Details

sample64.0ms

Algorithm

intervals

Results

17.0ms	57×	body	1280	valid
14.0ms	336×	body	80	valid
14.0ms	71×	body	640	valid
4.0ms	30×	body	320	valid
2.0ms	17×	body	160	valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	32	4
2	68	4
3	144	4
4	278	4
5	517	4
6	1455	4
7	5002	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: 16.4b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
16.3b	(/ (* (sin x) (sinh y)) x)

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×	`sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `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 → 49

Calls

3 calls:

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

series261.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(sinh y)
91.0ms	(* (sin x) (sinh y))
104.0ms	(/ (* (sin x) (sinh y)) x)

simplify45.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	280	320
1	1233	272
2	5001	255

prune139.0ms

Filtered

58 candidates to 43 candidates (74.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	53	5	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	6	59

Merged error: 0.0b

Counts

59 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

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×	`associate-l` `associate-/r` `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 → 68

Calls

3 calls:

4.0ms	(/ (sinh y) x)
1.0ms	(sinh y)
8.0ms	(* (sin x) (/ (sinh y) x))

series268.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(/ (sinh y) x)
70.0ms	(sinh y)
117.0ms	(* (sin x) (/ (sinh y) x))

simplify49.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	328	433
1	1261	387
2	5001	385

prune165.0ms

Filtered

77 candidates to 59 candidates (76.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	77	6	83

Merged error: 0.0b

Counts

83 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
19×	`add-sqr-sqrt`
17×	`add-cbrt-cube`
14×	`associate-r`
13×	`*-un-lft-identity` `prod-exp`
12×	`add-cube-cbrt`
11×	`times-frac`
10×	`pow1`
7×	`cbrt-unprod`
6×	`associate-r/` `associate-l*`
5×	`sinh-def`
4×	`div-exp` `pow-prod-down`
3×	`add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-l/` `un-div-inv` `-commutative`
1×	`div-inv`

Counts

3 → 72

Calls

3 calls:

1.0ms	(sinh y)
8.0ms	(* (sin x) (* (sinh y) (/ 1 x)))
8.0ms	(* (sinh y) (/ 1 x))

series248.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(sinh y)
102.0ms	(* (sin x) (* (sinh y) (/ 1 x)))
81.0ms	(* (sinh y) (/ 1 x))

simplify54.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	407	464
1	1555	379
2	5002	334

prune153.0ms

Filtered

81 candidates to 55 candidates (67.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	80	7	87

Merged error: 0b

Counts

87 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
0.4b	(/ (sin x) (/ x (sinh y)))

rewrite16.0ms

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` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 110

Calls

3 calls:

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

series313.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(sinh y)
131.0ms	(/ x (sinh y))
108.0ms	(/ (sin x) (/ x (sinh y)))

simplify68.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	475	938
1	1984	886
2	5001	865

prune268.0ms

Filtered

119 candidates to 99 candidates (83.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	1	2	3
Picked	0	1	1
Done	1	2	3
Total	120	6	126

Merged error: 0b

Counts

126 → 6

regimes105.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample2.0s

Algorithm

intervals

Results

603.0ms	1873×	body	1280	valid
448.0ms	10223×	body	80	valid
390.0ms	1949×	body	640	valid
155.0ms	1090×	body	320	valid
56.0ms	600×	body	160	valid