Details

analyze847.0ms

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

sample98.0ms

Algorithm

intervals

Results

26.0ms	305×	body	80	nan
18.0ms	235×	body	80	valid
11.0ms	152×	body	80	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	7×	body	160	invalid
1.0ms	1×	body	1280	invalid
1.0ms	1×	body	1280	valid
1.0ms	4×	body	160	valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4997	17
1	4997	17

prune16.0ms

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

localize15.0ms

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:

12.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
12.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
7.0ms	(* y (- (log z) t))
5.0ms	(log (- 1.0 z))

series123.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
68.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
14.0ms	(* y (- (log z) t))
3.0ms	(log (- 1.0 z))

simplify45.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5049	1672

prune188.0ms

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))

rewrite67.0ms

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:

17.0ms	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))
18.0ms	(* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b))
21.0ms	(* 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))

series198.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))
18.0ms	(* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b))
87.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))))
14.0ms	(* y (- (log z) t))

simplify51.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5024	2782

prune230.0ms

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

localize23.0ms

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)

rewrite58.0ms

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:

16.0ms	(* 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)))
23.0ms	(* (pow (/ z (exp t)) y) (/ (pow 1.0 a) (exp (+ (* a b) (* z (+ (* a 1.0) (* (* a 0.5) z)))))))
5.0ms	(pow (/ z (exp t)) y)

series256.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* x (* (pow (/ z (exp t)) y) (/ (pow 1.0 a) (exp (+ (* a b) (* z (+ (* a 1.0) (* (* a 0.5) z))))))))
8.0ms	(* z (+ (* a 1.0) (* (* a 0.5) z)))
95.0ms	(* (pow (/ z (exp t)) y) (/ (pow 1.0 a) (exp (+ (* a b) (* z (+ (* a 1.0) (* (* a 0.5) z)))))))
27.0ms	(pow (/ z (exp t)) y)

simplify70.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4979	4381
1	4979	4381

prune325.0ms

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

localize20.0ms

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)

rewrite32.0ms

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)))
14.0ms	(/ (* (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)

series193.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ z (exp t))
8.0ms	(* z (+ (* a 1.0) (* (* a 0.5) z)))
152.0ms	(/ (* (pow (/ z (exp t)) y) (* (pow 1.0 a) x)) (exp (+ (* a b) (* z (+ (* a 1.0) (* (* a 0.5) z))))))
24.0ms	(pow (/ z (exp t)) y)

simplify50.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4985	2011
1	4985	2011

prune209.0ms

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

regimes439.0ms

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

sample3.0s

Algorithm

intervals

Results

800.0ms	10507×	body	80	nan
559.0ms	7223×	body	80	valid
417.0ms	5238×	body	80	invalid
109.0ms	255×	body	640	valid
68.0ms	259×	body	320	valid
52.0ms	66×	body	1280	valid
45.0ms	108×	body	640	invalid
36.0ms	145×	body	320	invalid
32.0ms	197×	body	160	valid
17.0ms	96×	body	160	invalid
14.0ms	17×	body	1280	invalid

Details

analyze847.0ms

sample98.0ms

simplify38.0ms

prune16.0ms

localize15.0ms

rewrite39.0ms

series123.0ms

simplify45.0ms

prune188.0ms

localize21.0ms

rewrite67.0ms

series198.0ms

simplify51.0ms

prune230.0ms

localize23.0ms

rewrite58.0ms

series256.0ms

simplify70.0ms

prune325.0ms

localize20.0ms

rewrite32.0ms

series193.0ms

simplify50.0ms

prune209.0ms

regimes439.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.0s

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