Details

Time bar (total: 6.7s)

sample31.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
9.0ms274×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize12.0ms

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))))))

rewrite83.0ms

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)))
30.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
31.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series831.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
271.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
426.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify113.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
09551468
146961282
250011281

prune308.0ms

Filtered
135 candidates to 89 candidates (65.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize28.0ms

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))
0.2b
(* 6.0 (* v v))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-exp-log add-cbrt-cube
12×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
4 → 84
Calls
4 calls:
6.0ms
(* 6.0 (* v v))
10.0ms
(* 6.0 (* v v))
6.0ms
(* 6.0 (* v v))
6.0ms
(* 6.0 (* v v))

series103.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 6.0 (* v v))
30.0ms
(* 6.0 (* v v))
24.0ms
(* 6.0 (* v v))
24.0ms
(* 6.0 (* v v))

simplify101.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
088324
1292264
2832264
32900264
45002264

prune341.0ms

Filtered
96 candidates to 56 candidates (58.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

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))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
1.0b
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

rewrite94.0ms

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:
11.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
7.0ms
(* 6.0 (* v v))
27.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
38.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

series1.9s

Counts
4 → 12
Calls
4 calls:
331.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
24.0ms
(* 6.0 (* v v))
557.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
950.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

simplify55.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011902718
150022574

prune455.0ms

Filtered
174 candidates to 107 candidates (61.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

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)))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
13×add-sqr-sqrt flip3-- associate-*r* flip--
12×add-cube-cbrt *-un-lft-identity sqrt-div pow-prod-down
8×frac-times associate-/r/
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×cbrt-undiv expm1-log1p-u div-exp associate-*l/ log1p-expm1-u add-log-exp
3×times-frac associate-*l* sqrt-prod *-commutative associate-/l*
2×sub-neg
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares
Counts
4 → 122
Calls
4 calls:
11.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
33.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* (* 6.0 v) v))))
7.0ms
(* (* 6.0 v) v)
28.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* (* 6.0 v) v)))))

series801.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
265.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* (* 6.0 v) v))))
27.0ms
(* (* 6.0 v) v)
407.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* (* 6.0 v) v)))))

simplify123.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09671468
148981279
250011279

prune289.0ms

Filtered
134 candidates to 88 candidates (65.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes72.0ms

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
04030
14030

end0.0ms

sample789.0ms

Algorithm
intervals
Results
312.0ms8000×body80valid
283.0ms7966×body80nan