Details

analyze836.0ms

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%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

sample104.0ms

Algorithm

intervals

Results

24.0ms	305×	body	80	nan
19.0ms	235×	body	80	valid
12.0ms	152×	body	80	invalid
4.0ms	7×	body	160	invalid
4.0ms	8×	body	640	valid
2.0ms	8×	body	320	valid
2.0ms	6×	body	320	invalid
1.0ms	3×	body	640	invalid
1.0ms	1×	body	1280	invalid
1.0ms	1×	body	1280	valid
1.0ms	4×	body	160	valid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4997	17
1	4997	17

prune17.0ms

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: 0.9b

Counts

2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.2b	(* y (- (log z) t))
4.7b	(log (- 1.0 z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

14.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
11.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
7.0ms	(* y (- (log z) t))
3.0ms	(log (- 1.0 z))

series122.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
68.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
13.0ms	(* y (- (log z) t))
3.0ms	(log (- 1.0 z))

simplify46.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5049	1672

prune189.0ms

Filtered

91 candidates to 113 candidates (-24.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	114	1	115

Merged error: 0.0b

Counts

115 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))
0.0b	(* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b))
0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))))
0.2b	(* y (- (log z) t))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

19.0ms	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))
15.0ms	(* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b))
20.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))))
7.0ms	(* y (- (log z) t))

series163.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))
17.0ms	(* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b))
84.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))))
13.0ms	(* y (- (log z) t))

simplify50.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5024	2782

prune235.0ms

Filtered

89 candidates to 117 candidates (-31.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	3	118

Merged error: 0.0b

Counts

118 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (* (pow (/ z (exp t)) y) (/ (pow 1.0 a) (exp (+ (* a b) (* z (+ (* a 1.0) (* (* a 0.5) z))))))))
0.0b	(* z (+ (* a 1.0) (* (* a 0.5) z)))
0.4b	(* (pow (/ z (exp t)) y) (/ (pow 1.0 a) (exp (+ (* a b) (* z (+ (* a 1.0) (* (* a 0.5) z)))))))
1.0b	(pow (/ z (exp t)) y)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
74×	`add-exp-log`
62×	`times-frac`
50×	`unpow-prod-down` `prod-exp`
39×	`add-cube-cbrt` `*-un-lft-identity`
36×	`associate-r`
33×	`div-exp`
26×	`pow-exp`
23×	`associate-l`
20×	`add-cbrt-cube`
17×	`pow-to-exp` `unswap-sqr`
14×	`sqr-pow`
9×	`pow1`
8×	`cbrt-unprod`
7×	`exp-sum`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`pow-unpow` `*-commutative` `div-inv`
2×	`cbrt-undiv` `pow-prod-down`
1×	`distribute-rgt-in` `pow-pow` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 176

Calls

4 calls:

15.0ms	(* x (* (pow (/ z (exp t)) y) (/ (pow 1.0 a) (exp (+ (* a b) (* z (+ (* a 1.0) (* (* a 0.5) z))))))))
6.0ms	(* z (+ (* a 1.0) (* (* a 0.5) z)))
22.0ms	(* (pow (/ z (exp t)) y) (/ (pow 1.0 a) (exp (+ (* a b) (* z (+ (* a 1.0) (* (* a 0.5) z)))))))
7.0ms	(pow (/ z (exp t)) y)

series246.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* x (* (pow (/ z (exp t)) y) (/ (pow 1.0 a) (exp (+ (* a b) (* z (+ (* a 1.0) (* (* a 0.5) z))))))))
9.0ms	(* z (+ (* a 1.0) (* (* a 0.5) z)))
93.0ms	(* (pow (/ z (exp t)) y) (/ (pow 1.0 a) (exp (+ (* a b) (* z (+ (* a 1.0) (* (* a 0.5) z)))))))
21.0ms	(pow (/ z (exp t)) y)

simplify66.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4979	4381
1	4979	4381

prune326.0ms

Filtered

129 candidates to 188 candidates (-45.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	186	2	188
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	188	3	191

Merged error: 0.0b

Counts

191 → 3

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (exp t))
0.0b	(* z (+ (* a 1.0) (* (* a 0.5) z)))
0.5b	(/ (* (pow (/ z (exp t)) y) (* (pow 1.0 a) x)) (exp (+ (* a b) (* z (+ (* a 1.0) (* (* a 0.5) z))))))
1.0b	(pow (/ z (exp t)) y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
29×	`prod-exp`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
23×	`div-exp`
22×	`times-frac`
17×	`add-cbrt-cube`
14×	`pow-exp`
13×	`unpow-prod-down`
9×	`pow-to-exp`
7×	`pow1` `associate-/r*`
4×	`cbrt-undiv` `cbrt-unprod` `associate-/l*` `add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l` `div-inv`
2×	`frac-2neg` `associate-*r/` `exp-sum` `clear-num`
1×	`distribute-rgt-in` `pow-pow` `distribute-lft-in` `flip3-+` `pow-prod-down` `*-commutative` `flip-+` `unswap-sqr` `sqr-pow`

Counts

4 → 116

Calls

4 calls:

4.0ms	(/ z (exp t))
6.0ms	(* z (+ (* a 1.0) (* (* a 0.5) z)))
13.0ms	(/ (* (pow (/ z (exp t)) y) (* (pow 1.0 a) x)) (exp (+ (* a b) (* z (+ (* a 1.0) (* (* a 0.5) z))))))
5.0ms	(pow (/ z (exp t)) y)

series188.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ z (exp t))
8.0ms	(* z (+ (* a 1.0) (* (* a 0.5) z)))
151.0ms	(/ (* (pow (/ z (exp t)) y) (* (pow 1.0 a) x)) (exp (+ (* a b) (* z (+ (* a 1.0) (* (* a 0.5) z))))))
21.0ms	(pow (/ z (exp t)) y)

simplify53.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4985	2011
1	4985	2011

prune186.0ms

Filtered

87 candidates to 128 candidates (-47.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	128	3	131

Merged error: 0.0b

Counts

131 → 3

regimes425.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	30
1	72	30

end0.0ms

sample3.1s

Algorithm

intervals

Results

848.0ms	10507×	body	80	nan
590.0ms	7223×	body	80	valid
420.0ms	5238×	body	80	invalid
111.0ms	255×	body	640	valid
73.0ms	259×	body	320	valid
53.0ms	66×	body	1280	valid
47.0ms	108×	body	640	invalid
38.0ms	145×	body	320	invalid
33.0ms	197×	body	160	valid
16.0ms	96×	body	160	invalid
13.0ms	17×	body	1280	invalid

Details

analyze836.0ms

sample104.0ms

simplify40.0ms

prune17.0ms

localize16.0ms

rewrite39.0ms

series122.0ms

simplify46.0ms

prune189.0ms

localize21.0ms

rewrite64.0ms

series163.0ms

simplify50.0ms

prune235.0ms

localize21.0ms

rewrite57.0ms

series246.0ms

simplify66.0ms

prune326.0ms

localize23.0ms

rewrite31.0ms

series188.0ms

simplify53.0ms

prune186.0ms

regimes425.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.1s

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