Details

sample57.0ms

Algorithm

intervals

Results

15.0ms	57×	body	1280	valid
12.0ms	329×	body	80	valid
11.0ms	64×	body	640	valid
4.0ms	32×	body	320	valid
3.0ms	30×	body	160	valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	32	4
2	68	4
3	146	4
4	292	4
5	556	4
6	1543	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: 15.8b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
15.8b	(/ (* (sin x) (sinh y)) x)

rewrite12.0ms

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)
4.0ms	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) x)

series233.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(sinh y)
81.0ms	(* (sin x) (sinh y))
90.0ms	(/ (* (sin x) (sinh y)) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	292	340
1	1273	291
2	5001	273

prune120.0ms

Filtered

64 candidates to 49 candidates (76.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	59	5	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	5	65

Merged error: 0.0b

Counts

65 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 116

Calls

3 calls:

1.0ms	(sinh y)
3.0ms	(/ x (sinh y))
6.0ms	(/ (sin x) (/ x (sinh y)))

series254.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(sinh y)
107.0ms	(/ x (sinh y))
90.0ms	(/ (sin x) (/ x (sinh y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	488	956
1	2017	903
2	5001	882

prune240.0ms

Filtered

125 candidates to 105 candidates (84.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	126	4	130

Merged error: 0b

Counts

130 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ 1 (sinh y))
0.1b	(/ (sin x) x)
0.2b	(/ (/ (sin x) x) (/ 1 (sinh y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

461×	`times-frac`
223×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`add-exp-log` `div-inv`
20×	`associate-/r*` `add-cbrt-cube`
19×	`div-exp` `associate-/l*`
16×	`sinh-def` `associate-/r/`
10×	`cbrt-undiv`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

4 → 308

Calls

4 calls:

1.0ms	(sinh y)
4.0ms	(/ 1 (sinh y))
4.0ms	(/ (sin x) x)
15.0ms	(/ (/ (sin x) x) (/ 1 (sinh y)))

series256.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(sinh y)
71.0ms	(/ 1 (sinh y))
27.0ms	(/ (sin x) x)
96.0ms	(/ (/ (sin x) x) (/ 1 (sinh y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

320 → 320

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1420	3483
1	5001	3148

prune522.0ms

Filtered

320 candidates to 205 candidates (64.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	320	0	320
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	320	4	324

Merged error: 0b

Counts

324 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (sin x)) (cbrt (sin x)))
0.6b	(cbrt (sin x))
0.6b	(cbrt (sin x))
0.6b	(cbrt (sin x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (sin x)) (cbrt (sin x)))
1.0ms	(cbrt (sin x))
1.0ms	(cbrt (sin x))
2.0ms	(cbrt (sin x))

series405.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (cbrt (sin x)) (cbrt (sin x)))
95.0ms	(cbrt (sin x))
98.0ms	(cbrt (sin x))
96.0ms	(cbrt (sin x))

simplify95.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	159	483
1	568	431
2	3135	398
3	5001	392

prune186.0ms

Filtered

93 candidates to 68 candidates (73.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	93	4	97

Merged error: 0b

Counts

97 → 4

regimes52.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4

end0.0ms

sample1.7s

Algorithm

intervals

Results

479.0ms	1736×	body	1280	valid
408.0ms	10282×	body	80	valid
342.0ms	1931×	body	640	valid
149.0ms	1176×	body	320	valid
47.0ms	561×	body	160	valid