Details

sample29.0ms

Algorithm

intervals

Results

7.0ms	270×	body	80	valid
7.0ms	280×	body	80	nan

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	5
1	47	5
2	71	5
3	103	5
4	124	5
5	138	5
6	148	5
7	148	5

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: 0.4b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.2b	(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
0.3b	(* y (sqrt z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
16×	`associate-l`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log` `times-frac` `add-cbrt-cube`
9×	`associate-r`
7×	`pow1`
5×	`add-log-exp`
4×	`sqrt-prod` `unswap-sqr`
3×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
2×	`frac-times` `associate-r/` `pow-prod-down` `-commutative`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `distribute-lft-in` `div-exp` `associate-*l/` `sum-log` `div-inv`

Counts

3 → 71

Calls

3 calls:

3.0ms	(+ x (* y (sqrt z)))
7.0ms	(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
5.0ms	(* y (sqrt z))

series114.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ x (* y (sqrt z)))
45.0ms	(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
41.0ms	(* y (sqrt z))

simplify52.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	484	496
1	2019	440
2	5002	435

prune161.0ms

Filtered

80 candidates to 60 candidates (75.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	73	7	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	8	81

Merged error: 0.3b

Counts

81 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.2b	(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
31×	`sqrt-prod`
21×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
17×	`associate-l`
16×	`add-exp-log` `add-cbrt-cube`
15×	`pow1`
10×	`times-frac`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`sqrt-pow1` `add-log-exp`
3×	`*-commutative`
2×	`frac-times` `rem-sqrt-square` `flip3-+` `pow1/2` `associate-*r/` `flip-+`
1×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `associate-*l/` `div-inv`

Counts

4 → 107

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
7.0ms	(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
6.0ms	(* y (sqrt (sqrt z)))
9.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series282.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(sqrt (sqrt z))
42.0ms	(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
73.0ms	(* y (sqrt (sqrt z)))
41.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify72.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	664	870
1	2953	718
2	5003	705

prune236.0ms

Filtered

119 candidates to 79 candidates (66.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	3	3	6
Picked	0	1	1
Done	1	0	1
Total	120	7	127

Merged error: 0.0b

Counts

127 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 1.0 2.0) x) (* (* (/ 1.0 2.0) y) (sqrt z)))
0.3b	(* (* (/ 1.0 2.0) y) (sqrt z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`associate-r`
5×	`associate-*l/` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`pow-prod-down` `sqrt-prod`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `associate-l` `frac-add` `sum-log` `*-commutative` `flip-+`

Counts

2 → 36

Calls

2 calls:

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

series104.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (* (/ 1.0 2.0) x) (* (* (/ 1.0 2.0) y) (sqrt z)))
57.0ms	(* (* (/ 1.0 2.0) y) (sqrt z))

simplify50.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	341	324
1	1516	275
2	5001	254

prune80.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	42	7	49

Merged error: 0.0b

Counts

49 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series726.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt z) (cbrt z))
173.0ms	(cbrt z)
175.0ms	(cbrt z)
179.0ms	(cbrt z)

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune287.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	86	6	92

Merged error: 0.0b

Counts

92 → 6

regimes217.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample819.0ms

Algorithm

intervals

Results

237.0ms	8520×	body	80	valid
221.0ms	8542×	body	80	nan