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

sample28.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4981	21
1	4981	21

prune15.0ms

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: 25.3b

Counts

2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.0b	(+ (* (+ x y) z) (* (+ t y) a))
2.7b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
23.9b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

6.0ms	(* (+ x y) z)
8.0ms	(+ (* (+ x y) z) (* (+ t y) a))
10.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
15.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series195.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (+ x y) z)
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
29.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
142.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify51.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5039	2057

prune188.0ms

Filtered

75 candidates to 101 candidates (-34.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	90	11	101
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	92	11	103

Merged error: 4.4b

Counts

103 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.0b	(+ (* (+ x y) z) (* (+ y t) a))
8.3b	(* y (/ b (+ x (+ y t))))
21.3b	(/ (+ (* (+ x y) z) (* (+ y t) a)) (+ x (+ y t)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
31×	`times-frac`
26×	`add-cube-cbrt`
24×	`associate-r`
22×	`distribute-lft-out`
18×	`associate-*l/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
8×	`pow1` `frac-add`
7×	`associate-l`
6×	`associate-/l/` `add-log-exp`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`+-commutative` `frac-2neg` `associate-*r/` `clear-num` `sum-log`

Counts

4 → 119

Calls

4 calls:

6.0ms	(* (+ x y) z)
7.0ms	(+ (* (+ x y) z) (* (+ y t) a))
13.0ms	(* y (/ b (+ x (+ y t))))
13.0ms	(/ (+ (* (+ x y) z) (* (+ y t) a)) (+ x (+ y t)))

series99.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ x y) z)
16.0ms	(+ (* (+ x y) z) (* (+ y t) a))
19.0ms	(* y (/ b (+ x (+ y t))))
58.0ms	(/ (+ (* (+ x y) z) (* (+ y t) a)) (+ x (+ y t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4988	1993
1	4988	1993

prune201.0ms

Filtered

91 candidates to 131 candidates (-44.0%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	124	7	131
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	128	14	142

Merged error: 2.4b

Counts

142 → 14

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (+ x (+ y t))) (cbrt (+ x (+ y t))))
1.0b	(+ (* (+ x y) z) (* (+ y t) a))
4.1b	(* (/ y (* (cbrt (+ x (+ y t))) (cbrt (+ x (+ y t))))) (/ b (cbrt (+ x (+ y t)))))
21.3b	(/ (+ (* (+ x y) z) (* (+ y t) a)) (+ x (+ y t)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity`
63×	`add-sqr-sqrt`
53×	`cbrt-prod`
49×	`times-frac`
45×	`distribute-lft-out`
39×	`add-cube-cbrt`
38×	`associate-r`
29×	`add-exp-log`
26×	`cbrt-div`
24×	`flip3-+` `flip-+`
23×	`associate-l`
21×	`associate-*l/`
20×	`add-cbrt-cube`
14×	`swap-sqr`
13×	`pow1`
12×	`associate-/r/`
10×	`unswap-sqr`
9×	`frac-times` `prod-exp` `cbrt-unprod`
8×	`cbrt-undiv` `div-exp` `frac-add`
6×	`pow1/3` `associate-/l/` `add-log-exp`
5×	`associate-r/` `associate-/r`
3×	`pow-prod-down` `div-inv` `associate-/l*`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`+-commutative` `pow2` `frac-2neg` `pow-plus` `clear-num` `sum-log`

Counts

4 → 193

Calls

4 calls:

14.0ms	(* (cbrt (+ x (+ y t))) (cbrt (+ x (+ y t))))
7.0ms	(+ (* (+ x y) z) (* (+ y t) a))
34.0ms	(* (/ y (* (cbrt (+ x (+ y t))) (cbrt (+ x (+ y t))))) (/ b (cbrt (+ x (+ y t)))))
13.0ms	(/ (+ (* (+ x y) z) (* (+ y t) a)) (+ x (+ y t)))

series164.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (cbrt (+ x (+ y t))) (cbrt (+ x (+ y t))))
16.0ms	(+ (* (+ x y) z) (* (+ y t) a))
33.0ms	(* (/ y (* (cbrt (+ x (+ y t))) (cbrt (+ x (+ y t))))) (/ b (cbrt (+ x (+ y t)))))
62.0ms	(/ (+ (* (+ x y) z) (* (+ y t) a)) (+ x (+ y t)))

simplify70.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4968	3983
1	4968	3983

prune261.0ms

Filtered

136 candidates to 205 candidates (-50.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	205	14	219

Merged error: 2.4b

Counts

219 → 14

localize19.0ms

Local error

Found 4 expressions with local error:

8.3b	(* y (/ b (+ x (+ y t))))
21.9b	(cbrt (+ (* (+ x y) z) (* (+ y t) a)))
21.9b	(cbrt (+ (* (+ x y) z) (* (+ y t) a)))
21.9b	(cbrt (+ (* (+ x y) z) (* (+ y t) a)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
24×	`associate-*l/`
22×	`add-sqr-sqrt`
21×	`associate-r`
18×	`cbrt-div`
17×	`add-cube-cbrt`
16×	`flip3-+` `times-frac` `flip-+`
12×	`frac-add`
9×	`add-exp-log` `cbrt-prod` `add-cbrt-cube` `distribute-lft-out`
6×	`pow1`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`

Counts

4 → 91

Calls

4 calls:

14.0ms	(* y (/ b (+ x (+ y t))))
7.0ms	(cbrt (+ (* (+ x y) z) (* (+ y t) a)))
7.0ms	(cbrt (+ (* (+ x y) z) (* (+ y t) a)))
7.0ms	(cbrt (+ (* (+ x y) z) (* (+ y t) a)))

series306.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* y (/ b (+ x (+ y t))))
96.0ms	(cbrt (+ (* (+ x y) z) (* (+ y t) a)))
96.0ms	(cbrt (+ (* (+ x y) z) (* (+ y t) a)))
97.0ms	(cbrt (+ (* (+ x y) z) (* (+ y t) a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5064	1916

prune137.0ms

Filtered

84 candidates to 103 candidates (-22.6%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	103	14	117

Merged error: 2.4b

Counts

117 → 14

regimes948.0ms

Accuracy

17.3% (17.0b remaining)

Error of 19.9b against oracle of 2.8b and baseline of 23.4b

bsearch83.0ms

Steps

Iters	Range		Point
10	1.1474648046922961e-09	709.4685008829304	699.6801009545751
4	1.6835122846716995e-236	2.60313584544142e-236	1.814958490734998e-236
8	-5.571880644151543e-292	-4.1711358422692025e-295	-1.361176541714894e-293
8	-8.525023024408796e+95	-1.2608864020301182e+92	-2.3465238493089848e+92

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	199	133
1	199	133

end0.0ms

sample757.0ms

Algorithm

intervals

Results

463.0ms	7996×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

Details

analyze1.4s

sample28.0ms

simplify69.0ms

prune15.0ms

localize18.0ms

rewrite41.0ms

series195.0ms

simplify51.0ms

prune188.0ms

localize14.0ms

rewrite44.0ms

series99.0ms

simplify48.0ms

prune201.0ms

localize18.0ms

rewrite78.0ms

series164.0ms

simplify70.0ms

prune261.0ms

localize19.0ms

rewrite38.0ms

series306.0ms

simplify50.0ms

prune137.0ms

regimes948.0ms

bsearch83.0ms

simplify3.0ms

end0.0ms

sample757.0ms

Profiling