Details

analyze802.0ms

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

28.0ms	373×	body	80	nan
17.0ms	221×	body	80	valid
12.0ms	164×	body	80	invalid
5.0ms	2×	body	1280	valid
4.0ms	15×	body	320	valid
3.0ms	7×	body	640	valid
2.0ms	11×	body	160	valid
2.0ms	4×	body	640	invalid
1.0ms	5×	body	160	invalid
1.0ms	3×	body	320	invalid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

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: 3.2b

Counts

2 → 2

localize17.0ms

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))
1.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.6b	(log (- 1.0 z))

rewrite33.0ms

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:

8.0ms	(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))

series104.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
16.0ms	(* y (- (log z) t))
37.0ms	(+ (* 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

prune190.0ms

Filtered

85 candidates to 107 candidates (-25.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	105	4	109

Merged error: 0.0b

Counts

109 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

15.0ms	(* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b))
19.0ms	(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))
17.0ms	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))

series132.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b))
54.0ms	(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))
48.0ms	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))

simplify48.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4972	2537
1	4972	2537

prune229.0ms

Filtered

85 candidates to 111 candidates (-30.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	111	4	115

Merged error: 0.0b

Counts

115 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow E (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.2b	(* y (- (log z) t))
1.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.6b	(log (- 1.0 z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

6.0ms	(pow E (+ (* 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))

series105.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(pow E (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
13.0ms	(* y (- (log z) t))
40.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

simplify46.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4982	1718
1	4982	1718

prune184.0ms

Filtered

88 candidates to 113 candidates (-28.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	113	4	117

Merged error: 0.0b

Counts

117 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
1.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.6b	(log (- 1.0 z))
4.6b	(log (- 1.0 z))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
32×	`associate--l+`
26×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`associate-+r+`
20×	`distribute-rgt-in` `distribute-lft-in`
16×	`associate-+l+` `associate-*r/`
14×	`add-cube-cbrt`
10×	`flip3--` `flip--`
8×	`sub-neg` `frac-add` `add-log-exp`
6×	`pow1` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
4×	`log-div` `add-cbrt-cube`
2×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `log-pow` `flip-+`

Counts

4 → 102

Calls

4 calls:

14.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
12.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))
3.0ms	(log (- 1.0 z))

series87.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
39.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))
3.0ms	(log (- 1.0 z))

simplify29.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5105	1990

prune290.0ms

Filtered

100 candidates to 114 candidates (-14.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	114	4	118

Merged error: 0.0b

Counts

118 → 4

regimes547.0ms

Accuracy

35.1% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.4b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	97	67
1	97	67

end0.0ms

sample2.9s

Algorithm

intervals

Results

807.0ms	10466×	body	80	nan
565.0ms	7211×	body	80	valid
392.0ms	5081×	body	80	invalid
104.0ms	252×	body	640	valid
80.0ms	300×	body	320	valid
48.0ms	116×	body	640	invalid
43.0ms	52×	body	1280	valid
31.0ms	185×	body	160	valid
31.0ms	121×	body	320	invalid
16.0ms	97×	body	160	invalid
15.0ms	19×	body	1280	invalid

Details

analyze802.0ms

sample105.0ms

simplify38.0ms

prune16.0ms

localize17.0ms

rewrite33.0ms

series104.0ms

simplify43.0ms

prune190.0ms

localize20.0ms

rewrite61.0ms

series132.0ms

simplify48.0ms

prune229.0ms

localize16.0ms

rewrite31.0ms

series105.0ms

simplify46.0ms

prune184.0ms

localize20.0ms

rewrite37.0ms

series87.0ms

simplify29.0ms

prune290.0ms

regimes547.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample2.9s

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