Details

analyze178.0ms

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	11×	body	80	invalid
0.0ms	2×	body	80	nan

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4855	12
1	4855	12

prune6.0ms

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)))

rewrite23.0ms

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:

5.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
7.0ms	(+ (- 1.0 z) (log z))
9.0ms	(* y (+ (- 1.0 z) (log z)))

series42.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
16.0ms	(+ (- 1.0 z) (log z))
13.0ms	(* y (+ (- 1.0 z) (log z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5073	702

prune92.0ms

Filtered

48 candidates to 69 candidates (-43.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	4	70

Merged error: 0.0b

Counts

70 → 4

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)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite25.0ms

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:

11.0ms	(* y (+ (+ (- 1.0 z) (* 2 (log (cbrt z)))) (log (cbrt z))))
10.0ms	(+ (+ (- 1.0 z) (* 2 (log (cbrt z)))) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series126.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* y (+ (+ (- 1.0 z) (* 2 (log (cbrt z)))) (log (cbrt z))))
46.0ms	(+ (+ (- 1.0 z) (* 2 (log (cbrt z)))) (log (cbrt z)))
23.0ms	(cbrt z)
21.0ms	(cbrt z)

simplify64.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5013	636

prune102.0ms

Filtered

59 candidates to 81 candidates (-37.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	81	4	85

Merged error: 0.0b

Counts

85 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (+ (* (log (cbrt z)) 2) (- 1.0 z)) y) (* (log (cbrt z)) y))
0.3b	(* (log (cbrt z)) y)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite17.0ms

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:

10.0ms	(+ (* (+ (* (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)

series93.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* (+ (* (log (cbrt z)) 2) (- 1.0 z)) y) (* (log (cbrt z)) y))
22.0ms	(* (log (cbrt z)) y)
23.0ms	(cbrt z)
21.0ms	(cbrt z)

simplify45.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4939	453
1	4939	453

prune82.0ms

Filtered

48 candidates to 66 candidates (-37.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	66	4	70

Merged error: 0.0b

Counts

70 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))
0.5b	(* (log z) (log z))
4.6b	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
10.2b	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
23×	`pow1`
16×	`add-cube-cbrt`
13×	`add-exp-log` `add-cbrt-cube`
12×	`distribute-rgt-in` `log-prod` `distribute-lft-in` `distribute-lft-out--`
10×	`log-pow`
9×	`sub-neg`
8×	`times-frac` `associate-r` `associate-/r*`
7×	`associate-l`
6×	`swap-sqr` `associate--l+` `associate--r+` `add-log-exp`
4×	`flip3--` `associate-*r/` `flip--` `difference-of-squares`
3×	`prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 118

Calls

4 calls:

10.0ms	(- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))
4.0ms	(* (log z) (log z))
12.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
18.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

series98.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))
14.0ms	(* (log z) (log z))
20.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
54.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	6379	1914

prune185.0ms

Filtered

88 candidates to 130 candidates (-47.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	129	5	134

Merged error: 0.0b

Counts

134 → 5

regimes215.0ms

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

sample573.0ms

Algorithm

intervals

Results

366.0ms	8000×	body	80	valid
14.0ms	321×	body	80	invalid
3.0ms	71×	body	80	nan

Details

analyze178.0ms

sample21.0ms

simplify113.0ms

prune6.0ms

localize9.0ms

rewrite23.0ms

series42.0ms

simplify48.0ms

prune92.0ms

localize13.0ms

rewrite25.0ms

series126.0ms

simplify64.0ms

prune102.0ms

localize14.0ms

rewrite17.0ms

series93.0ms

simplify45.0ms

prune82.0ms

localize14.0ms

rewrite49.0ms

series98.0ms

simplify61.0ms

prune185.0ms

regimes215.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample573.0ms

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