Details

sample40.0ms

Algorithm

intervals

Results

13.0ms	251×	body	80	nan
13.0ms	256×	body	80	valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	182	10
3	370	10
4	713	10
5	1066	10
6	1201	10
7	1308	10
8	1308	10

prune3.0ms

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: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
26×	`associate-l`
22×	`add-exp-log` `times-frac` `add-cbrt-cube`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`frac-times`
17×	`sqrt-prod`
16×	`sqrt-div`
15×	`pow1`
14×	`flip3--` `flip--`
11×	`associate-r`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
3×	`*-commutative` `add-log-exp`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp`
1×	`div-inv` `difference-of-squares`

Counts

3 → 113

Calls

3 calls:

11.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
10.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
5.0ms	(* 3.0 (* v v))

series28.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
11.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms	(* 3.0 (* v v))

simplify84.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	764	1460
1	3450	1374
2	5002	1372

prune226.0ms

Filtered

84 candidates to 122 candidates (-45.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	2	123

Merged error: 0b

Counts

123 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

31×	`associate-l`
26×	`add-sqr-sqrt`
22×	`add-exp-log` `add-cbrt-cube`
20×	`frac-times` `add-cube-cbrt` `*-un-lft-identity`
18×	`flip3--` `times-frac` `sqrt-div` `flip--`
15×	`pow1`
14×	`associate-*r/`
13×	`sqrt-prod`
10×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `cbrt-unprod`
7×	`pow-prod-down` `associate-*l/`
6×	`sub-neg` `associate-r`
3×	`*-commutative` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `div-exp`
1×	`div-inv` `difference-of-squares`

Counts

3 → 120

Calls

3 calls:

8.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
13.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
6.0ms	(* 3.0 (* v v))

series24.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
13.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
3.0ms	(* 3.0 (* v v))

simplify87.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	839	1626
1	3610	1533
2	5001	1533

prune224.0ms

Filtered

88 candidates to 129 candidates (-46.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	129	2	131

Merged error: 0b

Counts

131 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (sqrt (cbrt 2.0)) (cbrt 4.0))
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-prod`
54×	`times-frac`
48×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
42×	`sqrt-prod`
9×	`associate-/l*`
6×	`add-exp-log` `associate-/r*`
5×	`add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`pow1/3`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 114

Calls

4 calls:

6.0ms	(/ (sqrt (cbrt 2.0)) (cbrt 4.0))
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ (sqrt (cbrt 2.0)) (cbrt 4.0))
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)

simplify67.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 4 (55.0ms)

Iter	Nodes	Cost
0	181	909
1	422	883
2	1021	871
3	2465	835
4	5001	832

prune339.0ms

Filtered

77 candidates to 118 candidates (-53.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	118	2	120

Merged error: 0b

Counts

120 → 2

regimes51.0ms

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	17	10
1	17	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

389.0ms	8054×	body	80	nan
388.0ms	8000×	body	80	valid

Details

sample40.0ms

simplify58.0ms

prune3.0ms

localize10.0ms

rewrite31.0ms

series28.0ms

simplify84.0ms

prune226.0ms

localize10.0ms

rewrite33.0ms

series24.0ms

simplify87.0ms

prune224.0ms

localize18.0ms

rewrite14.0ms

series0.0ms

simplify67.0ms

prune339.0ms

regimes51.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

Profiling