Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

300×

body

valid

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	24	6
1	46	6
2	73	6
3	99	6
4	119	6
5	145	6
6	178	6
7	253	6
8	333	6
9	467	6
10	467	6

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

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* y z) 2.0)
0.0b	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `div-exp`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `associate-l/` `prod-exp` `clear-num` `frac-sub` `flip--` `cbrt-unprod` `div-inv` `associate-/l`

Counts

2 → 34

Calls

2 calls:

4.0ms	(/ (* y z) 2.0)
6.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

series73.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(/ (* y z) 2.0)
52.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify102.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	207	204
1	856	183
2	4232	183
3	5002	183

prune71.0ms

Filtered

40 candidates to 30 candidates (75.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	3	41

Merged error: 0b

Counts

41 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0))))
0.3b	(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
0.4b	(/ z (sqrt 2.0))
0.5b	(/ y (sqrt 2.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
84×	`times-frac`
60×	`add-cube-cbrt` `*-un-lft-identity`
48×	`sqrt-prod`
22×	`associate-r` `associate-l`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
9×	`unswap-sqr`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*` `add-log-exp`
5×	`associate-*l/`
4×	`prod-exp` `cbrt-unprod` `div-inv`
3×	`frac-sub`
2×	`frac-times` `frac-2neg` `associate-*r/` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--`

Counts

4 → 166

Calls

4 calls:

5.0ms	(- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0))))
16.0ms	(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
4.0ms	(/ z (sqrt 2.0))
4.0ms	(/ y (sqrt 2.0))

series402.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0))))
110.0ms	(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
54.0ms	(/ z (sqrt 2.0))
50.0ms	(/ y (sqrt 2.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	546	1219
1	2500	1132
2	5002	1074

prune317.0ms

Filtered

178 candidates to 113 candidates (63.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	178	3	181

Merged error: 0b

Counts

181 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.0b	(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.0b	(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.2b	(* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-div`
28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
11×	`flip3--` `frac-sub` `flip--`
10×	`sqrt-pow1` `pow1/2`
9×	`frac-times`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`unswap-sqr`
3×	`associate-*r/` `pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

6.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
6.0ms	(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
6.0ms	(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
16.0ms	(* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

series254.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
73.0ms	(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
68.0ms	(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
59.0ms	(* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

simplify50.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	300	1298
1	1136	1195
2	5002	1160

prune232.0ms

Filtered

121 candidates to 75 candidates (62.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	121	3	124

Merged error: 0b

Counts

124 → 3

regimes186.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

sample650.0ms

Algorithm

intervals

Results

395.0ms	9137×	body	80	valid
1.0ms	3×	body	1280	valid

Details

sample25.0ms

simplify34.0ms

prune2.0ms

localize12.0ms

rewrite11.0ms

series73.0ms

simplify102.0ms

prune71.0ms

localize11.0ms

rewrite38.0ms

series402.0ms

simplify66.0ms

prune317.0ms

localize15.0ms

rewrite37.0ms

series254.0ms

simplify50.0ms

prune232.0ms

regimes186.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample650.0ms

Profiling