Details

analyze184.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

sample21.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid
0.0ms	2×	body	80	nan

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4855	12
1	4855	12

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

8.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
7.0ms	(+ (- 1.0 z) (log z))
9.0ms	(* y (+ (- 1.0 z) (log z)))

series41.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
14.0ms	(+ (- 1.0 z) (log z))
13.0ms	(* y (+ (- 1.0 z) (log z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5073	702

prune102.0ms

Filtered

48 candidates to 69 candidates (-43.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	62	7	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	7	70

Merged error: 0.0b

Counts

70 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (+ (+ (- 1.0 z) (* 2 (log (cbrt z)))) (log (cbrt z))))
0.2b	(+ (+ (- 1.0 z) (* 2 (log (cbrt z)))) (log (cbrt z)))
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `add-log-exp`
9×	`cbrt-prod`
8×	`pow1`
6×	`add-exp-log` `associate-+r+` `log-prod` `add-cbrt-cube`
5×	`associate-r` `sum-log`
4×	`distribute-lft-out`
3×	`associate-l`
2×	`associate-+l-` `flip3-+` `pow1/3` `associate-*r/` `log-pow` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

14.0ms	(* y (+ (+ (- 1.0 z) (* 2 (log (cbrt z)))) (log (cbrt z))))
11.0ms	(+ (+ (- 1.0 z) (* 2 (log (cbrt z)))) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series129.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* y (+ (+ (- 1.0 z) (* 2 (log (cbrt z)))) (log (cbrt z))))
50.0ms	(+ (+ (- 1.0 z) (* 2 (log (cbrt z)))) (log (cbrt z)))
22.0ms	(cbrt z)
22.0ms	(cbrt z)

simplify62.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5013	636

prune116.0ms

Filtered

59 candidates to 81 candidates (-37.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	82	6	88

Merged error: 0.0b

Counts

88 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (+ (* (log (cbrt z)) 2) (- 1.0 z)) y) (* (log (cbrt z)) y))
0.3b	(* (log (cbrt z)) y)
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

11.0ms	(+ (* (+ (* (log (cbrt z)) 2) (- 1.0 z)) y) (* (log (cbrt z)) y))
4.0ms	(* (log (cbrt z)) y)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series98.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* (+ (* (log (cbrt z)) 2) (- 1.0 z)) y) (* (log (cbrt z)) y))
23.0ms	(* (log (cbrt z)) y)
22.0ms	(cbrt z)
23.0ms	(cbrt z)

simplify46.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4939	453
1	4939	453

prune94.0ms

Filtered

48 candidates to 66 candidates (-37.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	66	6	72

Merged error: 0.0b

Counts

72 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y (- 1.0 z)) (* x 0.5))
0.1b	(+ (+ (* y (- 1.0 z)) (* x 0.5)) (* y (log z)))
0.3b	(* y (log z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

7.0ms	(+ (* y (- 1.0 z)) (* x 0.5))
10.0ms	(+ (+ (* y (- 1.0 z)) (* x 0.5)) (* y (log z)))
4.0ms	(* y (log z))

series28.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ (* y (- 1.0 z)) (* x 0.5))
14.0ms	(+ (+ (* y (- 1.0 z)) (* x 0.5)) (* y (log z)))
7.0ms	(* y (log z))

simplify51.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5081	709

prune63.0ms

Filtered

46 candidates to 66 candidates (-43.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	66	6	72

Merged error: 0.0b

Counts

72 → 6

regimes239.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	33	21
1	33	21

end0.0ms

sample541.0ms

Algorithm

intervals

Results

352.0ms	8000×	body	80	valid
13.0ms	312×	body	80	invalid
2.0ms	71×	body	80	nan

Details

analyze184.0ms

sample21.0ms

simplify112.0ms

prune7.0ms

localize9.0ms

rewrite26.0ms

series41.0ms

simplify47.0ms

prune102.0ms

localize13.0ms

rewrite29.0ms

series129.0ms

simplify62.0ms

prune116.0ms

localize18.0ms

rewrite18.0ms

series98.0ms

simplify46.0ms

prune94.0ms

localize10.0ms

rewrite22.0ms

series28.0ms

simplify51.0ms

prune63.0ms

regimes239.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample541.0ms

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