Details

analyze911.0ms

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
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.6%	0.2%	14

sample24.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	24×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	85	11
1	85	11

prune12.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.3b	(* y (/ (- z t) (- a t)))

rewrite31.0ms

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:

3.0ms	(+ x (* y (/ (- z t) (- a t))))
8.0ms	(/ (- z t) (- a t))
13.0ms	(* y (/ (- z t) (- a t)))

series52.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (* y (/ (- z t) (- a t))))
10.0ms	(/ (- z t) (- a t))
16.0ms	(* y (/ (- z t) (- a t)))

simplify66.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4988	1368
1	4988	1368

prune130.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	115	7	122
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	117	7	124

Merged error: 0b

Counts

124 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (- (/ z (- a t)) (/ t (- a t)))))
0.0b	(/ z (- a t))
0.0b	(/ t (- a t))
2.3b	(* y (- (/ z (- a t)) (/ t (- a t))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

8.0ms	(+ x (* y (- (/ z (- a t)) (/ t (- a t)))))
5.0ms	(/ z (- a t))
5.0ms	(/ t (- a t))
30.0ms	(* y (- (/ z (- a t)) (/ t (- a t))))

series70.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ x (* y (- (/ z (- a t)) (/ t (- a t)))))
7.0ms	(/ z (- a t))
5.0ms	(/ t (- a t))
23.0ms	(* y (- (/ z (- a t)) (/ t (- a t))))

simplify54.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5122	1445

prune135.0ms

Filtered

101 candidates to 138 candidates (-36.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	139	6	145

Merged error: 0b

Counts

145 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ y (- a t)) (- z t)))
0.0b	(/ y (- a t))
10.6b	(* (/ y (- a t)) (- z t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 98

Calls

3 calls:

3.0ms	(+ x (* (/ y (- a t)) (- z t)))
5.0ms	(/ y (- a t))
11.0ms	(* (/ y (- a t)) (- z t))

series68.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ x (* (/ y (- a t)) (- z t)))
7.0ms	(/ y (- a t))
28.0ms	(* (/ y (- a t)) (- z t))

simplify54.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5144	1110

prune101.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	107	6	113

Merged error: 0b

Counts

113 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.0b	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- a t)) (cbrt y)))
1.6b	(* (/ (- z t) (- a t)) (cbrt y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`associate-l`
30×	`add-exp-log`
27×	`times-frac`
19×	`add-cube-cbrt`
18×	`pow1` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
11×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow-prod-down`
7×	`associate-r`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp`
2×	`pow1/3` `associate-l/` `associate-/r/` `-commutative`
1×	`flip3--` `associate-*r/` `flip--` `div-inv`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
17.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- a t)) (cbrt y)))
13.0ms	(* (/ (- z t) (- a t)) (cbrt y))

series103.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
25.0ms	(cbrt y)
19.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- a t)) (cbrt y)))
37.0ms	(* (/ (- z t) (- a t)) (cbrt y))

simplify43.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5557	1040

prune85.0ms

Filtered

74 candidates to 116 candidates (-56.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	116	6	122

Merged error: 0b

Counts

122 → 6

regimes370.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	13	15

end0.0ms

analyze1.1s

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
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.6%	0.2%	14

sample598.0ms

Algorithm

intervals

Results

303.0ms	7998×	body	80	valid
27.0ms	774×	body	80	invalid
0.0ms	2×	body	1280	valid

Details

analyze911.0ms

sample24.0ms

simplify5.0ms

prune12.0ms

localize8.0ms

rewrite31.0ms

series52.0ms

simplify66.0ms

prune130.0ms

localize9.0ms

rewrite52.0ms

series70.0ms

simplify54.0ms

prune135.0ms

localize8.0ms

rewrite23.0ms

series68.0ms

simplify54.0ms

prune101.0ms

localize12.0ms

rewrite37.0ms

series103.0ms

simplify43.0ms

prune85.0ms

regimes370.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.1s

sample598.0ms

Profiling