Details

sample39.0ms

Algorithm

intervals

Results

20.0ms

760×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	4
1	41	4
2	102	4
3	228	4
4	411	4
5	786	4
6	2469	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: 7.8b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
7.3b	(/ (* (cosh x) (/ y x)) z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

6.0ms	(* (cosh x) (/ y x))
6.0ms	(/ (* (cosh x) (/ y x)) z)

series179.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(* (cosh x) (/ y x))
106.0ms	(/ (* (cosh x) (/ y x)) z)

simplify41.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	352	391
1	1472	333
2	5001	333

prune140.0ms

Filtered

70 candidates to 53 candidates (75.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	63	7	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	8	71

Merged error: 0.0b

Counts

71 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) y)
7.3b	(/ (* (cosh x) y) (* z x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

4.0ms	(* (cosh x) y)
6.0ms	(/ (* (cosh x) y) (* z x))

series171.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(* (cosh x) y)
106.0ms	(/ (* (cosh x) y) (* z x))

simplify39.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	289	272
1	1392	217
2	5001	215

prune91.0ms

Filtered

51 candidates to 36 candidates (70.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	2	4	6
Picked	1	0	1
Done	1	0	1
Total	51	8	59

Merged error: 0.0b

Counts

59 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) y)
0.0b	(/ (* (cosh x) y) z)
6.8b	(/ (/ (* (cosh x) y) z) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

4.0ms	(* (cosh x) y)
5.0ms	(/ (* (cosh x) y) z)
9.0ms	(/ (/ (* (cosh x) y) z) x)

series249.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(* (cosh x) y)
77.0ms	(/ (* (cosh x) y) z)
108.0ms	(/ (/ (* (cosh x) y) z) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	435	617
1	1846	547
2	5001	545

prune183.0ms

Filtered

104 candidates to 80 candidates (76.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	104	8	112

Merged error: 0b

Counts

112 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) y)
0.0b	(/ (* (cosh x) y) z)
6.9b	(* (/ (* (cosh x) y) z) (/ 1 x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 101

Calls

3 calls:

4.0ms	(* (cosh x) y)
5.0ms	(/ (* (cosh x) y) z)
10.0ms	(* (/ (* (cosh x) y) z) (/ 1 x))

series249.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(* (cosh x) y)
78.0ms	(/ (* (cosh x) y) z)
107.0ms	(* (/ (* (cosh x) y) z) (/ 1 x))

simplify63.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	533	660
1	2580	541
2	5001	522

prune156.0ms

Filtered

110 candidates to 74 candidates (67.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	110	8	118

Merged error: 0b

Counts

118 → 8

regimes132.0ms

Accuracy

93.2% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 7.0b

bsearch41.0ms

Steps

Iters	Range		Point
4	3.7841413586464293e+56	6.791473025719422e+56	3.83330352885023e+56
4	-5.439321056623575e-48	-3.058689600048372e-48	-5.3649263236056e-48

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	9
1	27	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

642.0ms

22264×

body

valid