Details

analyze1.3s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

sample81.0ms

Algorithm

intervals

Results

21.0ms	316×	body	80	nan
20.0ms	255×	body	80	valid
3.0ms	39×	body	80	invalid
0.0ms	1×	body	640	valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5223	21

prune12.0ms

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

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) z)
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
22×	`add-sqr-sqrt`
20×	`add-log-exp`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`sum-log`
10×	`pow1`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
7×	`associate-+l+`
6×	`associate-+r+` `associate-*l/`
4×	`flip3-+` `frac-add` `flip-+`
3×	`flip3--` `flip--`
2×	`+-commutative` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

5.0ms	(+ (* x (log y)) z)
14.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
7.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series95.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (* x (log y)) z)
67.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
9.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

simplify29.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5182	1390

prune190.0ms

Filtered

77 candidates to 108 candidates (-40.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	100	8	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	8	109

Merged error: 0.0b

Counts

109 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

5.0ms	(* x (log y))
14.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
2.0ms	(cbrt c)

series89.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (log y))
36.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
24.0ms	(cbrt c)
22.0ms	(cbrt c)

simplify26.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5291	1179

prune200.0ms

Filtered

91 candidates to 111 candidates (-22.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	111	8	119

Merged error: 0.0b

Counts

119 → 8

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (pow c 1/3))))
0.6b	(cbrt c)
5.1b	(pow c 1/3)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

44×	`log-prod`
34×	`distribute-rgt-in` `distribute-lft-in`
25×	`add-sqr-sqrt`
24×	`associate-+l+`
23×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
14×	`associate-+r+`
9×	`unpow-prod-down`
8×	`pow1` `associate-*l/`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
4×	`flip3--` `associate-r` `frac-add` `flip--`
3×	`pow-unpow` `associate-l` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

4.0ms	(* x (log y))
17.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (pow c 1/3))))
1.0ms	(cbrt c)
2.0ms	(pow c 1/3)

series100.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (log y))
51.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (pow c 1/3))))
22.0ms	(cbrt c)
20.0ms	(pow c 1/3)

simplify49.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4910	1016
1	4910	1016

prune215.0ms

Filtered

92 candidates to 120 candidates (-30.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	120	8	128

Merged error: 0.0b

Counts

128 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.4b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
11.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series86.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (log (cbrt y)))
21.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
21.0ms	(cbrt y)
24.0ms	(cbrt y)

simplify67.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4881	844
1	4881	844

prune130.0ms

Filtered

87 candidates to 114 candidates (-31.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	113	9	122

Merged error: 0.0b

Counts

122 → 9

regimes1.4s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	36
1	51	36

end0.0ms

sample2.2s

Algorithm

intervals

Results

697.0ms	9632×	body	80	nan
635.0ms	7997×	body	80	valid
94.0ms	1195×	body	80	invalid
1.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

Details

analyze1.3s

sample81.0ms

simplify25.0ms

prune12.0ms

localize21.0ms

rewrite34.0ms

series95.0ms

simplify29.0ms

prune190.0ms

localize24.0ms

rewrite26.0ms

series89.0ms

simplify26.0ms

prune200.0ms

localize31.0ms

rewrite29.0ms

series100.0ms

simplify49.0ms

prune215.0ms

localize23.0ms

rewrite23.0ms

series86.0ms

simplify67.0ms

prune130.0ms

regimes1.4s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.2s

Profiling