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
0%	99.7%	0.3%	12
1.7%	98%	0.3%	13
2.5%	97.2%	0.3%	14

sample45.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
8.0ms	144×	body	80	invalid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4977	21
1	4977	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	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z (- 1.0 y)) (* a (- 1.0 t)))
0.0b	(* (+ y (- t 2.0)) b)
0.0b	(* z (- 1.0 y))
0.0b	(+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-*r/`
24×	`frac-add`
15×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `associate-*l/`
13×	`flip3--` `flip--`
11×	`flip3-+` `flip-+` `add-log-exp`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `associate-l` `add-cbrt-cube`
6×	`sub-neg`
4×	`sum-log`
3×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`difference-of-squares`

Counts

4 → 90

Calls

4 calls:

8.0ms	(+ (* z (- 1.0 y)) (* a (- 1.0 t)))
8.0ms	(* (+ y (- t 2.0)) b)
8.0ms	(* z (- 1.0 y))
14.0ms	(+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t))))

series59.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ (* z (- 1.0 y)) (* a (- 1.0 t)))
6.0ms	(* (+ y (- t 2.0)) b)
5.0ms	(* z (- 1.0 y))
32.0ms	(+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t))))

simplify42.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5993	2271

prune191.0ms

Filtered

77 candidates to 102 candidates (-32.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	98	4	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t))))) (cbrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t))))))
0.5b	(cbrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t)))))
0.5b	(cbrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t)))))
0.5b	(cbrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t)))))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

660×	`frac-add`
542×	`associate-*r/`
462×	`cbrt-div`
410×	`associate-*l/`
297×	`flip3-+` `flip-+`
264×	`flip3--` `flip--`
196×	`frac-times`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 339

Calls

4 calls:

41.0ms	(* (cbrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t))))) (cbrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t))))))
14.0ms	(cbrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t)))))
14.0ms	(cbrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t)))))
14.0ms	(cbrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t)))))

series3.1s

Counts

4 → 12

Calls

4 calls:

2.2s	(* (cbrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t))))) (cbrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t))))))
299.0ms	(cbrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t)))))
313.0ms	(cbrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t)))))
301.0ms	(cbrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t)))))

simplify281.0ms

Algorithm

egg-herbie

Counts

351 → 351

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4941	44785
1	4941	44785

prune3.4s

Filtered

230 candidates to 351 candidates (-52.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	351	0	351
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	351	5	356

Merged error: 0.0b

Counts

356 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t))))
0.0b	(sqrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t)))))
0.0b	(sqrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t)))))
0.2b	(* (sqrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t))))) (sqrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t))))))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

660×	`frac-add`
542×	`associate-*r/`
448×	`sqrt-div`
410×	`associate-*l/`
297×	`flip3-+` `flip-+`
264×	`flip3--` `flip--`
196×	`frac-times`
28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square`
1×	`+-commutative` `pow2` `associate-+r+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 352

Calls

4 calls:

15.0ms	(+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t))))
15.0ms	(sqrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t)))))
15.0ms	(sqrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t)))))
42.0ms	(* (sqrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t))))) (sqrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t))))))

series654.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t))))
292.0ms	(sqrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t)))))
294.0ms	(sqrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t)))))
33.0ms	(* (sqrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t))))) (sqrt (+ (* (+ y (- t 2.0)) b) (+ (* z (- 1.0 y)) (* a (- 1.0 t))))))

simplify236.0ms

Algorithm

egg-herbie

Counts

364 → 364

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5439	43007

prune3.1s

Filtered

219 candidates to 364 candidates (-66.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	364	0	364
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	364	5	369

Merged error: 0.0b

Counts

369 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- 1.0 y))
0.1b	(sqrt (* z (- 1.0 y)))
0.1b	(sqrt (* z (- 1.0 y)))
0.2b	(* (sqrt (* z (- 1.0 y))) (sqrt (* z (- 1.0 y))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-r` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`sub-neg` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 107

Calls

4 calls:

6.0ms	(* z (- 1.0 y))
5.0ms	(sqrt (* z (- 1.0 y)))
4.0ms	(sqrt (* z (- 1.0 y)))
13.0ms	(* (sqrt (* z (- 1.0 y))) (sqrt (* z (- 1.0 y))))

series40.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* z (- 1.0 y))
8.0ms	(sqrt (* z (- 1.0 y)))
8.0ms	(sqrt (* z (- 1.0 y)))
19.0ms	(* (sqrt (* z (- 1.0 y))) (sqrt (* z (- 1.0 y))))

simplify36.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5432	923

prune151.0ms

Filtered

68 candidates to 119 candidates (-75.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	119	5	124

Merged error: 0.0b

Counts

124 → 5

regimes494.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	21
1	51	21

end0.0ms

sample1.1s

Algorithm

intervals

Results

456.0ms	7996×	body	80	valid
251.0ms	4497×	body	80	invalid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

analyze1.4s

sample45.0ms

simplify56.0ms

prune12.0ms

localize14.0ms

rewrite41.0ms

series59.0ms

simplify42.0ms

prune191.0ms

localize21.0ms

rewrite149.0ms

series3.1s

simplify281.0ms

prune3.4s

localize17.0ms

rewrite147.0ms

series654.0ms

simplify236.0ms

prune3.1s

localize19.0ms

rewrite32.0ms

series40.0ms

simplify36.0ms

prune151.0ms

regimes494.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling