Details

sample41.0ms

Algorithm

intervals

Results

14.0ms	261×	body	80	nan
14.0ms	256×	body	80	valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 2.0 (* 6.0 (* v v))))
0.0b	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.3b	(* 6.0 (* v v))
1.0b	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
19×	`pow1`
16×	`associate-*r/`
15×	`prod-exp` `cbrt-unprod`
14×	`sqrt-div`
13×	`flip3--` `flip--`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-down`
8×	`frac-times` `associate-/r/`
7×	`associate-r`
6×	`sqrt-prod`
4×	`cbrt-undiv` `div-exp` `associate-l` `associate-*l/` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`*-commutative`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

2.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
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))))))

series805.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
270.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
30.0ms	(* 6.0 (* v v))
424.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify100.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	873	1329
1	4124	1178
2	5002	1175

prune248.0ms

Filtered

111 candidates to 77 candidates (69.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	108	3	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	3	112

Merged error: 0b

Counts

112 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (* 6.0 (* v v)))
0.0b	(sqrt (- 2.0 (* 6.0 (* v v))))
0.0b	(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
0.3b	(* 6.0 (* v v))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `times-frac` `div-exp` `associate-l` `pow-prod-down` `sqrt-prod` `flip--` `associate-/l*`
2×	`sqrt-div` `associate-*r/` `associate-/r/`
1×	`sub-neg` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `associate-r` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

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

series463.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- 2.0 (* 6.0 (* v v)))
78.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
298.0ms	(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
30.0ms	(* 6.0 (* v v))

simplify52.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	491	530
1	2043	466
2	5003	466

prune156.0ms

Filtered

83 candidates to 58 candidates (69.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	83	3	86

Merged error: 0b

Counts

86 → 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))
0.3b	(* 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)

rewrite53.0ms

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×	`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 → 154

Calls

4 calls:

8.0ms	(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
10.0ms	(* 6.0 (* v v))
12.0ms	(/ 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)

series1.7s

Counts

4 → 12

Calls

4 calls:

354.0ms	(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))
427.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
916.0ms	(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

simplify60.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1152	2672
1	5002	2532

prune381.0ms

Filtered

166 candidates to 98 candidates (59.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	166	3	169

Merged error: 0b

Counts

169 → 3

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.3b	(* 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))))))))

rewrite49.0ms

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` `div-exp` `associate-l` `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 → 111

Calls

4 calls:

11.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms	(* 6.0 (* v v))
17.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
10.0ms	(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:

272.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
32.0ms	(* 6.0 (* v v))
431.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
429.0ms	(log (exp (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))

simplify100.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	874	1661
1	4018	1471
2	5002	1469

prune334.0ms

Filtered

123 candidates to 89 candidates (72.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	123	3	126

Merged error: 0b

Counts

126 → 3

regimes97.0ms

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

sample1.1s

Algorithm

intervals

Results

443.0ms	8296×	body	80	nan
434.0ms	8000×	body	80	valid