Details

sample267.0ms

Algorithm

intervals

Results

96.0ms	1259×	body	80	nan
35.0ms	398×	body	80	valid
5.0ms	11×	body	640	valid
4.0ms	13×	body	320	valid
1.0ms	8×	body	160	valid
1.0ms	1×	body	1280	valid

simplify27.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5013	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: 1.8b

Counts

2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.9b	(log (- 1.0 z))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `log-prod`
24×	`*-un-lft-identity`
22×	`associate--l+`
17×	`distribute-rgt-in` `distribute-lft-in`
15×	`add-cube-cbrt`
14×	`associate-+r+`
10×	`pow1` `associate-+l+` `associate-r/` `associate-r*`
8×	`add-exp-log` `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 → 107

Calls

4 calls:

13.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
8.0ms	(* y (- (log z) t))
17.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.0ms	(log (- 1.0 z))

series141.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
16.0ms	(* y (- (log z) t))
44.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

simplify29.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5871	1772

prune220.0ms

Filtered

91 candidates to 119 candidates (-30.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	118	3	121

Merged error: 0.0b

Counts

121 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (- (log 1.0) (+ (* 1.0 z) (* 1/2 (* (/ z 1.0) (/ z 1.0))))) b))
0.0b	(- (log z) t)
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1.0 z) (* 1/2 (* (/ z 1.0) (/ z 1.0))))) b)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

16.0ms	(* a (- (- (log 1.0) (+ (* 1.0 z) (* 1/2 (* (/ z 1.0) (/ z 1.0))))) b))
5.0ms	(- (log z) t)
8.0ms	(* y (- (log z) t))
18.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1.0 z) (* 1/2 (* (/ z 1.0) (/ z 1.0))))) b)))

series105.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* a (- (- (log 1.0) (+ (* 1.0 z) (* 1/2 (* (/ z 1.0) (/ z 1.0))))) b))
10.0ms	(- (log z) t)
15.0ms	(* y (- (log z) t))
56.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1.0 z) (* 1/2 (* (/ z 1.0) (/ z 1.0))))) b)))

simplify57.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5060	2698

prune264.0ms

Filtered

93 candidates to 140 candidates (-50.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	140	3	143

Merged error: 0.0b

Counts

143 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (log z)) (- (* a (- (log (- 1.0 z)) b)) (* y t)))))
0.2b	(* y (log z))
0.3b	(- (* a (- (log (- 1.0 z)) b)) (* y t))
5.9b	(log (- 1.0 z))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

14.0ms	(* x (exp (+ (* y (log z)) (- (* a (- (log (- 1.0 z)) b)) (* y t)))))
5.0ms	(* y (log z))
11.0ms	(- (* a (- (log (- 1.0 z)) b)) (* y t))
4.0ms	(log (- 1.0 z))

series116.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* x (exp (+ (* y (log z)) (- (* a (- (log (- 1.0 z)) b)) (* y t)))))
8.0ms	(* y (log z))
33.0ms	(- (* a (- (log (- 1.0 z)) b)) (* y t))
3.0ms	(log (- 1.0 z))

simplify32.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5300	1171

prune167.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	99	3	102

Merged error: 0.0b

Counts

102 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- (* a (- (log (- 1.0 z)) b)) (* y t)))
0.3b	(- (* a (- (log (- 1.0 z)) b)) (* y t))
0.5b	(* (* (pow z y) x) (exp (- (* a (- (log (- 1.0 z)) b)) (* y t))))
5.9b	(log (- 1.0 z))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

72×	`associate--l+`
35×	`log-prod`
32×	`exp-sum`
27×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`distribute-rgt-in` `distribute-lft-in`
19×	`associate-r`
13×	`add-cube-cbrt`
11×	`add-exp-log`
9×	`sub-neg` `add-cbrt-cube` `add-log-exp`
7×	`pow1` `prod-exp` `distribute-lft-out--` `difference-of-squares`
3×	`exp-prod` `cbrt-unprod`
2×	`log-div` `flip3--` `exp-diff` `diff-log` `flip--` `rem-exp-log`
1×	`pow-to-exp` `associate-r/` `rem-log-exp` `associate-l` `pow-prod-down` `pow-exp` `log-pow` `-commutative`

Counts

4 → 107

Calls

4 calls:

13.0ms	(exp (- (* a (- (log (- 1.0 z)) b)) (* y t)))
11.0ms	(- (* a (- (log (- 1.0 z)) b)) (* y t))
23.0ms	(* (* (pow z y) x) (exp (- (* a (- (log (- 1.0 z)) b)) (* y t))))
4.0ms	(log (- 1.0 z))

series279.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(exp (- (* a (- (log (- 1.0 z)) b)) (* y t)))
30.0ms	(- (* a (- (log (- 1.0 z)) b)) (* y t))
183.0ms	(* (* (pow z y) x) (exp (- (* a (- (log (- 1.0 z)) b)) (* y t))))
3.0ms	(log (- 1.0 z))

simplify41.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4994	1760
1	4994	1760

prune181.0ms

Filtered

84 candidates to 119 candidates (-41.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	119	3	122

Merged error: 0.0b

Counts

122 → 3

regimes433.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	30
1	30	30

end0.0ms

sample8.4s

Algorithm

intervals

Results

3.1s	41332×	body	80	nan
1.1s	12646×	body	80	valid
147.0ms	350×	body	640	valid
107.0ms	393×	body	320	valid
63.0ms	84×	body	1280	valid
46.0ms	260×	body	160	valid

Details

sample267.0ms

simplify27.0ms

prune17.0ms

localize17.0ms

rewrite48.0ms

series141.0ms

simplify29.0ms

prune220.0ms

localize22.0ms

rewrite55.0ms

series105.0ms

simplify57.0ms

prune264.0ms

localize17.0ms

rewrite37.0ms

series116.0ms

simplify32.0ms

prune167.0ms

localize16.0ms

rewrite56.0ms

series279.0ms

simplify41.0ms

prune181.0ms

regimes433.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample8.4s

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