Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

399×

body

valid

simplify275.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	16	6
1	33	4
2	56	4
3	76	3
4	88	3
5	131	3
6	236	3
7	328	3
8	343	3
9	443	3
10	797	3
11	3499	3
12	5001	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x y) (* z z)) (* z z))
0.0b	(+ (* x y) (* z z))
0.1b	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
7×	`fma-def`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`associate-+l+`

Counts

3 → 51

Calls

3 calls:

6.0ms	(+ (+ (* x y) (* z z)) (* z z))
6.0ms	(+ (* x y) (* z z))
8.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series124.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (+ (* x y) (* z z)) (* z z))
34.0ms	(+ (* x y) (* z z))
44.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify133.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	235	373
1	1084	317
2	4667	293
3	5001	292

prune119.0ms

Filtered

60 candidates to 47 candidates (78.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	55	7	62

Merged error: 0.0b

Counts

62 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
3.2b	(cbrt (+ (* x y) (* z z)))
3.2b	(cbrt (+ (* x y) (* z z)))
3.2b	(cbrt (+ (* x y) (* z z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

12.0ms	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
3.0ms	(cbrt (+ (* x y) (* z z)))
3.0ms	(cbrt (+ (* x y) (* z z)))
3.0ms	(cbrt (+ (* x y) (* z z)))

series485.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
117.0ms	(cbrt (+ (* x y) (* z z)))
114.0ms	(cbrt (+ (* x y) (* z z)))
115.0ms	(cbrt (+ (* x y) (* z z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	295	1068
1	1172	1002
2	5001	923

prune266.0ms

Filtered

107 candidates to 86 candidates (80.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	103	4	107
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	104	10	114

Merged error: 0.0b

Counts

114 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
3.2b	(cbrt (+ (* x y) (* z z)))
3.2b	(cbrt (+ (* x y) (* z z)))
3.2b	(cbrt (+ (* x y) (* z z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

10.0ms	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
3.0ms	(cbrt (+ (* x y) (* z z)))
3.0ms	(cbrt (+ (* x y) (* z z)))
3.0ms	(cbrt (+ (* x y) (* z z)))

series493.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
115.0ms	(cbrt (+ (* x y) (* z z)))
118.0ms	(cbrt (+ (* x y) (* z z)))
120.0ms	(cbrt (+ (* x y) (* z z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	295	1068
1	1172	1002
2	5001	923

prune268.0ms

Filtered

107 candidates to 86 candidates (80.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	108	9	117

Merged error: 0.0b

Counts

117 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
3.2b	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
3.2b	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
3.2b	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

16.0ms	(* (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
7.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

series545.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
130.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
132.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
131.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

simplify119.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	317	1903
1	1083	1778
2	4730	1641
3	5001	1641

prune249.0ms

Filtered

107 candidates to 86 candidates (80.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	106	10	116

Merged error: 0.0b

Counts

116 → 10

regimes225.0ms

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	12	7
1	12	7

end0.0ms

sample522.0ms

Algorithm

intervals

Results

292.0ms

12170×

body

valid