Details

analyze2.2s

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
3.1%	96.5%	0.3%	9
4.7%	95%	0.3%	10
4.7%	95%	0.3%	11
5.1%	82.1%	12.8%	12
6.2%	74.7%	19%	13
6.4%	74.5%	19%	14

sample61.0ms

Algorithm

intervals

Results

24.0ms	256×	body	80	valid
13.0ms	145×	body	80	nan

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	17
1	106	17
2	374	17
3	1652	17
4	5001	17

prune7.0ms

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: 5.2b

Counts

2 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.2b	(/ 2.0 (* t 3.0))
2.8b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.2b	(/ (* z (sqrt (+ t a))) t)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

7.0ms	(* z (sqrt (+ t a)))
5.0ms	(/ 2.0 (* t 3.0))
13.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.0ms	(/ (* z (sqrt (+ t a))) t)

series88.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* z (sqrt (+ t a)))
2.0ms	(/ 2.0 (* t 3.0))
55.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
18.0ms	(/ (* z (sqrt (+ t a))) t)

simplify39.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1012	1260
1	5001	1212

prune240.0ms

Filtered

88 candidates to 113 candidates (-28.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	111	3	114

Merged error: 0.7b

Counts

114 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.0b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
2.8b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
60×	`frac-sub`
58×	`times-frac`
47×	`*-un-lft-identity`
46×	`associate-r`
39×	`frac-times`
35×	`add-cube-cbrt`
31×	`cbrt-prod`
28×	`sqrt-prod`
27×	`associate-*r/`
25×	`add-exp-log` `flip3--` `flip--`
21×	`associate-*l/`
18×	`add-cbrt-cube`
10×	`unswap-sqr`
9×	`flip3-+` `flip-+`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out` `associate--r+` `add-log-exp`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`pow1/3` `associate--l+` `div-inv`
1×	`diff-log` `pow-prod-down` `*-commutative`

Counts

4 → 169

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
25.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
19.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series124.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt t)
22.0ms	(cbrt t)
25.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
56.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify75.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1754	3649
1	5002	3540

prune473.0ms

Filtered

144 candidates to 181 candidates (-25.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	181	3	184

Merged error: 0.7b

Counts

184 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
0.0b	(/ x (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))))
0.0b	(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
1.7b	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`exp-sum`
11×	`add-log-exp`
9×	`times-frac` `associate-r`
8×	`add-cbrt-cube`
7×	`add-exp-log`
6×	`pow1` `distribute-rgt-in` `distribute-lft-in`
5×	`sub-neg` `associate--l+`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`diff-log` `associate-/r/`
1×	`cbrt-undiv` `exp-prod` `flip3--` `exp-to-pow` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `div-inv` `rem-exp-log` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

9.0ms	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
4.0ms	(/ x (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))))
5.0ms	(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
6.0ms	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

series119.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
70.0ms	(/ x (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))))
14.0ms	(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
8.0ms	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

simplify115.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	334	1006
1	1190	922
2	4391	901
3	5001	897

prune160.0ms

Filtered

66 candidates to 95 candidates (-43.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	94	4	98

Merged error: 0.2b

Counts

98 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))) x)
0.0b	(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
0.2b	(/ 1 (/ (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))) x))
1.7b	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube` `add-log-exp`
8×	`div-exp`
6×	`exp-sum` `div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate--l+`
2×	`rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `associate-/l/`
1×	`exp-prod` `flip3--` `exp-to-pow` `pow-flip` `flip3-+` `sum-log` `associate-/r/` `flip--` `flip-+` `rem-exp-log` `inv-pow`

Counts

4 → 135

Calls

4 calls:

5.0ms	(/ (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))) x)
7.0ms	(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
8.0ms	(/ 1 (/ (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))) x))
7.0ms	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

series116.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))) x)
16.0ms	(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
48.0ms	(/ 1 (/ (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))) x))
9.0ms	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

simplify82.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	524	2286
1	2169	2093
2	5002	2009

prune178.0ms

Filtered

81 candidates to 147 candidates (-81.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	147	4	151

Merged error: 0.2b

Counts

151 → 4

regimes804.0ms

Accuracy

0% (2.4b remaining)

Error of 2.8b against oracle of 0.4b and baseline of 2.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	22
1	39	22

end0.0ms

analyze1.8s

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
3.1%	96.5%	0.3%	9
4.7%	95%	0.3%	10
4.7%	95%	0.3%	11
5.1%	82.1%	12.8%	12
6.2%	74.7%	19%	13
6.4%	74.5%	19%	14

sample1.8s

Algorithm

intervals

Results

806.0ms	8000×	body	80	valid
475.0ms	5008×	body	80	nan

Details

analyze2.2s

sample61.0ms

simplify43.0ms

prune7.0ms

localize29.0ms

rewrite35.0ms

series88.0ms

simplify39.0ms

prune240.0ms

localize26.0ms

rewrite57.0ms

series124.0ms

simplify75.0ms

prune473.0ms

localize16.0ms

rewrite27.0ms

series119.0ms

simplify115.0ms

prune160.0ms

localize16.0ms

rewrite33.0ms

series116.0ms

simplify82.0ms

prune178.0ms

regimes804.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze1.8s

sample1.8s

Profiling