Details

sample196.0ms

Algorithm

intervals

Results

84.0ms	1421×	body	80	nan
27.0ms	428×	body	80	valid
5.0ms	12×	body	640	valid
2.0ms	2×	body	1280	valid
2.0ms	7×	body	320	valid
1.0ms	10×	body	160	valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	10
1	62	10
2	137	10
3	344	10
4	1155	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: 2.2b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

96×	`prod-diff`
91×	`add-sqr-sqrt`
89×	`*-un-lft-identity`
73×	`add-cube-cbrt`
72×	`distribute-rgt-in` `distribute-lft-in`
38×	`associate-+r+`
37×	`log-prod`
35×	`pow1`
34×	`associate-+l+`
32×	`associate--l+`
27×	`log-pow`
12×	`associate-r/` `associate-r*`
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×	`expm1-log1p-u` `frac-add` `log1p-expm1-u`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `rem-log-exp` `sum-log` `flip-+`

Counts

4 → 230

Calls

4 calls:

13.0ms	(* a (- (log (- 1.0 z)) b))
16.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
8.0ms	(* y (- (log z) t))
4.0ms	(log (- 1.0 z))

series382.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* a (- (log (- 1.0 z)) b))
189.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
75.0ms	(* y (- (log z) t))
42.0ms	(log (- 1.0 z))

simplify108.0ms

Algorithm

egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	959	2405
1	3910	1813
2	5001	1810

prune711.0ms

Filtered

242 candidates to 139 candidates (57.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	241	1	242
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	242	1	243

Merged error: 0.0b

Counts

243 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

48×	`prod-diff`
46×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
40×	`add-cube-cbrt`
34×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
21×	`pow1`
13×	`log-pow`
12×	`log-prod` `associate--l+`
10×	`associate-r`
8×	`add-cbrt-cube`
7×	`add-exp-log`
6×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `associate-+r+` `flip3--` `fma-def` `flip3-+` `exp-sum` `sum-log` `flip--` `flip-+` `difference-of-squares`

Counts

4 → 139

Calls

4 calls:

1.0ms	(fma a b (* 1.0 (* a z)))
11.0ms	(* x (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z))))))))
11.0ms	(+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z))))))
8.0ms	(* y (- (log z) t))

series452.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(fma a b (* 1.0 (* a z)))
168.0ms	(* x (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z))))))))
160.0ms	(+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z))))))
76.0ms	(* y (- (log z) t))

simplify62.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	493	1580
1	1993	1219
2	5001	1213

prune532.0ms

Filtered

151 candidates to 94 candidates (62.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	150	2	152

Merged error: 0.0b

Counts

152 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z))))))))
0.2b	(* y (- (log z) t))
0.2b	(* y (- (log z) t))
0.2b	(* y (- (log z) t))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

72×	`prod-diff`
71×	`add-sqr-sqrt`
68×	`*-un-lft-identity`
59×	`add-cube-cbrt`
51×	`distribute-rgt-in` `distribute-lft-in`
31×	`pow1`
21×	`log-pow`
18×	`log-prod` `associate-r` `associate--l+`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-l`
6×	`sub-neg` `associate-*r/` `distribute-lft-out--`
4×	`cbrt-prod` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`pow1/3` `exp-sum`

Counts

4 → 191

Calls

4 calls:

6.0ms	(cbrt (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z))))))))
8.0ms	(* y (- (log z) t))
8.0ms	(* y (- (log z) t))
8.0ms	(* y (- (log z) t))

series599.0ms

Counts

4 → 12

Calls

4 calls:

378.0ms	(cbrt (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z))))))))
74.0ms	(* y (- (log z) t))
74.0ms	(* y (- (log z) t))
72.0ms	(* y (- (log z) t))

simplify139.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	315	1944
1	1129	1338
2	4667	1173
3	5001	1173

prune607.0ms

Filtered

203 candidates to 90 candidates (44.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	202	1	203
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	202	3	205

Merged error: 0b

Counts

205 → 3

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (- (log z) t))
0.3b	(cbrt (cbrt (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z)))))))))
0.3b	(cbrt (cbrt (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z)))))))))
0.3b	(cbrt (cbrt (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z)))))))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-prod`
32×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
28×	`add-cube-cbrt`
24×	`prod-diff`
17×	`distribute-rgt-in` `distribute-lft-in`
13×	`pow1`
7×	`log-pow`
6×	`add-exp-log` `log-prod` `associate-r` `associate--l+` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `exp-sum`
2×	`sub-neg` `associate-*r/` `distribute-lft-out--`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

8.0ms	(* y (- (log z) t))
6.0ms	(cbrt (cbrt (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z)))))))))
7.0ms	(cbrt (cbrt (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z)))))))))
7.0ms	(cbrt (cbrt (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z)))))))))

series612.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* y (- (log z) t))
181.0ms	(cbrt (cbrt (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z)))))))))
181.0ms	(cbrt (cbrt (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z)))))))))
179.0ms	(cbrt (cbrt (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z)))))))))

simplify135.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	325	1704
1	1139	1424
2	4677	1350
3	5001	1350

prune525.0ms

Filtered

122 candidates to 73 candidates (59.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	122	3	125

Merged error: 0b

Counts

125 → 3

regimes166.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	12
1	24	12

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.3s	40968×	body	80	nan
795.0ms	12457×	body	80	valid
129.0ms	366×	body	640	valid
92.0ms	422×	body	320	valid
58.0ms	80×	body	1280	valid
36.0ms	265×	body	160	valid