Details

analyze374.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
26.5%	73.3%	0.1%	8
33.5%	66.3%	0.1%	9
49.1%	50.7%	0.1%	10
56.9%	42.9%	0.1%	11
60.8%	39%	0.1%	12
69%	30.9%	0.1%	13
72.5%	27.3%	0.1%	14

sample35.0ms

Algorithm

intervals

Results

11.0ms	74×	body	1280	valid
7.0ms	64×	body	640	valid
3.0ms	15×	body	2560	valid
2.0ms	71×	body	80	valid
2.0ms	24×	body	320	valid
0.0ms	8×	body	160	valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	522	12
1	522	12

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 44.2b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (+ (* x y) z))
8.3b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
9×	`*-un-lft-identity`
6×	`sum-log`
4×	`add-sqr-sqrt`
3×	`diff-log`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `flip--` `flip-+` `associate--r+` `difference-of-squares`

Counts

2 → 31

Calls

2 calls:

5.0ms	(+ 1.0 (+ (* x y) z))
8.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series17.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ 1.0 (+ (* x y) z))
11.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify34.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4941	495
1	4941	495

prune62.0ms

Filtered

26 candidates to 37 candidates (-42.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	31	6	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	7	38

Merged error: 43.6b

Counts

38 → 7

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (+ z (* x y)) (+ z (* x y)))
9.7b	(- (fma x y z) (/ (- (* 1.0 1.0) (* (+ z (* x y)) (+ z (* x y)))) (- 1.0 (+ z (* x y)))))
24.8b	(/ (- (* 1.0 1.0) (* (+ z (* x y)) (+ z (* x y)))) (- 1.0 (+ z (* x y))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
21×	`times-frac`
18×	`add-cube-cbrt`
13×	`difference-of-squares`
10×	`pow1`
7×	`add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `distribute-lft-out--`
5×	`associate-/r*` `add-log-exp`
4×	`frac-times` `associate-/l*`
3×	`flip3--` `swap-sqr` `associate-r` `associate-l` `flip--`
2×	`div-sub` `associate-r/` `associate-l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-plus` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `div-inv` `associate--r-` `unswap-sqr`

Counts

3 → 96

Calls

3 calls:

7.0ms	(* (+ z (* x y)) (+ z (* x y)))
14.0ms	(- (fma x y z) (/ (- (* 1.0 1.0) (* (+ z (* x y)) (+ z (* x y)))) (- 1.0 (+ z (* x y)))))
10.0ms	(/ (- (* 1.0 1.0) (* (+ z (* x y)) (+ z (* x y)))) (- 1.0 (+ z (* x y))))

series106.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(* (+ z (* x y)) (+ z (* x y)))
67.0ms	(- (fma x y z) (/ (- (* 1.0 1.0) (* (+ z (* x y)) (+ z (* x y)))) (- 1.0 (+ z (* x y)))))
28.0ms	(/ (- (* 1.0 1.0) (* (+ z (* x y)) (+ z (* x y)))) (- 1.0 (+ z (* x y))))

simplify52.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4960	1904
1	4960	1904

prune215.0ms

Filtered

76 candidates to 105 candidates (-38.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	92	13	105
Fresh	1	4	5
Picked	1	0	1
Done	1	0	1
Total	95	17	112

Merged error: 43.4b

Counts

112 → 17

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (+ z (* x y)))
0.1b	(/ 1 (/ 1 (+ 1.0 (+ z (* x y)))))
0.2b	(/ 1 (+ 1.0 (+ z (* x y))))
13.3b	(- (fma x y z) (/ 1 (/ 1 (+ 1.0 (+ z (* x y))))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

124×	`times-frac`
106×	`*-un-lft-identity`
83×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
27×	`add-exp-log`
22×	`associate-/r*`
17×	`distribute-lft-out`
16×	`div-exp`
11×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
8×	`rec-exp` `1-exp`
7×	`pow1` `div-inv` `difference-of-squares`
6×	`flip3-+` `flip-+` `associate-/l*`
5×	`pow-flip`
4×	`cbrt-undiv`
3×	`sum-log` `inv-pow`
2×	`frac-2neg` `clear-num` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `diff-log` `flip--` `remove-double-div`

Counts

4 → 176

Calls

4 calls:

5.0ms	(+ 1.0 (+ z (* x y)))
10.0ms	(/ 1 (/ 1 (+ 1.0 (+ z (* x y)))))
6.0ms	(/ 1 (+ 1.0 (+ z (* x y))))
20.0ms	(- (fma x y z) (/ 1 (/ 1 (+ 1.0 (+ z (* x y))))))

series33.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ 1.0 (+ z (* x y)))
6.0ms	(/ 1 (/ 1 (+ 1.0 (+ z (* x y)))))
11.0ms	(/ 1 (+ 1.0 (+ z (* x y))))
10.0ms	(- (fma x y z) (/ 1 (/ 1 (+ 1.0 (+ z (* x y))))))

simplify82.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4913	2530
1	4913	2530

prune249.0ms

Filtered

89 candidates to 188 candidates (-111.2%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	180	8	188
Fresh	2	14	16
Picked	0	1	1
Done	0	0	0
Total	182	23	205

Merged error: 43.3b

Counts

205 → 23

localize19.0ms

Local error

Found 4 expressions with local error:

6.9b	(cbrt (/ 1 (+ 1.0 (+ z (* x y)))))
6.9b	(cbrt (/ 1 (+ z (+ 1.0 (* x y)))))
6.9b	(cbrt (/ 1 (+ z (+ 1.0 (* x y)))))
33.8b	(- (fma x y z) (/ (/ 1 (* (cbrt (/ 1 (+ z (+ 1.0 (* x y))))) (cbrt (/ 1 (+ z (+ 1.0 (* x y))))))) (cbrt (/ 1 (+ 1.0 (+ z (* x y)))))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
63×	`cbrt-prod`
62×	`times-frac`
55×	`*-un-lft-identity`
28×	`add-cube-cbrt`
13×	`difference-of-squares`
9×	`distribute-lft-out`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`cbrt-div` `flip3-+` `pow1/3` `flip-+` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 106

Calls

4 calls:

6.0ms	(cbrt (/ 1 (+ 1.0 (+ z (* x y)))))
6.0ms	(cbrt (/ 1 (+ z (+ 1.0 (* x y)))))
6.0ms	(cbrt (/ 1 (+ z (+ 1.0 (* x y)))))
58.0ms	(- (fma x y z) (/ (/ 1 (* (cbrt (/ 1 (+ z (+ 1.0 (* x y))))) (cbrt (/ 1 (+ z (+ 1.0 (* x y))))))) (cbrt (/ 1 (+ 1.0 (+ z (* x y)))))))

series164.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt (/ 1 (+ 1.0 (+ z (* x y)))))
32.0ms	(cbrt (/ 1 (+ z (+ 1.0 (* x y)))))
31.0ms	(cbrt (/ 1 (+ z (+ 1.0 (* x y)))))
70.0ms	(- (fma x y z) (/ (/ 1 (* (cbrt (/ 1 (+ z (+ 1.0 (* x y))))) (cbrt (/ 1 (+ z (+ 1.0 (* x y))))))) (cbrt (/ 1 (+ 1.0 (+ z (* x y)))))))

simplify72.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4907	2533
1	4907	2533

prune195.0ms

Filtered

71 candidates to 118 candidates (-66.2%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	111	7	118
Fresh	4	17	21
Picked	0	1	1
Done	0	1	1
Total	115	26	141

Merged error: 43.3b

Counts

141 → 26

regimes478.0ms

Accuracy

0% (0.9b remaining)

Error of 45.1b against oracle of 44.1b and baseline of 45.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	16
1	36	16

end0.0ms

sample1.0s

Algorithm

intervals

Results

373.0ms	2574×	body	1280	valid
190.0ms	1632×	body	640	valid
111.0ms	627×	body	2560	valid
72.0ms	2124×	body	80	valid
66.0ms	713×	body	320	valid
22.0ms	330×	body	160	valid

Details

analyze374.0ms

sample35.0ms

simplify18.0ms

prune7.0ms

localize11.0ms

rewrite14.0ms

series17.0ms

simplify34.0ms

prune62.0ms

localize12.0ms

rewrite35.0ms

series106.0ms

simplify52.0ms

prune215.0ms

localize10.0ms

rewrite50.0ms

series33.0ms

simplify82.0ms

prune249.0ms

localize19.0ms

rewrite81.0ms

series164.0ms

simplify72.0ms

prune195.0ms

regimes478.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

Profiling