Details

Time bar (total: 7.1s)

sample39.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
13.0ms250×body80nan

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
227510
367210
4130310
5173710
6180210
7180210

prune3.0ms

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)))))
0.2b
(* 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))
13.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series825.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
273.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
25.0ms
(* 6.0 (* v v))
422.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify115.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
09551468
146961282
250011281

prune297.0ms

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
(* (* (* 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)))))))

rewrite50.0ms

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:
12.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
15.0ms
(/ 4.0 (exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
12.0ms
(exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
284.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
25.0ms
(* 6.0 (* v v))
438.0ms
(/ 4.0 (exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
281.0ms
(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 (86.0ms)

IterNodesCost
08911888
141071670
250021664

prune381.0ms

Filtered
134 candidates to 103 candidates (76.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1340134
Fresh022
Picked011
Done000
Total1343137

Merged error: 0b

Counts
137 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (* 3.0 PI) 1.0) (* (* 3.0 PI) (- (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.2b
(* 6.0 (* v v))
0.2b
(* (* 3.0 PI) (- (* v v)))
1.0b
(/ 4.0 (* (+ (* (* 3.0 PI) 1.0) (* (* 3.0 PI) (- (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
16×pow1 add-sqr-sqrt
13×associate-*r*
12×sqrt-div
11×add-cube-cbrt *-un-lft-identity
8×frac-times associate-*l* prod-exp associate-/r/ cbrt-unprod
7×pow-prod-down
6×flip3-- flip3-+ flip-- flip-+
4×expm1-log1p-u associate-*r/ associate-*l/ sqrt-prod log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l* unswap-sqr
2×cbrt-undiv div-exp
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in frac-2neg clear-num associate-/r* distribute-rgt-neg-out div-inv distribute-lft-out
Counts
4 → 109
Calls
4 calls:
11.0ms
(* (+ (* (* 3.0 PI) 1.0) (* (* 3.0 PI) (- (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
5.0ms
(* 6.0 (* v v))
6.0ms
(* (* 3.0 PI) (- (* v v)))
11.0ms
(/ 4.0 (* (+ (* (* 3.0 PI) 1.0) (* (* 3.0 PI) (- (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series757.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(* (+ (* (* 3.0 PI) 1.0) (* (* 3.0 PI) (- (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
25.0ms
(* 6.0 (* v v))
47.0ms
(* (* 3.0 PI) (- (* v v)))
450.0ms
(/ 4.0 (* (+ (* (* 3.0 PI) 1.0) (* (* 3.0 PI) (- (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify127.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (111.0ms)

IterNodesCost
08741510
142891306
250011303

prune328.0ms

Filtered
121 candidates to 93 candidates (76.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh011
Picked011
Done011
Total1213124

Merged error: 0b

Counts
124 → 3

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
24×associate-*r/
19×pow1
18×flip3-- sqrt-div flip--
16×associate-/r/ log-pow
15×exp-prod prod-exp cbrt-unprod
13×add-sqr-sqrt
12×frac-times add-cube-cbrt *-un-lft-identity
9×pow-prod-down
7×associate-*r*
6×times-frac associate-*l/
4×cbrt-undiv expm1-log1p-u div-exp associate-*l* log1p-expm1-u add-log-exp
3×log-prod sqrt-prod associate-/l*
2×*-commutative div-inv
1×frac-2neg rem-log-exp clear-num associate-/r* unswap-sqr
Counts
4 → 119
Calls
4 calls:
12.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
13.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
7.0ms
(log (exp (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
294.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
442.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
447.0ms
(log (exp (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))

simplify104.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
09031711
141531520
250021516

prune390.0ms

Filtered
131 candidates to 99 candidates (75.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1310131
Fresh000
Picked011
Done022
Total1313134

Merged error: 0b

Counts
134 → 3

regimes71.0ms

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

sample1.1s

Algorithm
intervals
Results
433.0ms8000×body80valid
424.0ms7941×body80nan