Details

analyze842.0ms

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

sample102.0ms

Algorithm

intervals

Results

23.0ms	293×	body	80	nan
18.0ms	221×	body	80	valid
12.0ms	156×	body	80	invalid
5.0ms	12×	body	640	valid
3.0ms	12×	body	320	valid
2.0ms	10×	body	160	valid
1.0ms	1×	body	1280	valid
1.0ms	1×	body	1280	invalid
1.0ms	4×	body	320	invalid
1.0ms	2×	body	640	invalid
0.0ms	3×	body	160	invalid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

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: 2.8b

Counts

2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.2b	(* y (- (log z) t))
0.8b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.5b	(log (- 1.0 z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

9.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
7.0ms	(* y (- (log z) t))
12.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

series111.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
14.0ms	(* y (- (log z) t))
42.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

simplify43.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4966	1523
1	4966	1523

prune182.0ms

Filtered

85 candidates to 107 candidates (-25.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	106	3	109

Merged error: 0.0b

Counts

109 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))))
0.0b	(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))
0.8b	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

22.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))))
17.0ms	(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))
21.0ms	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))

series221.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))))
58.0ms	(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))
56.0ms	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))

simplify63.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4974	2587
1	4974	2587

prune228.0ms

Filtered

81 candidates to 102 candidates (-25.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	99	6	105

Merged error: 0b

Counts

105 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (- (log z) t))
0.2b	(* y (- (log z) t))
0.8b	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* (/ z 1.0) (* (/ z 1.0) -1/2)) (+ (* z 1.0) b)))))
0.8b	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* (/ z 1.0) (* (/ z 1.0) -1/2)) (+ (* z 1.0) b)))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

7.0ms	(* y (- (log z) t))
7.0ms	(* y (- (log z) t))
9.0ms	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* (/ z 1.0) (* (/ z 1.0) -1/2)) (+ (* z 1.0) b)))))
11.0ms	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* (/ z 1.0) (* (/ z 1.0) -1/2)) (+ (* z 1.0) b)))))

series131.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* y (- (log z) t))
14.0ms	(* y (- (log z) t))
53.0ms	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* (/ z 1.0) (* (/ z 1.0) -1/2)) (+ (* z 1.0) b)))))
50.0ms	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* (/ z 1.0) (* (/ z 1.0) -1/2)) (+ (* z 1.0) b)))))

simplify60.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5059	2842

prune404.0ms

Filtered

94 candidates to 124 candidates (-31.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	124	6	130

Merged error: 0b

Counts

130 → 6

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
0.8b	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* (/ z 1.0) (* (/ z 1.0) -1/2)) (+ (* z 1.0) b)))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-+l+` `associate-*r/`
6×	`log-prod` `associate--l+` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-exp-log` `frac-add` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`sub-neg` `associate-+r+` `flip3--` `flip--`
1×	`+-commutative` `sum-log`

Counts

4 → 58

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
10.0ms	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* (/ z 1.0) (* (/ z 1.0) -1/2)) (+ (* z 1.0) b)))))

series120.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt x)
22.0ms	(cbrt x)
22.0ms	(cbrt x)
54.0ms	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* (/ z 1.0) (* (/ z 1.0) -1/2)) (+ (* z 1.0) b)))))

simplify227.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4944	1322
1	4944	1322

prune132.0ms

Filtered

56 candidates to 70 candidates (-25.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	70	6	76

Merged error: 0b

Counts

76 → 6

regimes557.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b 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

808.0ms	10267×	body	80	nan
579.0ms	7256×	body	80	valid
407.0ms	5129×	body	80	invalid
104.0ms	249×	body	640	valid
72.0ms	272×	body	320	valid
51.0ms	118×	body	640	invalid
44.0ms	53×	body	1280	valid
32.0ms	124×	body	320	invalid
28.0ms	170×	body	160	valid
15.0ms	94×	body	160	invalid
13.0ms	18×	body	1280	invalid

Details

analyze842.0ms

sample102.0ms

simplify45.0ms

prune17.0ms

localize16.0ms

rewrite35.0ms

series111.0ms

simplify43.0ms

prune182.0ms

localize20.0ms

rewrite70.0ms

series221.0ms

simplify63.0ms

prune228.0ms

localize23.0ms

rewrite39.0ms

series131.0ms

simplify60.0ms

prune404.0ms

localize25.0ms

rewrite14.0ms

series120.0ms

simplify227.0ms

prune132.0ms

regimes557.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.0s

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