Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

343×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	20	4
2	39	4
3	47	4
4	47	4

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: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

6.0ms	(+ (* (+ (* x y) z) y) t)
4.0ms	(+ (* x y) z)
6.0ms	(* (+ (* x y) z) y)

series114.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (* (+ (* x y) z) y) t)
21.0ms	(+ (* x y) z)
36.0ms	(* (+ (* x y) z) y)

simplify104.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	208	263
1	742	237
2	4187	233
3	5002	233

prune90.0ms

Filtered

51 candidates to 36 candidates (70.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	46	5	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	6	52

Merged error: 0.0b

Counts

52 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite11.0ms

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 y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series723.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt y) (cbrt y))
180.0ms	(cbrt y)
173.0ms	(cbrt y)
174.0ms	(cbrt y)

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

prune189.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (+ (* x y) z) (cbrt (pow y 2))) (cbrt y))
0.3b	(* (+ (* x y) z) (cbrt (pow y 2)))
0.7b	(cbrt y)
23.0b	(cbrt (pow y 2))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-prod`
21×	`add-sqr-sqrt`
17×	`associate-r`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log`
7×	`unpow-prod-down` `add-cbrt-cube`
6×	`associate-*l/`
5×	`unswap-sqr`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unpow2` `sqr-pow`
2×	`flip3-+` `pow1/3` `*-commutative` `flip-+`

Counts

4 → 82

Calls

4 calls:

10.0ms	(* (* (+ (* x y) z) (cbrt (pow y 2))) (cbrt y))
12.0ms	(* (+ (* x y) z) (cbrt (pow y 2)))
1.0ms	(cbrt y)
2.0ms	(cbrt (pow y 2))

series735.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (* (+ (* x y) z) (cbrt (pow y 2))) (cbrt y))
154.0ms	(* (+ (* x y) z) (cbrt (pow y 2)))
175.0ms	(cbrt y)
349.0ms	(cbrt (pow y 2))

simplify48.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	335	598
1	1591	531
2	5001	510

prune220.0ms

Filtered

94 candidates to 69 candidates (73.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	94	6	100

Merged error: 0.0b

Counts

100 → 6

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (pow y 2)) (* z y))
0.0b	(+ (* (- (cbrt -1)) (+ (* x (pow y 2)) (* z y))) t)
8.8b	(* x (pow y 2))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`add-exp-log` `associate-r`
7×	`add-log-exp`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-cbrt-cube`
4×	`unpow-prod-down` `unswap-sqr`
3×	`pow1` `associate-l` `prod-exp`
2×	`+-commutative` `associate-+l+` `flip3-+` `sum-log` `flip-+` `unpow2` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 51

Calls

3 calls:

4.0ms	(+ (* x (pow y 2)) (* z y))
9.0ms	(+ (* (- (cbrt -1)) (+ (* x (pow y 2)) (* z y))) t)
6.0ms	(* x (pow y 2))

series231.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (* x (pow y 2)) (* z y))
163.0ms	(+ (* (- (cbrt -1)) (+ (* x (pow y 2)) (* z y))) t)
29.0ms	(* x (pow y 2))

simplify40.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	295	382
1	1209	342
2	5001	334

prune135.0ms

Filtered

60 candidates to 43 candidates (71.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	60	6	66

Merged error: 0.0b

Counts

66 → 6

regimes176.0ms

Accuracy

0% (0.0b 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	4
1	12	4

end0.0ms

sample574.0ms

Algorithm

intervals

Results

291.0ms

11285×

body

valid

Details

sample19.0ms

simplify8.0ms

prune2.0ms

localize7.0ms

rewrite17.0ms

series114.0ms

simplify104.0ms

prune90.0ms

localize10.0ms

rewrite11.0ms

series723.0ms

simplify87.0ms

prune189.0ms

localize12.0ms

rewrite28.0ms

series735.0ms

simplify48.0ms

prune220.0ms

localize15.0ms

rewrite20.0ms

series231.0ms

simplify40.0ms

prune135.0ms

regimes176.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample574.0ms

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