Details

sample197.0ms

Algorithm

intervals

Results

87.0ms	1275×	body	80	nan
32.0ms	390×	body	80	valid
6.0ms	14×	body	640	valid
3.0ms	11×	body	320	valid
2.0ms	2×	body	1280	valid
1.0ms	8×	body	160	valid

simplify37.0ms

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

prune3.0ms

Filtered

1 candidates to 0 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: 1.6b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.1b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.3b	(log (- 1.0 z))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

27×	`log-prod`
24×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`associate--l+`
17×	`distribute-rgt-in` `distribute-lft-in`
14×	`add-cube-cbrt` `associate-+r+`
10×	`associate-+l+` `associate-*r/`
9×	`add-log-exp`
8×	`pow1`
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 → 101

Calls

4 calls:

19.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
13.0ms	(* y (- (log z) t))
21.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

series435.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
71.0ms	(* y (- (log z) t))
182.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
41.0ms	(log (- 1.0 z))

simplify68.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	630	971
1	2443	914
2	5001	902

prune368.0ms

Filtered

113 candidates to 84 candidates (74.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	109	4	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	4	114

Merged error: 0.3b

Counts

114 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (/ (pow z 2) (pow 1.0 2)))
0.0b	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.1b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
81×	`associate-r`
80×	`times-frac`
60×	`*-un-lft-identity`
56×	`unpow-prod-down`
50×	`add-cube-cbrt`
44×	`associate--l+`
31×	`add-exp-log`
24×	`distribute-rgt-in` `log-prod` `distribute-lft-in` `unpow2` `sqr-pow`
19×	`unswap-sqr`
14×	`associate-+r+`
13×	`associate-*r/` `add-cbrt-cube`
12×	`pow1` `sub-neg` `prod-exp`
10×	`associate-+l+`
9×	`div-exp` `associate-l`
7×	`distribute-lft-out--`
6×	`pow-to-exp` `flip3--` `pow-exp` `flip--` `add-log-exp`
4×	`frac-add` `cbrt-unprod`
3×	`pow-prod-down` `*-commutative`
2×	`log-pow` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `sum-log` `flip-+` `div-inv`

Counts

4 → 220

Calls

4 calls:

23.0ms	(* 1/2 (/ (pow z 2) (pow 1.0 2)))
19.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
7.0ms	(* y (- (log z) t))
21.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series466.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* 1/2 (/ (pow z 2) (pow 1.0 2)))
103.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
72.0ms	(* y (- (log z) t))
237.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify126.0ms

Algorithm

egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1080	2117
1	4758	1931
2	5001	1931

prune804.0ms

Filtered

232 candidates to 147 candidates (63.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	230	2	232
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	232	4	236

Merged error: 0.0b

Counts

236 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.3b	(log (- 1.0 z))
6.3b	(log (- 1.0 z))
6.3b	(log (- 1.0 z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

13.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))
3.0ms	(log (- 1.0 z))
4.0ms	(log (- 1.0 z))

series317.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
41.0ms	(log (- 1.0 z))
47.0ms	(log (- 1.0 z))
42.0ms	(log (- 1.0 z))

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	492	822
1	1639	785
2	5001	785

prune500.0ms

Filtered

99 candidates to 80 candidates (80.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log z) t)
0.1b	(* y (- (log z) t))

rewrite13.0ms

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))

series131.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(- (log z) t)
70.0ms	(* y (- (log z) t))

simplify65.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	193	265
1	679	234
2	2985	227
3	5001	225

prune125.0ms

Filtered

57 candidates to 34 candidates (59.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	57	4	61

Merged error: 0.0b

Counts

61 → 4

regimes246.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.8s	40629×	body	80	nan
967.0ms	12587×	body	80	valid
142.0ms	357×	body	640	valid
104.0ms	402×	body	320	valid
54.0ms	69×	body	1280	valid
40.0ms	249×	body	160	valid