Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

324×

body

valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	5
1	25	5
2	41	5
3	63	5
4	80	5
5	96	5
6	113	5
7	121	5
8	124	5
9	124	5

prune2.0ms

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: 5.5b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ y z) (/ t (- 1.0 z)))
0.0b	(/ t (- 1.0 z))
5.3b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

1192×	`times-frac`
1082×	`add-sqr-sqrt`
1078×	`*-un-lft-identity`
819×	`prod-diff`
814×	`add-cube-cbrt`
275×	`distribute-rgt-in` `distribute-lft-in`
129×	`distribute-lft-out--` `difference-of-squares`
104×	`div-inv`
80×	`associate-/r/`
42×	`flip3--` `flip--`
13×	`fma-neg`
10×	`associate-r`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r*` `add-log-exp`
3×	`expm1-log1p-u` `sub-neg` `associate-r/` `associate-l` `log1p-expm1-u` `associate-/l`
2×	`frac-sub`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 927

Calls

3 calls:

30.0ms	(- (/ y z) (/ t (- 1.0 z)))
5.0ms	(/ t (- 1.0 z))
45.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series124.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- (/ y z) (/ t (- 1.0 z)))
34.0ms	(/ t (- 1.0 z))
55.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify245.0ms

Algorithm

egg-herbie

Counts

936 → 936

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	1661	27825
1	5001	22260

prune1.8s

Filtered

936 candidates to 376 candidates (40.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	923	13	936
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	924	13	937

Merged error: 0.3b

Counts

937 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(/ t (- 1.0 z))
0.1b	(fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))
5.3b	(* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
30×	`times-frac`
26×	`add-cube-cbrt`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `associate-/l*`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `fma-udef`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

5.0ms	(/ t (- 1.0 z))
5.0ms	(/ t (- 1.0 z))
1.0ms	(fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))
4.0ms	(* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))))

series178.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ t (- 1.0 z))
40.0ms	(/ t (- 1.0 z))
46.0ms	(fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))
57.0ms	(* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))))

simplify44.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	310	779
1	1210	702
2	5001	695

prune414.0ms

Filtered

122 candidates to 96 candidates (78.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	123	12	135

Merged error: 0.0b

Counts

135 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(+ (/ (* x y) z) (- (* x (/ t (- 1.0 z)))))
3.2b	(* x (/ t (- 1.0 z)))
7.2b	(/ (* x y) z)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
37×	`times-frac`
28×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r*` `add-log-exp`
7×	`fma-def` `distribute-lft-out--` `difference-of-squares`
6×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r/` `log1p-expm1-u` `div-inv` `associate-/l*`
3×	`associate-l` `prod-exp` `cbrt-unprod`
2×	`flip3--` `frac-2neg` `associate-*r/` `clear-num` `sum-log` `flip--` `unswap-sqr`
1×	`+-commutative` `neg-sub0` `associate-+r-` `flip3-+` `unsub-neg` `pow-prod-down` `neg-log` `frac-add` `*-commutative` `flip-+` `distribute-neg-frac` `distribute-lft-out`

Counts

4 → 130

Calls

4 calls:

6.0ms	(/ t (- 1.0 z))
8.0ms	(+ (/ (* x y) z) (- (* x (/ t (- 1.0 z)))))
10.0ms	(* x (/ t (- 1.0 z)))
4.0ms	(/ (* x y) z)

series173.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ t (- 1.0 z))
65.0ms	(+ (/ (* x y) z) (- (* x (/ t (- 1.0 z)))))
52.0ms	(* x (/ t (- 1.0 z)))
22.0ms	(/ (* x y) z)

simplify78.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	562	746
1	2868	681
2	5002	678

prune424.0ms

Filtered

142 candidates to 107 candidates (75.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	136	6	142
Fresh	8	3	11
Picked	1	0	1
Done	0	0	0
Total	145	9	154

Merged error: 0.0b

Counts

154 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(+ (/ x (/ z y)) (- (* x (/ t (- 1.0 z)))))
3.2b	(* x (/ t (- 1.0 z)))
7.5b	(/ x (/ z y))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

172×	`times-frac`
120×	`add-sqr-sqrt`
117×	`*-un-lft-identity`
101×	`add-cube-cbrt`
44×	`fma-def`
21×	`associate-r`
18×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
12×	`div-inv`
8×	`add-log-exp`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `associate-/r/` `associate-/l*`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l`
2×	`flip3--` `frac-2neg` `associate-*r/` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `neg-sub0` `associate-+r-` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `pow-prod-down` `neg-log` `frac-add` `*-commutative` `flip-+` `distribute-neg-frac`

Counts

4 → 217

Calls

4 calls:

5.0ms	(/ t (- 1.0 z))
23.0ms	(+ (/ x (/ z y)) (- (* x (/ t (- 1.0 z)))))
10.0ms	(* x (/ t (- 1.0 z)))
6.0ms	(/ x (/ z y))

series175.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ t (- 1.0 z))
65.0ms	(+ (/ x (/ z y)) (- (* x (/ t (- 1.0 z)))))
52.0ms	(* x (/ t (- 1.0 z)))
21.0ms	(/ x (/ z y))

simplify96.0ms

Algorithm

egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	781	1120
1	3756	1047
2	5003	1046

prune719.0ms

Filtered

229 candidates to 187 candidates (81.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	224	5	229
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	230	8	238

Merged error: 0b

Counts

238 → 8

regimes244.0ms

Accuracy

20.6% (4.5b remaining)

Error of 4.6b against oracle of 0.1b and baseline of 5.8b

bsearch181.0ms

Steps

Iters	Range		Point
10	3.9709684227258707e-81	6.49211775593964e-64	8.185391210202485e-67
8	-1421.6155834850151	-0.4506066524886072	-0.8424720202832825
9	-6.327015648851362e+192	-5.139169098721271e+183	-1.0011343725349988e+191

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	66
1	101	66
2	103	66
3	103	66

end0.0ms

sample564.0ms

Algorithm

intervals

Results

299.0ms

10206×

body

valid