Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

332×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 5.6b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(- (/ y z) (/ t (- 1.0 z)))
5.4b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite172.0ms

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:

5.0ms	(/ t (- 1.0 z))
24.0ms	(- (/ y z) (/ t (- 1.0 z)))
45.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series114.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ t (- 1.0 z))
37.0ms	(- (/ y z) (/ t (- 1.0 z)))
44.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify254.0ms

Algorithm

egg-herbie

Counts

936 → 936

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	1661	27825
1	5001	22260

prune1.4s

Filtered

936 candidates to 376 candidates (40.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	924	12	936
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	925	12	937

Merged error: 0.5b

Counts

937 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 z))
0.0b	(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b	(* t (/ 1 (- 1.0 z)))
5.4b	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
68×	`times-frac`
54×	`add-cube-cbrt`
39×	`prod-diff`
24×	`associate-r`
19×	`add-exp-log`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`fma-neg` `add-cbrt-cube`
9×	`pow1`
7×	`associate-*r/` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l` `div-inv` `add-log-exp`
5×	`prod-exp` `associate-/r*`
4×	`expm1-log1p-u` `flip3--` `div-exp` `associate-/r/` `frac-sub` `flip--` `log1p-expm1-u` `unswap-sqr`
3×	`sub-neg` `un-div-inv` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `*-commutative`
1×	`pow-flip` `frac-2neg` `diff-log` `clear-num` `inv-pow`

Counts

4 → 185

Calls

4 calls:

5.0ms	(/ 1 (- 1.0 z))
7.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
10.0ms	(* t (/ 1 (- 1.0 z)))
9.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series139.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 1 (- 1.0 z))
32.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
32.0ms	(* t (/ 1 (- 1.0 z)))
49.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify77.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	626	1632
1	2697	1397
2	5001	1294

prune312.0ms

Filtered

197 candidates to 116 candidates (58.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	197	12	209

Merged error: 0.5b

Counts

209 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.1b	(fma y (/ 1 z) (- (/ t (- 1.0 z))))
5.4b	(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

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

series142.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ t (- 1.0 z))
46.0ms	(fma y (/ 1 z) (- (/ t (- 1.0 z))))
58.0ms	(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

simplify38.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	303	522
1	1110	468
2	5001	463

prune183.0ms

Filtered

80 candidates to 62 candidates (77.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	4	6	10
Picked	1	0	1
Done	0	1	1
Total	83	9	92

Merged error: 0.0b

Counts

92 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
1.9b	(* x (- (/ t (- 1.0 z))))
4.1b	(/ (* x y) z)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
58×	`*-un-lft-identity`
51×	`times-frac`
46×	`associate-r`
38×	`add-cube-cbrt`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
13×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r*`
7×	`fma-def`
6×	`pow1` `associate-/r/` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`cbrt-undiv` `flip3--` `div-exp` `associate-l` `distribute-rgt-neg-out` `flip--`
2×	`frac-2neg` `associate-*r/` `prod-exp` `clear-num` `cbrt-unprod` `distribute-neg-frac`
1×	`+-commutative` `neg-mul-1` `flip3-+` `unsub-neg` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

4 → 150

Calls

4 calls:

5.0ms	(/ t (- 1.0 z))
6.0ms	(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
14.0ms	(* x (- (/ t (- 1.0 z))))
4.0ms	(/ (* x y) z)

series180.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ t (- 1.0 z))
65.0ms	(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
55.0ms	(* x (- (/ t (- 1.0 z))))
24.0ms	(/ (* x y) z)

simplify76.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	641	851
1	3080	795
2	5002	792

prune318.0ms

Filtered

162 candidates to 125 candidates (77.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	157	5	162
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	160	11	171

Merged error: 0.0b

Counts

171 → 11

regimes283.0ms

Accuracy

64.7% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 5.2b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	29
1	55	29
2	60	29
3	62	29
4	62	29

end0.0ms

sample559.0ms

Algorithm

intervals

Results

306.0ms

10141×

body

valid