Details

analyze1.1s

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

sample90.0ms

Algorithm

intervals

Results

30.0ms	367×	body	80	nan
21.0ms	255×	body	80	valid
3.0ms	31×	body	80	invalid
0.0ms	1×	body	320	valid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

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

localize18.0ms

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))
0.2b	(* x (log y))

rewrite36.0ms

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)))
10.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series93.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (* x (log y)) z)
66.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
9.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

simplify30.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5182	1390

prune158.0ms

Filtered

77 candidates to 108 candidates (-40.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	4	109

Merged error: 0.0b

Counts

109 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 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)

rewrite24.0ms

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:

4.0ms	(* x (log y))
14.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(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))))
22.0ms	(cbrt c)
24.0ms	(cbrt c)

simplify28.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5291	1179

prune180.0ms

Filtered

91 candidates to 111 candidates (-22.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	110	5	115

Merged error: 0.0b

Counts

115 → 5

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (pow c 1/3)))) (* (- b 0.5) (log (cbrt c))))
0.6b	(cbrt c)
5.1b	(pow c 1/3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

46×	`log-prod`
37×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
25×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
15×	`unpow-prod-down`
12×	`associate-+r+`
9×	`cbrt-prod`
8×	`pow1` `associate-*l/`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`sqr-pow`
4×	`flip3--` `associate-r` `frac-add` `flip--`
3×	`pow-unpow` `associate-l`
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 → 110

Calls

4 calls:

6.0ms	(* x (log y))
14.0ms	(+ (* (- b 0.5) (* 2 (log (pow c 1/3)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
2.0ms	(pow c 1/3)

series97.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (log y))
49.0ms	(+ (* (- b 0.5) (* 2 (log (pow c 1/3)))) (* (- b 0.5) (log (cbrt c))))
22.0ms	(cbrt c)
20.0ms	(pow c 1/3)

simplify79.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4906	1009
1	4906	1009

prune195.0ms

Filtered

91 candidates to 122 candidates (-34.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	122	5	127

Merged error: 0.0b

Counts

127 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite21.0ms

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)))
10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series87.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (log (cbrt y)))
24.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
21.0ms	(cbrt y)
22.0ms	(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

prune137.0ms

Filtered

87 candidates to 114 candidates (-31.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	113	6	119

Merged error: 0.0b

Counts

119 → 6

regimes1.4s

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	49	33
1	49	33

end0.0ms

sample2.4s

Algorithm

intervals

Results

729.0ms	9930×	body	80	nan
690.0ms	7996×	body	80	valid
105.0ms	1207×	body	80	invalid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

analyze1.1s

sample90.0ms

simplify26.0ms

prune12.0ms

localize18.0ms

rewrite36.0ms

series93.0ms

simplify30.0ms

prune158.0ms

localize23.0ms

rewrite24.0ms

series89.0ms

simplify28.0ms

prune180.0ms

localize32.0ms

rewrite28.0ms

series97.0ms

simplify79.0ms

prune195.0ms

localize26.0ms

rewrite21.0ms

series87.0ms

simplify67.0ms

prune137.0ms

regimes1.4s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.4s

Profiling