Details

analyze855.0ms

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

sample110.0ms

Algorithm

intervals

Results

27.0ms	339×	body	80	nan
19.0ms	221×	body	80	valid
13.0ms	153×	body	80	invalid
7.0ms	15×	body	640	valid
3.0ms	11×	body	320	valid
2.0ms	8×	body	160	valid
1.0ms	5×	body	320	invalid
1.0ms	3×	body	640	invalid
1.0ms	1×	body	1280	valid
1.0ms	5×	body	160	invalid
1.0ms	1×	body	1280	invalid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4997	17
1	4997	17

prune19.0ms

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: 3.3b

Counts

2 → 2

localize15.0ms

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))
0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.1b	(log (- 1.0 z))

rewrite34.0ms

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))

series109.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(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))

simplify44.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4966	1523
1	4966	1523

prune182.0ms

Filtered

85 candidates to 107 candidates (-25.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

109 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ z 1.0) (/ z 1.0)) -1/2)
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))
0.5b	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

9.0ms	(* (* (/ z 1.0) (/ z 1.0)) -1/2)
18.0ms	(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)))

series125.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* (/ z 1.0) (/ z 1.0)) -1/2)
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))
50.0ms	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))

simplify47.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4977	2189
1	4977	2189

prune230.0ms

Filtered

80 candidates to 111 candidates (-38.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	111	2	113

Merged error: 0.0b

Counts

113 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (pow (/ z (exp t)) y))
0.0b	(/ (- 1.0 z) (exp b))
0.2b	(pow (/ z (exp t)) y)
1.5b	(pow (/ (- 1.0 z) (exp b)) a)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt` `*-un-lft-identity`
48×	`times-frac`
45×	`unpow-prod-down`
40×	`add-cube-cbrt`
17×	`exp-prod`
9×	`add-exp-log`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `pow-unpow` `add-cbrt-cube`
5×	`associate-/l*` `add-log-exp`
4×	`pow-exp` `div-inv`
3×	`div-exp` `associate-/r*` `sqr-pow`
2×	`pow-to-exp` `pow-pow` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `clear-num` `flip--` `rem-exp-log`

Counts

4 → 125

Calls

4 calls:

5.0ms	(exp (pow (/ z (exp t)) y))
6.0ms	(/ (- 1.0 z) (exp b))
5.0ms	(pow (/ z (exp t)) y)
7.0ms	(pow (/ (- 1.0 z) (exp b)) a)

series94.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(exp (pow (/ z (exp t)) y))
8.0ms	(/ (- 1.0 z) (exp b))
22.0ms	(pow (/ z (exp t)) y)
36.0ms	(pow (/ (- 1.0 z) (exp b)) a)

simplify55.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5014	1495

prune215.0ms

Filtered

100 candidates to 137 candidates (-37.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	137	2	139

Merged error: 0.0b

Counts

139 → 2

regimes394.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b 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

sample3.2s

Algorithm

intervals

Results

905.0ms	10797×	body	80	nan
635.0ms	7204×	body	80	valid
465.0ms	5248×	body	80	invalid
123.0ms	267×	body	640	valid
87.0ms	289×	body	320	valid
44.0ms	152×	body	320	invalid
44.0ms	98×	body	640	invalid
39.0ms	46×	body	1280	valid
36.0ms	194×	body	160	valid
17.0ms	93×	body	160	invalid
12.0ms	14×	body	1280	invalid

Details

analyze855.0ms

sample110.0ms

simplify37.0ms

prune19.0ms

localize15.0ms

rewrite34.0ms

series109.0ms

simplify44.0ms

prune182.0ms

localize20.0ms

rewrite54.0ms

series125.0ms

simplify47.0ms

prune230.0ms

localize17.0ms

rewrite30.0ms

series94.0ms

simplify55.0ms

prune215.0ms

regimes394.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.2s

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