Details

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

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	20×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	85	11
1	85	11

prune13.0ms

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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

7.0ms	(/ (- z t) (- a t))
16.0ms	(* y (/ (- z t) (- a t)))

series25.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(/ (- z t) (- a t))
16.0ms	(* y (/ (- z t) (- a t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5285	1165

prune100.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	105	5	110

Merged error: 0b

Counts

110 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.2b	(/ 1 (/ (- a t) (- z t)))
2.3b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
335×	`add-sqr-sqrt`
323×	`*-un-lft-identity`
157×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
35×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 327

Calls

3 calls:

8.0ms	(/ (- a t) (- z t))
11.0ms	(/ 1 (/ (- a t) (- z t)))
30.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series56.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- a t) (- z t))
16.0ms	(/ 1 (/ (- a t) (- z t)))
30.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify75.0ms

Algorithm

egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5114	4378

prune255.0ms

Filtered

193 candidates to 336 candidates (-74.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	336	0	336
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	336	5	341

Merged error: 0b

Counts

341 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
9.1b	(/ (* y (- z t)) (- a t))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-r` `associate-/r*`
4×	`pow1` `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/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 53

Calls

2 calls:

6.0ms	(* y (- z t))
8.0ms	(/ (* y (- z t)) (- a t))

series23.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* y (- z t))
16.0ms	(/ (* y (- z t)) (- a t))

simplify56.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5037	487

prune54.0ms

Filtered

39 candidates to 59 candidates (-51.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	59	5	64

Merged error: 0b

Counts

64 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

5.6b	(* y (/ (- z t) (- (* a a) (* t t))))
5.7b	(- (* a a) (* t t))
18.4b	(* (* y (/ (- z t) (- (* a a) (* t t)))) (+ a t))
21.8b	(/ (- z t) (- (* a a) (* t t)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
41×	`times-frac`
30×	`associate-r`
27×	`add-cube-cbrt`
21×	`difference-of-squares`
20×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
9×	`distribute-lft-out--`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-*r/` `add-log-exp`
5×	`associate-/l*`
4×	`flip3--` `associate-l` `pow-prod-down` `associate-/r*` `associate-/r/` `flip--`
3×	`cbrt-undiv` `div-exp`
2×	`frac-times` `flip3-+` `*-commutative` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `associate-*l/` `clear-num` `distribute-lft-out`

Counts

4 → 131

Calls

4 calls:

12.0ms	(* y (/ (- z t) (- (* a a) (* t t))))
3.0ms	(- (* a a) (* t t))
13.0ms	(* (* y (/ (- z t) (- (* a a) (* t t)))) (+ a t))
7.0ms	(/ (- z t) (- (* a a) (* t t)))

series91.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* y (/ (- z t) (- (* a a) (* t t))))
6.0ms	(- (* a a) (* t t))
41.0ms	(* (* y (/ (- z t) (- (* a a) (* t t)))) (+ a t))
15.0ms	(/ (- z t) (- (* a a) (* t t)))

simplify58.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4982	2099
1	4982	2099

prune112.0ms

Filtered

103 candidates to 143 candidates (-38.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	143	5	148

Merged error: 0b

Counts

148 → 5

regimes494.0ms

Accuracy

65.5% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.5b

bsearch1.4s

Steps

Iters	Range		Point
9	1.5531755852697975e-24	2.080214643033449e-18	1.8131324260760863e-24
4	-2.697492111985396e+46	-1.60490164118731e+46	-1.7432832925888972e+46

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	31
1	26	31

end0.0ms

analyze853.0ms

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

sample571.0ms

Algorithm

intervals

Results

287.0ms	7997×	body	80	valid
28.0ms	732×	body	80	invalid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	160	valid

Details

analyze1.1s

sample22.0ms

simplify5.0ms

prune13.0ms

localize8.0ms

rewrite28.0ms

series25.0ms

simplify57.0ms

prune100.0ms

localize10.0ms

rewrite69.0ms

series56.0ms

simplify75.0ms

prune255.0ms

localize8.0ms

rewrite15.0ms

series23.0ms

simplify56.0ms

prune54.0ms

localize15.0ms

rewrite41.0ms

series91.0ms

simplify58.0ms

prune112.0ms

regimes494.0ms

bsearch1.4s

simplify1.0ms

end0.0ms

analyze853.0ms

sample571.0ms

Profiling