Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

317×

body

valid

simplify211.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	34	4
2	84	4
3	206	4
4	406	4
5	540	4
6	706	4
7	957	4
8	1458	4
9	2384	4
10	3658	4
11	4031	4
12	4429	4
13	5002	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: 4.9b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
4.6b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-l*`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 46

Calls

2 calls:

6.0ms	(* (- 1.0 y) z)
5.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (- 1.0 y) z)
49.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify104.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	211	251
1	863	221
2	3970	215
3	5001	215

prune72.0ms

Filtered

52 candidates to 33 candidates (63.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	4	53

Merged error: 0.0b

Counts

53 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y 1.0)))
2.1b	(* (* x z) (- y 1.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `add-log-exp`
3×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 41

Calls

2 calls:

7.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
7.0ms	(* (* x z) (- y 1.0))

series107.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
46.0ms	(* (* x z) (- y 1.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	257	266
1	1177	224
2	5002	219

prune61.0ms

Filtered

47 candidates to 30 candidates (63.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	47	4	51

Merged error: 0.0b

Counts

51 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.8b	(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))
3.1b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
10×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in`
9×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`sub-neg` `associate-*r/`
4×	`associate-r` `add-log-exp`
2×	`flip3--` `pow1/3` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))
11.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))

series520.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt x)
175.0ms	(cbrt x)
104.0ms	(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))
65.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))

simplify54.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	334	759
1	1439	577
2	5001	488

prune144.0ms

Filtered

94 candidates to 58 candidates (61.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	94	4	98

Merged error: 0.0b

Counts

98 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 y) z)
0.2b	(pow (* x (- 1.0 (* (- 1.0 y) z))) 3)
4.6b	(* x (- 1.0 (* (- 1.0 y) z)))
38.4b	(cbrt (pow (* x (- 1.0 (* (- 1.0 y) z))) 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt`
8×	`cbrt-prod` `associate-l`
6×	`associate-r/` `associate-r*`
4×	`cube-div` `flip3--` `flip--` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `cube-mult` `sub-neg` `unpow-prod-down` `cbrt-div` `pow-pow` `distribute-lft-in` `unpow3` `cube-prod` `associate-l/` `pow-exp` `-commutative` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `rem-cbrt-cube` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 89

Calls

4 calls:

6.0ms	(* (- 1.0 y) z)
5.0ms	(pow (* x (- 1.0 (* (- 1.0 y) z))) 3)
8.0ms	(* x (- 1.0 (* (- 1.0 y) z)))
2.0ms	(cbrt (pow (* x (- 1.0 (* (- 1.0 y) z))) 3))

series212.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- 1.0 y) z)
75.0ms	(pow (* x (- 1.0 (* (- 1.0 y) z))) 3)
49.0ms	(* x (- 1.0 (* (- 1.0 y) z)))
61.0ms	(cbrt (pow (* x (- 1.0 (* (- 1.0 y) z))) 3))

simplify60.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	394	604
1	1863	563
2	5001	562

prune175.0ms

Filtered

101 candidates to 68 candidates (67.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	101	4	105

Merged error: 0.0b

Counts

105 → 4

regimes215.0ms

Accuracy

96.9% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	13
1	28	13

end0.0ms

sample532.0ms

Algorithm

intervals

Results

306.0ms

10135×

body

valid