Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

343×

body

valid

simplify9.0ms

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)

series117.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (* (+ (* x y) z) y) t)
21.0ms	(+ (* x y) z)
36.0ms	(* (+ (* x y) z) y)

simplify103.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (25.0ms)

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

prune86.0ms

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)

rewrite13.0ms

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:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
3.0ms	(cbrt y)

series716.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt y) (cbrt y))
182.0ms	(cbrt y)
171.0ms	(cbrt y)
168.0ms	(cbrt y)

simplify89.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

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

prune191.0ms

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

localize15.0ms

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))

rewrite24.0ms

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))
8.0ms	(* (+ (* 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))
146.0ms	(* (+ (* x y) z) (cbrt (pow y 2)))
353.0ms	(cbrt y)
178.0ms	(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

prune239.0ms

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

localize11.0ms

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))

rewrite19.0ms

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))
8.0ms	(+ (* (- (cbrt -1)) (+ (* x (pow y 2)) (* z y))) t)
5.0ms	(* x (pow y 2))

series230.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (* x (pow y 2)) (* z y))
159.0ms	(+ (* (- (cbrt -1)) (+ (* x (pow y 2)) (* z y))) t)
28.0ms	(* x (pow y 2))

simplify39.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (34.0ms)

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

prune173.0ms

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

regimes147.0ms

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

sample697.0ms

Algorithm

intervals

Results

379.0ms

11285×

body

valid