Details

sample71.0ms

Algorithm

intervals

Results

25.0ms	87×	body	1280	valid
16.0ms	77×	body	640	valid
11.0ms	262×	body	80	valid
5.0ms	41×	body	320	valid
2.0ms	20×	body	160	valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	102	4
4	153	4
5	334	4
6	924	4
7	1912	4
8	5001	4

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: 0.3b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.1b	(/ (sin y) y)
0.2b	(* (cosh x) (/ (sin y) y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`expm1-log1p-u` `cosh-def` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 75

Calls

3 calls:

1.0ms	(cosh x)
4.0ms	(/ (sin y) y)
7.0ms	(* (cosh x) (/ (sin y) y))

series145.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(cosh x)
25.0ms	(/ (sin y) y)
74.0ms	(* (cosh x) (/ (sin y) y))

simplify39.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	303	450
1	1150	402
2	5002	380

prune173.0ms

Filtered

84 candidates to 65 candidates (77.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	76	8	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	8	85

Merged error: 0.3b

Counts

85 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (sin y))
0.0b	(cosh x)
0.5b	(* (* (cosh x) (sin y)) (/ 1 y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
16×	`associate-r`
14×	`add-sqr-sqrt`
13×	`prod-exp`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`times-frac`
7×	`cbrt-unprod`
4×	`cosh-def` `div-exp` `associate-l` `pow-prod-down` `associate-*l/`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`frac-times` `associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 73

Calls

3 calls:

4.0ms	(* (cosh x) (sin y))
1.0ms	(cosh x)
8.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

series186.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* (cosh x) (sin y))
43.0ms	(cosh x)
76.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

simplify52.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	412	490
1	1867	404
2	5002	369

prune144.0ms

Filtered

82 candidates to 55 candidates (67.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	81	9	90

Merged error: 0.2b

Counts

90 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cosh x) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
27×	`add-sqr-sqrt` `times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
11×	`cbrt-div`
9×	`pow1` `add-exp-log`
7×	`add-cbrt-cube`
5×	`frac-times` `associate-*r/`
4×	`expm1-log1p-u` `cosh-def` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

11.0ms	(* (cosh x) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))))
2.0ms	(cbrt (/ (sin y) y))
3.0ms	(cbrt (/ (sin y) y))
3.0ms	(cbrt (/ (sin y) y))

series556.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (cosh x) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))))
128.0ms	(cbrt (/ (sin y) y))
127.0ms	(cbrt (/ (sin y) y))
134.0ms	(cbrt (/ (sin y) y))

simplify125.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	338	922
1	1048	853
2	4463	815
3	5001	815

prune291.0ms

Filtered

112 candidates to 97 candidates (86.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	112	9	121

Merged error: 0.2b

Counts

121 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1/2 (pow x 2) (fma 1/24 (pow x 4) 1))
0.0b	(fma 1/24 (pow x 4) 1)
0.0b	(* (fma 1/2 (pow x 2) (fma 1/24 (pow x 4) 1)) (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 83

Calls

4 calls:

1.0ms	(fma 1/2 (pow x 2) (fma 1/24 (pow x 4) 1))
1.0ms	(fma 1/24 (pow x 4) 1)
6.0ms	(* (fma 1/2 (pow x 2) (fma 1/24 (pow x 4) 1)) (/ (sin y) y))
4.0ms	(/ (sin y) y)

series247.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(fma 1/2 (pow x 2) (fma 1/24 (pow x 4) 1))
79.0ms	(fma 1/24 (pow x 4) 1)
99.0ms	(* (fma 1/2 (pow x 2) (fma 1/24 (pow x 4) 1)) (/ (sin y) y))
25.0ms	(/ (sin y) y)

simplify45.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	269	636
1	1231	565
2	5002	565

prune258.0ms

Filtered

95 candidates to 73 candidates (76.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	6	6
Picked	1	0	1
Done	1	1	2
Total	95	9	104

Merged error: 0.2b

Counts

104 → 9

regimes189.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample2.4s

Algorithm

intervals

Results

963.0ms	2935×	body	1280	valid
485.0ms	2436×	body	640	valid
393.0ms	8551×	body	80	valid
175.0ms	1192×	body	320	valid
60.0ms	624×	body	160	valid