
315.0ms8000×body80valid
279.0ms7853×body80nan