Details

analyze1.4s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
1.1%	98.6%	0.3%	12
1.9%	97.8%	0.3%	13
7%	92.7%	0.3%	14

sample26.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5284	21

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 26.7b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- a b))
1.2b	(+ (* t a) (* y (- a b)))
3.3b	(+ (* (+ x y) z) (+ (* t a) (* y (- a b))))
24.9b	(/ (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))) (+ x (+ y t)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

6.0ms	(* y (- a b))
4.0ms	(+ (* t a) (* y (- a b)))
13.0ms	(+ (* (+ x y) z) (+ (* t a) (* y (- a b))))
15.0ms	(/ (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))) (+ x (+ y t)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* y (- a b))
9.0ms	(+ (* t a) (* y (- a b)))
29.0ms	(+ (* (+ x y) z) (+ (* t a) (* y (- a b))))
139.0ms	(/ (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))) (+ x (+ y t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5197	2234

prune143.0ms

Filtered

79 candidates to 109 candidates (-38.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	101	8	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	9	110

Merged error: 6.5b

Counts

110 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ x (+ y t)) (+ (* (+ x y) z) (+ (* t a) (* y (- a b))))))
1.2b	(+ (* t a) (* y (- a b)))
3.3b	(+ (* (+ x y) z) (+ (* t a) (* y (- a b))))
25.0b	(/ (+ x (+ y t)) (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

156×	`*-un-lft-identity`
150×	`times-frac`
76×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
32×	`flip3-+` `flip-+`
31×	`associate-/r/`
28×	`associate-/r*`
24×	`associate-*l/` `frac-add`
17×	`add-exp-log`
11×	`add-cbrt-cube` `add-log-exp`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`pow1`
4×	`cbrt-undiv` `sum-log`
3×	`associate-+r+`
2×	`+-commutative` `sub-neg` `rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `inv-pow`

Counts

4 → 197

Calls

4 calls:

21.0ms	(/ 1 (/ (+ x (+ y t)) (+ (* (+ x y) z) (+ (* t a) (* y (- a b))))))
4.0ms	(+ (* t a) (* y (- a b)))
9.0ms	(+ (* (+ x y) z) (+ (* t a) (* y (- a b))))
15.0ms	(/ (+ x (+ y t)) (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))

series205.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(/ 1 (/ (+ x (+ y t)) (+ (* (+ x y) z) (+ (* t a) (* y (- a b))))))
13.0ms	(+ (* t a) (* y (- a b)))
28.0ms	(+ (* (+ x y) z) (+ (* t a) (* y (- a b))))
34.0ms	(/ (+ x (+ y t)) (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))

simplify79.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5170	7210

prune190.0ms

Filtered

123 candidates to 209 candidates (-69.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	208	1	209
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	209	9	218

Merged error: 6.5b

Counts

218 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ 1 (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))
1.2b	(+ (* t a) (* y (- a b)))
3.3b	(+ (* (+ x y) z) (+ (* t a) (* y (- a b))))
23.9b	(/ (/ 1 (+ x (+ y t))) (/ 1 (+ (* (+ x y) z) (+ (* t a) (* y (- a b))))))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

906×	`times-frac`
646×	`*-un-lft-identity`
346×	`add-sqr-sqrt` `add-cube-cbrt`
180×	`distribute-lft-out`
179×	`associate-/r/`
141×	`flip3-+` `flip-+`
96×	`associate-*l/` `frac-add`
48×	`add-exp-log`
44×	`div-inv`
34×	`div-exp`
24×	`associate-/l*`
22×	`associate-/r*`
18×	`add-cbrt-cube`
11×	`add-log-exp`
9×	`cbrt-undiv` `rec-exp` `1-exp`
5×	`pow1`
4×	`sum-log`
3×	`associate-+r+`
2×	`+-commutative` `sub-neg` `frac-2neg` `clear-num`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `associate-/l/` `inv-pow`

Counts

4 → 538

Calls

4 calls:

11.0ms	(/ 1 (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))
4.0ms	(+ (* t a) (* y (- a b)))
9.0ms	(+ (* (+ x y) z) (+ (* t a) (* y (- a b))))
31.0ms	(/ (/ 1 (+ x (+ y t))) (/ 1 (+ (* (+ x y) z) (+ (* t a) (* y (- a b))))))

series198.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ 1 (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))
9.0ms	(+ (* t a) (* y (- a b)))
30.0ms	(+ (* (+ x y) z) (+ (* t a) (* y (- a b))))
132.0ms	(/ (/ 1 (+ x (+ y t))) (/ 1 (+ (* (+ x y) z) (+ (* t a) (* y (- a b))))))

simplify150.0ms

Algorithm

egg-herbie

Counts

550 → 550

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5035	27424

prune471.0ms

Filtered

236 candidates to 550 candidates (-133.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	548	2	550
Fresh	2	4	6
Picked	0	1	1
Done	0	2	2
Total	550	9	559

Merged error: 6.5b

Counts

559 → 9

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	3	3
Total	9	9

Merged error: 6.5b

Counts

9 → 9

regimes692.0ms

Accuracy

14.4% (15.2b remaining)

Error of 23.4b against oracle of 8.2b and baseline of 26.0b

bsearch43.0ms

Steps

Iters	Range		Point
8	2.7226279985377376e+261	9.751749927771512e+263	2.755501149415783e+261
9	-4.58970180018928e+138	-2.049458465710859e+131	-1.1293488291686183e+138

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	31
1	43	31

end0.0ms

sample691.0ms

Algorithm

intervals

Results

431.0ms	7997×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

analyze1.4s

sample26.0ms

simplify57.0ms

prune11.0ms

localize14.0ms

rewrite42.0ms

series183.0ms

simplify45.0ms

prune143.0ms

localize15.0ms

rewrite59.0ms

series205.0ms

simplify79.0ms

prune190.0ms

localize16.0ms

rewrite102.0ms

series198.0ms

simplify150.0ms

prune471.0ms

localize1.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune0.0ms

regimes692.0ms

bsearch43.0ms

simplify1.0ms

end0.0ms

sample691.0ms

Profiling