Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
8.0ms	228×	body	80	nan

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	10
1	91	10
2	263	10
3	620	10
4	1138	10
5	1470	10
6	1510	10
7	1510	10

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 1.0b

Counts

2 → 1

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log` `add-cbrt-cube`
23×	`pow1`
18×	`associate-*r/` `prod-exp` `cbrt-unprod`
13×	`flip3--` `flip--`
12×	`add-sqr-sqrt` `sqrt-div` `pow-prod-down`
11×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`frac-times` `associate-/r/`
5×	`associate-l`
4×	`cbrt-undiv` `div-exp` `associate-*l/` `add-log-exp`
3×	`times-frac` `sqrt-prod` `-commutative` `associate-/l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `difference-of-squares` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

7.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
11.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
5.0ms	(* 6.0 (* v v))
12.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series811.0ms

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)))))
24.0ms	(* 6.0 (* v v))
422.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify106.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	888	1350
1	4408	1176
2	5002	1174

prune251.0ms

Filtered

121 candidates to 78 candidates (64.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	118	3	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	119	3	122

Merged error: 0b

Counts

122 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
44×	`add-sqr-sqrt`
42×	`add-cube-cbrt` `*-un-lft-identity`
37×	`add-exp-log` `add-cbrt-cube`
30×	`sqrt-prod`
18×	`associate-*r/` `associate-/r/`
14×	`pow1`
12×	`prod-exp` `cbrt-unprod` `associate-/l*`
10×	`cbrt-undiv` `flip3--` `div-exp` `flip--`
9×	`div-inv`
7×	`associate-/r*`
6×	`pow-prod-down`
5×	`associate-r`
4×	`associate-l` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `sqrt-div` `clear-num` `*-commutative`
1×	`associate-/l/` `difference-of-squares` `unswap-sqr`

Counts

4 → 159

Calls

4 calls:

7.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
12.0ms	(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
7.0ms	(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
6.0ms	(* 6.0 (* v v))

series644.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
416.0ms	(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
98.0ms	(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
25.0ms	(* 6.0 (* v v))

simplify114.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	937	2186
1	4457	2002
2	5001	1982

prune325.0ms

Filtered

171 candidates to 109 candidates (63.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	171	3	174

Merged error: 0b

Counts

174 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

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	(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))))))))

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` `exp-prod` `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 → 109

Calls

4 calls:

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

series1.7s

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 6.0 (* v v))
443.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
837.0ms	(log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))
444.0ms	(exp (log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))

simplify120.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	999	1878
1	4704	1696
2	5001	1696

prune384.0ms

Filtered

121 candidates to 93 candidates (76.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	121	3	124

Merged error: 0b

Counts

124 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* v v) 3)
0.1b	(* 6.0 (* v v))
0.2b	(* (* v v) (* v v))
1.0b	(/ 4.0 (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

128×	`pow1`
38×	`add-exp-log` `add-cbrt-cube`
37×	`pow-prod-up`
27×	`pow-prod-down`
23×	`pow-sqr`
19×	`pow-plus`
18×	`prod-exp` `cbrt-unprod`
14×	`pow2`
9×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r/` `associate-/r/`
6×	`flip3--` `pow-pow` `sqrt-div` `flip--`
4×	`cbrt-undiv` `frac-times` `div-exp` `associate-l` `add-log-exp`
3×	`pow-unpow` `times-frac` `associate-/l*`
2×	`associate-r` `associate-l/` `pow-exp` `-commutative` `rem-cube-cbrt` `unswap-sqr`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `frac-2neg` `unpow3` `cube-prod` `swap-sqr` `clear-num` `associate-/r*` `div-inv` `sqr-pow`

Counts

4 → 141

Calls

4 calls:

4.0ms	(pow (* v v) 3)
6.0ms	(* 6.0 (* v v))
9.0ms	(* (* v v) (* v v))
25.0ms	(/ 4.0 (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series440.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(pow (* v v) 3)
25.0ms	(* 6.0 (* v v))
32.0ms	(* (* v v) (* v v))
333.0ms	(/ 4.0 (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify93.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	704	822
1	3262	686
2	5001	686

prune331.0ms

Filtered

153 candidates to 72 candidates (47.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	153	3	156

Merged error: 0b

Counts

156 → 3

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)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms

sample771.0ms

Algorithm

intervals

Results

303.0ms	8000×	body	80	valid
285.0ms	7857×	body	80	nan