Details

analyze815.0ms

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

sample105.0ms

Algorithm

intervals

Results

29.0ms	371×	body	80	nan
21.0ms	242×	body	80	valid
15.0ms	195×	body	80	invalid
4.0ms	8×	body	640	valid
1.0ms	4×	body	640	invalid
1.0ms	5×	body	320	invalid
1.0ms	4×	body	320	valid
1.0ms	5×	body	160	invalid
0.0ms	2×	body	160	valid

simplify37.0ms

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: 1.4b

Counts

2 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.2b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.3b	(log (- 1.0 z))

rewrite38.0ms

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:

13.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
7.0ms	(* y (- (log z) t))
11.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

series119.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
13.0ms	(* y (- (log z) t))
38.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
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

prune196.0ms

Filtered

91 candidates to 113 candidates (-24.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	109	4	113
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	111	4	115

Merged error: 0.0b

Counts

115 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ z 1.0) (/ z 1.0)) -1/2)
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))
0.3b	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

9.0ms	(* (* (/ z 1.0) (/ z 1.0)) -1/2)
23.0ms	(* 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))
17.0ms	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (* (/ z 1.0) (/ z 1.0)) -1/2)
87.0ms	(* 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))
49.0ms	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))

simplify39.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5219	2431

prune259.0ms

Filtered

84 candidates to 117 candidates (-39.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	116	5	121

Merged error: 0b

Counts

121 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))) 3)
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.3b	(log (- 1.0 z))
29.8b	(cbrt (pow (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))) 3))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-*r/`
21×	`add-sqr-sqrt` `log-prod` `*-un-lft-identity`
16×	`associate--l+`
15×	`add-cube-cbrt`
13×	`flip3--` `flip--`
12×	`cube-div` `cbrt-prod` `associate-+r+` `frac-add`
10×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-+l+`
6×	`pow1` `add-exp-log` `unpow-prod-down` `cbrt-div` `cube-prod` `add-log-exp`
5×	`add-cbrt-cube`
4×	`sub-neg`
3×	`pow-unpow` `flip3-+` `flip-+` `distribute-lft-out--` `difference-of-squares`
2×	`cube-mult` `log-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `rem-log-exp` `pow-exp` `sum-log` `log-pow` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 107

Calls

4 calls:

9.0ms	(pow (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))) 3)
12.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))
8.0ms	(cbrt (pow (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))) 3))

series1.4s

Counts

4 → 12

Calls

4 calls:

1.3s	(pow (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))) 3)
38.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))
50.0ms	(cbrt (pow (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))) 3))

simplify41.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4991	2754
1	4991	2754

prune238.0ms

Filtered

90 candidates to 119 candidates (-32.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	119	5	124

Merged error: 0b

Counts

124 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

8.0ms	(* x (exp (+ (* a (log 1.0)) (* y (+ (log 1) (- (log z) t))))))
4.0ms	(- (log z) t)
5.0ms	(exp (+ (* a (log 1.0)) (* y (+ (log 1) (- (log z) t)))))
9.0ms	(* y (+ (log 1) (- (log z) t)))

series108.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* x (exp (+ (* a (log 1.0)) (* y (+ (log 1) (- (log z) t))))))
9.0ms	(- (log z) t)
28.0ms	(exp (+ (* a (log 1.0)) (* y (+ (log 1) (- (log z) t)))))
20.0ms	(* y (+ (log 1) (- (log z) t)))

simplify60.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4932	878
1	4932	878

prune133.0ms

Filtered

65 candidates to 89 candidates (-36.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	90	4	94

Merged error: 0b

Counts

94 → 4

regimes546.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

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

877.0ms	11051×	body	80	nan
584.0ms	7245×	body	80	valid
434.0ms	5484×	body	80	invalid
108.0ms	259×	body	640	valid
76.0ms	279×	body	320	valid
44.0ms	102×	body	640	invalid
36.0ms	45×	body	1280	valid
29.0ms	111×	body	320	invalid
29.0ms	172×	body	160	valid
15.0ms	91×	body	160	invalid
13.0ms	18×	body	1280	invalid

Details

analyze815.0ms

sample105.0ms

simplify37.0ms

prune16.0ms

localize15.0ms

rewrite38.0ms

series119.0ms

simplify45.0ms

prune196.0ms

localize20.0ms

rewrite59.0ms

series155.0ms

simplify39.0ms

prune259.0ms

localize18.0ms

rewrite36.0ms

series1.4s

simplify41.0ms

prune238.0ms

localize14.0ms

rewrite30.0ms

series108.0ms

simplify60.0ms

prune133.0ms

regimes546.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.0s

Profiling