Details

sample35.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
11.0ms	235×	body	80	nan

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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: 0.0b

Counts

2 → 1

localize14.0ms

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))

rewrite35.0ms

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:

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)))))
6.0ms	(* 3.0 (* v v))

series534.0ms

Counts

3 → 9

Calls

3 calls:

308.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
200.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

simplify88.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	760	1460
1	3422	1374
2	5001	1372

prune263.0ms

Filtered

122 candidates to 84 candidates (68.9%)

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v))))))) (- 1.0 (* v v)))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))
0.1b	(* 3.0 (* v v))
2.8b	(log (exp (* 3.0 (* v v))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

15.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v))))))) (- 1.0 (* v v)))
14.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))
6.0ms	(* 3.0 (* v v))
2.0ms	(log (exp (* 3.0 (* v v))))

series560.0ms

Counts

4 → 12

Calls

4 calls:

301.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v))))))) (- 1.0 (* v v)))
206.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))
24.0ms	(* 3.0 (* v v))
29.0ms	(log (exp (* 3.0 (* v v))))

simplify96.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	781	1820
1	3472	1711
2	5001	1705

prune339.0ms

Filtered

142 candidates to 97 candidates (68.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	142	2	144

Merged error: 0b

Counts

144 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (- 1.0 (* 3.0 (* v v))))
0.0b	(cbrt (- 1.0 (* 3.0 (* v v))))
0.1b	(* 3.0 (* v v))
0.1b	(* 3.0 (* v v))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`cbrt-div` `add-log-exp`
2×	`flip3--` `pow1/3` `associate-r` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

2.0ms	(cbrt (- 1.0 (* 3.0 (* v v))))
2.0ms	(cbrt (- 1.0 (* 3.0 (* v v))))
6.0ms	(* 3.0 (* v v))
6.0ms	(* 3.0 (* v v))

series532.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(cbrt (- 1.0 (* 3.0 (* v v))))
240.0ms	(cbrt (- 1.0 (* 3.0 (* v v))))
29.0ms	(* 3.0 (* v v))
25.0ms	(* 3.0 (* v v))

simplify118.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	291	580
1	1022	540
2	4229	490
3	5001	490

prune223.0ms

Filtered

76 candidates to 54 candidates (71.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	76	2	78

Merged error: 0b

Counts

78 → 2

regimes28.0ms

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	12
1	19	12

end0.0ms

sample980.0ms

Algorithm

intervals

Results

398.0ms	8000×	body	80	valid
397.0ms	8042×	body	80	nan