Details

sample234.0ms

Algorithm

intervals

Results

68.0ms	934×	body	80	nan
31.0ms	359×	body	80	valid
4.0ms	9×	body	640	valid
3.0ms	12×	body	320	valid
2.0ms	2×	body	1280	valid
1.0ms	8×	body	160	valid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	10
1	58	10
2	129	10
3	318	10
4	1073	10
5	5001	10

prune5.0ms

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: 2.0b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (log (- 1.0 z)) b))
0.2b	(* y (- (log z) t))
0.8b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.5b	(log (- 1.0 z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

9.0ms	(* a (- (log (- 1.0 z)) b))
9.0ms	(* y (- (log z) t))
11.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

series68.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* a (- (log (- 1.0 z)) b))
14.0ms	(* y (- (log z) t))
39.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

simplify75.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	696	1071
1	2712	1006
2	5001	983

prune209.0ms

Filtered

93 candidates to 137 candidates (-47.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	2	138

Merged error: 0.3b

Counts

138 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

4.0ms	(+ (* a b) (* 1.0 (* a z)))
4.0ms	(- (log z) t)
7.0ms	(* y (- (log z) t))
13.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))

series71.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (* a b) (* 1.0 (* a z)))
9.0ms	(- (log z) t)
18.0ms	(* y (- (log z) t))
35.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))

simplify73.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	591	1015
1	2483	953
2	5002	923

prune153.0ms

Filtered

75 candidates to 110 candidates (-46.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	110	2	112

Merged error: 0.3b

Counts

112 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log z) t)
0.2b	(* y (- (log z) t))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

4.0ms	(- (log z) t)
7.0ms	(* y (- (log z) t))

series22.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(- (log z) t)
14.0ms	(* y (- (log z) t))

simplify53.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	208	274
1	717	242
2	2433	225
3	5002	225

prune59.0ms

Filtered

34 candidates to 57 candidates (-67.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	57	2	59

Merged error: 0.3b

Counts

59 → 2

regimes373.0ms

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	28	13
1	28	13

end0.0ms

sample6.7s

Algorithm

intervals

Results

2.7s	37007×	body	80	nan
1.0s	12446×	body	80	valid
148.0ms	347×	body	640	valid
109.0ms	398×	body	320	valid
59.0ms	72×	body	1280	valid
52.0ms	299×	body	160	valid

Details

sample234.0ms

simplify36.0ms

prune5.0ms

localize15.0ms

rewrite36.0ms

series68.0ms

simplify75.0ms

prune209.0ms

localize20.0ms

rewrite31.0ms

series71.0ms

simplify73.0ms

prune153.0ms

localize12.0ms

rewrite12.0ms

series22.0ms

simplify53.0ms

prune59.0ms

regimes373.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.7s

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