Details

Time bar (total: 9.0s)

sample31.0ms

Algorithm
intervals
Results
10.0ms280×body80nan
9.0ms256×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
227510
367210
4130310
5173710
6180210
7180210

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 1

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

rewrite44.0ms

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:
10.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
11.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series850.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
286.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
25.0ms
(* 6.0 (* v v))
429.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify112.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
09551468
146961282
250011281

prune313.0ms

Filtered
135 candidates to 89 candidates (65.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1323135
Fresh000
Picked101
Done000
Total1333136

Merged error: 0b

Counts
136 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
97×add-exp-log add-cbrt-cube
40×prod-exp cbrt-unprod
32×associate-*r/
30×cbrt-undiv div-exp
25×associate-*l*
23×times-frac
18×flip3-- sqrt-div flip--
17×add-sqr-sqrt
16×pow1 associate-/r/
14×frac-times add-cube-cbrt *-un-lft-identity
7×pow-prod-down associate-*l/ associate-/l*
5×associate-*r* div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×flip3-+ flip-+ unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r* associate-/l/
Counts
4 → 164
Calls
4 calls:
19.0ms
(* (/ (/ 4.0 (* 3.0 PI)) (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))) (+ 1.0 (* v v)))
14.0ms
(/ (/ 4.0 (* 3.0 PI)) (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))))
9.0ms
(* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))
6.0ms
(* 6.0 (* v v))

series1.2s

Counts
4 → 12
Calls
4 calls:
514.0ms
(* (/ (/ 4.0 (* 3.0 PI)) (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))) (+ 1.0 (* v v)))
427.0ms
(/ (/ 4.0 (* 3.0 PI)) (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))))
205.0ms
(* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))
29.0ms
(* 6.0 (* v v))

simplify63.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013672814
150022402

prune504.0ms

Filtered
176 candidates to 130 candidates (73.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1760176
Fresh022
Picked011
Done000
Total1763179

Merged error: 0b

Counts
179 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
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)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
40×associate-*r/ associate-/r/
38×add-exp-log add-cbrt-cube
36×cbrt-prod
30×unpow-prod-down flip3-- sqrt-div cube-prod flip--
20×frac-times
18×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
15×times-frac prod-exp cbrt-unprod
10×pow1 associate-*l/
8×cbrt-undiv div-exp
5×pow-exp div-inv rem-cube-cbrt
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-*l* pow-prod-down associate-/l*
2×cube-div cube-mult unpow3 sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 associate-*r* clear-num associate-/r* *-commutative rem-cbrt-cube unswap-sqr
Counts
4 → 162
Calls
4 calls:
7.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
6.0ms
(* 6.0 (* v v))
18.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
15.0ms
(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:
367.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
26.0ms
(* 6.0 (* v v))
457.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
971.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

simplify65.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011902718
150022574

prune415.0ms

Filtered
174 candidates to 106 candidates (60.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1740174
Fresh011
Picked011
Done011
Total1743177

Merged error: 0b

Counts
177 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
30×log-prod
24×associate-*r/ associate-/r/
23×add-cbrt-cube
18×flip3-- sqrt-div flip--
15×exp-sum prod-exp
13×add-sqr-sqrt
12×frac-times add-cube-cbrt *-un-lft-identity
11×pow1
9×times-frac cbrt-unprod
8×div-exp
6×associate-*l/
5×rem-log-exp
4×cbrt-undiv expm1-log1p-u exp-prod log1p-expm1-u add-log-exp
3×associate-*l* pow-prod-down div-inv associate-/l*
2×log-div log-pow
1×frac-2neg exp-diff associate-*r* clear-num associate-/r* *-commutative rem-exp-log unswap-sqr
Counts
4 → 117
Calls
4 calls:
6.0ms
(* 6.0 (* v v))
12.0ms
(log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))
13.0ms
(exp (log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.9s

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 6.0 (* v v))
818.0ms
(log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))
432.0ms
(exp (log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
647.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify119.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
010391919
148641749
250011748

prune394.0ms

Filtered
129 candidates to 100 candidates (77.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1290129
Fresh000
Picked011
Done022
Total1293132

Merged error: 0b

Counts
132 → 3

regimes109.0ms

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
02615
12615

end0.0ms

sample755.0ms

Algorithm
intervals
Results
294.0ms8000×body80valid
284.0ms7965×body80nan