Details

analyze190.0ms

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

sample22.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	10×	body	80	invalid
0.0ms	1×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	53	12
1	53	12

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

4.0ms	(+ (* x 0.5) (* y (+ 1.0 (- (log z) z))))
9.0ms	(+ 1.0 (- (log z) z))
4.0ms	(- (log z) z)
8.0ms	(* y (+ 1.0 (- (log z) z)))

series53.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify48.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5029	794

prune112.0ms

Filtered

57 candidates to 87 candidates (-52.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	82	5	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	5	88

Merged error: 0.0b

Counts

88 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

9.0ms	(+ (+ 1.0 (* (log (cbrt z)) 2)) (- (log (cbrt z)) z))
10.0ms	(* y (+ (+ 1.0 (* (log (cbrt z)) 2)) (- (log (cbrt z)) z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series125.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (+ 1.0 (* (log (cbrt z)) 2)) (- (log (cbrt z)) z))
36.0ms	(* y (+ (+ 1.0 (* (log (cbrt z)) 2)) (- (log (cbrt z)) z)))
21.0ms	(cbrt z)
22.0ms	(cbrt z)

simplify47.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4948	1053
1	4948	1053

prune117.0ms

Filtered

63 candidates to 93 candidates (-47.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	93	5	98

Merged error: 0.0b

Counts

98 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite10.0ms

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)
1.0ms	(cbrt y)

series90.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt y) (cbrt y))
24.0ms	(cbrt y)
21.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify38.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5084	341

prune83.0ms

Filtered

50 candidates to 85 candidates (-70.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (+ 1.0 (- (log z) z)))) (cbrt (* y (+ 1.0 (- (log z) z)))))
0.6b	(cbrt (* y (+ 1.0 (- (log z) z))))
0.6b	(cbrt (* y (+ 1.0 (- (log z) z))))
0.6b	(cbrt (* y (+ 1.0 (- (log z) z))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* y (+ 1.0 (- (log z) z)))) (cbrt (* y (+ 1.0 (- (log z) z)))))
6.0ms	(cbrt (* y (+ 1.0 (- (log z) z))))
6.0ms	(cbrt (* y (+ 1.0 (- (log z) z))))
7.0ms	(cbrt (* y (+ 1.0 (- (log z) z))))

series170.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (cbrt (* y (+ 1.0 (- (log z) z)))) (cbrt (* y (+ 1.0 (- (log z) z)))))
35.0ms	(cbrt (* y (+ 1.0 (- (log z) z))))
37.0ms	(cbrt (* y (+ 1.0 (- (log z) z))))
34.0ms	(cbrt (* y (+ 1.0 (- (log z) z))))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5185	3102

prune324.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

regimes222.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	21	19
1	21	19

end0.0ms

analyze183.0ms

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

sample566.0ms

Algorithm

intervals

Results

370.0ms	8000×	body	80	valid
15.0ms	350×	body	80	invalid
2.0ms	62×	body	80	nan

Details

analyze190.0ms

sample22.0ms

simplify3.0ms

prune8.0ms

localize10.0ms

rewrite27.0ms

series53.0ms

simplify48.0ms

prune112.0ms

localize17.0ms

rewrite25.0ms

series125.0ms

simplify47.0ms

prune117.0ms

localize16.0ms

rewrite10.0ms

series90.0ms

simplify38.0ms

prune83.0ms

localize18.0ms

rewrite28.0ms

series170.0ms

simplify43.0ms

prune324.0ms

regimes222.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze183.0ms

sample566.0ms

Profiling