Details

sample71.0ms

Algorithm

intervals

Results

25.0ms	91×	body	1280	valid
16.0ms	91×	body	640	valid
12.0ms	279×	body	80	valid
4.0ms	32×	body	320	valid
2.0ms	18×	body	160	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	139	4
4	271	4
5	520	4
6	1491	4
7	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: 0.0b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(sinh y)
0.0b	(* (sin x) (/ (sinh y) y))

rewrite15.0ms

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` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 74

Calls

3 calls:

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

series247.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(/ (sinh y) y)
61.0ms	(sinh y)
100.0ms	(* (sin x) (/ (sinh y) y))

simplify42.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	348	444
1	1367	399
2	5001	397

prune159.0ms

Filtered

83 candidates to 67 candidates (80.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	5	84

Merged error: 0.0b

Counts

84 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(sinh y)
0.0b	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
0.0b	(* (sin x) (sqrt (/ (sinh y) y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-r`
28×	`add-sqr-sqrt` `sqrt-prod`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`sqrt-div`
4×	`expm1-log1p-u` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`sinh-def` `*-commutative` `div-inv`
1×	`frac-times` `associate-*l/`

Counts

4 → 92

Calls

4 calls:

1.0ms	(sinh y)
1.0ms	(sinh y)
12.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
11.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

series421.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sinh y)
61.0ms	(sinh y)
119.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
179.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

simplify118.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (108.0ms)

Iter	Nodes	Cost
0	885	1066
1	4339	933
2	5002	893

prune299.0ms

Filtered

104 candidates to 83 candidates (79.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	104	5	109

Merged error: 0.0b

Counts

109 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(cbrt (pow (/ (sinh y) y) 3))
0.0b	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
0.0b	(pow (/ (sinh y) y) 3)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-prod`
66×	`add-sqr-sqrt`
56×	`times-frac`
51×	`add-cube-cbrt` `*-un-lft-identity`
41×	`unpow-prod-down` `cube-prod`
35×	`associate-r`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`pow1` `unswap-sqr`
6×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l`
2×	`cbrt-div` `pow-exp` `rem-cube-cbrt`
1×	`cbrt-undiv` `pow-to-exp` `sinh-def` `pow-pow` `pow1/3` `associate-r/` `div-exp` `pow-prod-down` `prod-exp` `-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 161

Calls

4 calls:

1.0ms	(sinh y)
8.0ms	(cbrt (pow (/ (sinh y) y) 3))
14.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
5.0ms	(pow (/ (sinh y) y) 3)

series392.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(sinh y)
103.0ms	(cbrt (pow (/ (sinh y) y) 3))
110.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
120.0ms	(pow (/ (sinh y) y) 3)

simplify90.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	610	1080
1	2821	977
2	5001	956

prune273.0ms

Filtered

173 candidates to 99 candidates (57.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	173	5	178

Merged error: 0.0b

Counts

178 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
16.4b	(/ (* (sin x) (sinh y)) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

1.0ms	(sinh y)
5.0ms	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) y)

series244.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(sinh y)
82.0ms	(* (sin x) (sinh y))
100.0ms	(/ (* (sin x) (sinh y)) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	291	340
1	1275	291
2	5001	273

prune128.0ms

Filtered

64 candidates to 47 candidates (73.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	1	0	1
Picked	0	1	1
Done	1	2	3
Total	64	5	69

Merged error: 0b

Counts

69 → 5

regimes95.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4

end0.0ms

sample2.1s

Algorithm

intervals

Results

847.0ms	2989×	body	1280	valid
430.0ms	2437×	body	640	valid
340.0ms	8486×	body	80	valid
151.0ms	1199×	body	320	valid
52.0ms	622×	body	160	valid