Details

analyze1.0s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

sample31.0ms

Algorithm

intervals

Results

15.0ms	250×	body	80	valid
1.0ms	24×	body	80	invalid
1.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	88	13
1	88	13

prune14.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
0.0b	(/ (- x y) (- z t))
0.2b	(* 60.0 (/ (- x y) (- z t)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

9.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
7.0ms	(/ (- x y) (- z t))
13.0ms	(* 60.0 (/ (- x y) (- z t)))

series63.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
12.0ms	(/ (- x y) (- z t))
18.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5604	1406

prune141.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	118	6	124

Merged error: 0.0b

Counts

124 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.0b	(* 60.0 (- x y))
0.2b	(/ (* 60.0 (- x y)) (- z t))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

10.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
6.0ms	(* 60.0 (- x y))
8.0ms	(/ (* 60.0 (- x y)) (- z t))

series52.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
6.0ms	(* 60.0 (- x y))
14.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify45.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5051	728

prune92.0ms

Filtered

50 candidates to 73 candidates (-46.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	73	6	79

Merged error: 0.0b

Counts

79 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.0b	(+ (* (* 60.0 (- x y)) (/ 1 (- z t))) (* a 120.0))
0.0b	(* 60.0 (- x y))
0.3b	(* (* 60.0 (- x y)) (/ 1 (- z t)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`add-exp-log`
30×	`times-frac`
26×	`associate-r`
25×	`add-cube-cbrt`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`associate-*r/` `cbrt-unprod`
6×	`div-exp` `add-log-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`associate-l` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*`
2×	`frac-times` `sub-neg` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `flip3-+` `clear-num` `sum-log` `un-div-inv` `flip-+` `inv-pow` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

9.0ms	(/ 1 (- z t))
19.0ms	(+ (* (* 60.0 (- x y)) (/ 1 (- z t))) (* a 120.0))
7.0ms	(* 60.0 (- x y))
13.0ms	(* (* 60.0 (- x y)) (/ 1 (- z t)))

series66.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1 (- z t))
34.0ms	(+ (* (* 60.0 (- x y)) (/ 1 (- z t))) (* a 120.0))
4.0ms	(* 60.0 (- x y))
24.0ms	(* (* 60.0 (- x y)) (/ 1 (- z t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5585	1285

prune128.0ms

Filtered

79 candidates to 138 candidates (-74.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	138	6	144

Merged error: 0.0b

Counts

144 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt 60.0) (* (/ (- x y) (- z t)) (sqrt 60.0))) (* a 120.0))
0.0b	(/ (- x y) (- z t))
0.3b	(* (sqrt 60.0) (* (/ (- x y) (- z t)) (sqrt 60.0)))
0.3b	(* (/ (- x y) (- z t)) (sqrt 60.0))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
75×	`*-un-lft-identity`
52×	`times-frac`
37×	`associate-l`
31×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
20×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
8×	`sqrt-prod`
7×	`associate-r` `prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`associate-/r` `associate-/l`
4×	`pow-prod-down` `associate-/r/` `unswap-sqr`
3×	`cbrt-undiv` `flip3--` `div-exp` `flip--`
2×	`associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-*r/` `clear-num` `sum-log` `flip-+`

Counts

4 → 142

Calls

4 calls:

12.0ms	(+ (* (sqrt 60.0) (* (/ (- x y) (- z t)) (sqrt 60.0))) (* a 120.0))
7.0ms	(/ (- x y) (- z t))
13.0ms	(* (sqrt 60.0) (* (/ (- x y) (- z t)) (sqrt 60.0)))
16.0ms	(* (/ (- x y) (- z t)) (sqrt 60.0))

series105.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (* (sqrt 60.0) (* (/ (- x y) (- z t)) (sqrt 60.0))) (* a 120.0))
12.0ms	(/ (- x y) (- z t))
27.0ms	(* (sqrt 60.0) (* (/ (- x y) (- z t)) (sqrt 60.0)))
18.0ms	(* (/ (- x y) (- z t)) (sqrt 60.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5108	1808

prune167.0ms

Filtered

101 candidates to 154 candidates (-52.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	154	6	160

Merged error: 0.0b

Counts

160 → 6

regimes1000.0ms

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	16	13
1	16	13

end0.0ms

analyze1.0s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

sample662.0ms

Algorithm

intervals

Results

342.0ms	7866×	body	80	valid
34.0ms	635×	body	80	invalid
10.0ms	53×	body	1280	valid
6.0ms	25×	body	2560	valid
5.0ms	30×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	8×	body	160	valid

Details

analyze1.0s

sample31.0ms

simplify5.0ms

prune14.0ms

localize9.0ms

rewrite34.0ms

series63.0ms

simplify52.0ms

prune141.0ms

localize9.0ms

rewrite26.0ms

series52.0ms

simplify45.0ms

prune92.0ms

localize10.0ms

rewrite56.0ms

series66.0ms

simplify49.0ms

prune128.0ms

localize11.0ms

rewrite53.0ms

series105.0ms

simplify51.0ms

prune167.0ms

regimes1000.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze1.0s

sample662.0ms

Profiling