Details

sample74.0ms

Algorithm

intervals

Results

31.0ms	102×	body	1280	valid
14.0ms	87×	body	640	valid
10.0ms	256×	body	80	valid
4.0ms	32×	body	320	valid
1.0ms	14×	body	160	valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(sinh y)
0.0b	(* (cos x) (/ (sinh 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` `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	(* (cos x) (/ (sinh y) y))

series255.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(/ (sinh y) y)
58.0ms	(sinh y)
109.0ms	(* (cos x) (/ (sinh y) y))

simplify42.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	339	443
1	1326	398
2	5001	396

prune164.0ms

Filtered

83 candidates to 67 candidates (80.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	3	84

Merged error: 0b

Counts

84 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
39×	`sqrt-prod`
38×	`times-frac`
34×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`sqrt-div`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`associate-r/` `pow-prod-down` `prod-exp` `associate-/r` `cbrt-unprod` `associate-/l*`
2×	`sqrt-pow1` `pow1/2`
1×	`cbrt-undiv` `frac-times` `sinh-def` `frac-2neg` `div-exp` `associate-l` `associate-l/` `clear-num` `-commutative` `associate-/l/`

Counts

4 → 120

Calls

4 calls:

4.0ms	(/ (sinh y) y)
3.0ms	(sqrt (/ (sinh y) y))
3.0ms	(sqrt (/ (sinh y) y))
12.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ (sinh y) y)
79.0ms	(sqrt (/ (sinh y) y))
78.0ms	(sqrt (/ (sinh y) y))
114.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify87.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	849	1269
1	3620	1109
2	5002	1062

prune344.0ms

Filtered

132 candidates to 109 candidates (82.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	132	3	135

Merged error: 0b

Counts

135 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(* (cos x) (/ (sinh y) y))
0.2b	(expm1 (log1p (* (cos x) (/ (sinh y) y))))
0.3b	(log1p (* (cos x) (/ (sinh y) y)))

rewrite14.0ms

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

Counts

4 → 86

Calls

4 calls:

4.0ms	(/ (sinh y) y)
7.0ms	(* (cos x) (/ (sinh y) y))
1.0ms	(expm1 (log1p (* (cos x) (/ (sinh y) y))))
1.0ms	(log1p (* (cos x) (/ (sinh y) y)))

series694.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ (sinh y) y)
93.0ms	(* (cos x) (/ (sinh y) y))
289.0ms	(expm1 (log1p (* (cos x) (/ (sinh y) y))))
218.0ms	(log1p (* (cos x) (/ (sinh y) y)))

simplify69.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	600	727
1	2629	661
2	5001	661

prune239.0ms

Filtered

98 candidates to 81 candidates (82.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Merged error: 0b

Counts

101 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos x) (/ (sinh y) y))
0.2b	(exp (log1p (* (cos x) (/ (sinh y) y))))
0.3b	(log1p (* (cos x) (/ (sinh y) y)))
0.3b	(- (exp (log1p (* (cos x) (/ (sinh y) y)))) 1)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
20×	`add-cube-cbrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-exp-log` `prod-diff` `add-cbrt-cube`
7×	`add-log-exp`
6×	`pow1`
5×	`expm1-log1p-u`
4×	`log1p-expm1-u`
3×	`exp-prod` `fma-neg` `associate-l`
2×	`log1p-udef` `prod-exp` `cbrt-unprod` `rem-exp-log` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `expm1-def` `flip3--` `diff-log` `difference-of-sqr-1` `log1p-expm1` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `flip--` `div-inv` `distribute-lft-out--`

Counts

4 → 90

Calls

4 calls:

7.0ms	(* (cos x) (/ (sinh y) y))
2.0ms	(exp (log1p (* (cos x) (/ (sinh y) y))))
1.0ms	(log1p (* (cos x) (/ (sinh y) y)))
5.0ms	(- (exp (log1p (* (cos x) (/ (sinh y) y)))) 1)

series871.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (cos x) (/ (sinh y) y))
239.0ms	(exp (log1p (* (cos x) (/ (sinh y) y))))
224.0ms	(log1p (* (cos x) (/ (sinh y) y)))
318.0ms	(- (exp (log1p (* (cos x) (/ (sinh y) y)))) 1)

simplify71.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	671	993
1	3012	852
2	5002	828

prune213.0ms

Filtered

102 candidates to 75 candidates (73.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	102	3	105

Merged error: 0b

Counts

105 → 3

regimes105.0ms

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	10	9
1	10	9

end0.0ms

sample2.3s

Algorithm

intervals

Results

919.0ms	3068×	body	1280	valid
461.0ms	2466×	body	640	valid
360.0ms	8582×	body	80	valid
158.0ms	1255×	body	320	valid
53.0ms	608×	body	160	valid