Details

analyze671.0ms

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
3.1%	96.7%	0.2%	7
6.2%	93.6%	0.2%	8
8.6%	91.2%	0.2%	9
28.1%	71.7%	0.2%	10
31%	68.8%	0.2%	11
40.5%	59.3%	0.2%	12
49.6%	50.2%	0.2%	13
59%	40.8%	0.2%	14

sample22.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5153	17

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: 7.2b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* t z) x)
0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.8b	(/ (- (* y z) x) (- (* t z) x))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `div-sub` `associate-/r/` `associate-/l/`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 97

Calls

4 calls:

14.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
4.0ms	(- (* t z) x)
14.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series83.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
5.0ms	(- (* t z) x)
34.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
17.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify54.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5083	1911

prune150.0ms

Filtered

84 candidates to 109 candidates (-29.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	102	7	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	7	110

Merged error: 0.5b

Counts

110 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
2.6b	(/ x (- (* z t) x))
2.7b	(/ y (- (* z t) x))
7.1b	(* z (/ y (- (* z t) x)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 133

Calls

4 calls:

17.0ms	(/ (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
5.0ms	(/ x (- (* z t) x))
5.0ms	(/ y (- (* z t) x))
9.0ms	(* z (/ y (- (* z t) x)))

series73.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
12.0ms	(/ x (- (* z t) x))
13.0ms	(/ y (- (* z t) x))
14.0ms	(* z (/ y (- (* z t) x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5221	2386

prune153.0ms

Filtered

105 candidates to 145 candidates (-38.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	145	7	152

Merged error: 0.5b

Counts

152 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ (+ x 1.0) (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))))
2.6b	(/ x (- (* z t) x))
2.7b	(/ y (- (* z t) x))
7.1b	(* z (/ y (- (* z t) x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
44×	`times-frac`
43×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
15×	`add-exp-log` `associate-r` `add-cbrt-cube`
10×	`associate-/r` `distribute-lft-out` `associate-/l`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
3×	`flip3--` `frac-2neg` `associate-l` `clear-num` `flip--`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 132

Calls

4 calls:

17.0ms	(/ (+ x 1.0) (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))))
5.0ms	(/ x (- (* z t) x))
8.0ms	(/ y (- (* z t) x))
9.0ms	(* z (/ y (- (* z t) x)))

series71.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (+ x 1.0) (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))))
12.0ms	(/ x (- (* z t) x))
10.0ms	(/ y (- (* z t) x))
14.0ms	(* z (/ y (- (* z t) x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5032	2354

prune154.0ms

Filtered

104 candidates to 144 candidates (-38.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	144	7	151

Merged error: 0.5b

Counts

151 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (/ 1 (+ x 1.0)))
2.6b	(/ x (- (* z t) x))
2.7b	(/ y (- (* z t) x))
7.1b	(* z (/ y (- (* z t) x)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

24.0ms	(* (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (/ 1 (+ x 1.0)))
5.0ms	(/ x (- (* z t) x))
5.0ms	(/ y (- (* z t) x))
9.0ms	(* z (/ y (- (* z t) x)))

series75.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (/ 1 (+ x 1.0)))
12.0ms	(/ x (- (* z t) x))
10.0ms	(/ y (- (* z t) x))
17.0ms	(* z (/ y (- (* z t) x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5360	2341

prune138.0ms

Filtered

109 candidates to 150 candidates (-37.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	150	7	157

Merged error: 0.5b

Counts

157 → 7

regimes316.0ms

Accuracy

23.6% (3.3b remaining)

Error of 3.6b against oracle of 0.3b and baseline of 4.6b

bsearch39.0ms

Steps

Iters	Range		Point
11	2.4457115975979546e+57	8.697819894396873e+76	6.859199814445201e+71
8	-2.499130969721354e+69	-2.6804786543227464e+66	-2.399470696119765e+69

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	37
1	45	37

end0.0ms

sample586.0ms

Algorithm

intervals

Results

368.0ms	8000×	body	80	valid
13.0ms	310×	body	80	invalid

Details

analyze671.0ms

sample22.0ms

simplify42.0ms

prune7.0ms

localize11.0ms

rewrite43.0ms

series83.0ms

simplify54.0ms

prune150.0ms

localize12.0ms

rewrite41.0ms

series73.0ms

simplify47.0ms

prune153.0ms

localize13.0ms

rewrite43.0ms

series71.0ms

simplify60.0ms

prune154.0ms

localize13.0ms

rewrite48.0ms

series75.0ms

simplify50.0ms

prune138.0ms

regimes316.0ms

bsearch39.0ms

simplify1.0ms

end0.0ms

sample586.0ms

Profiling