Details

sample43.0ms

Algorithm

intervals

Results

24.0ms

753×

body

valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 8.5b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
8.0b	(/ (* (cosh x) (/ y x)) z)

rewrite18.0ms

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:

7.0ms	(* (cosh x) (/ y x))
9.0ms	(/ (* (cosh x) (/ y x)) z)

series185.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* (cosh x) (/ y x))
109.0ms	(/ (* (cosh x) (/ y x)) z)

simplify42.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (10.0ms)

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

prune143.0ms

Filtered

70 candidates to 53 candidates (75.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	61	9	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	9	71

Merged error: 0.0b

Counts

71 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) y)
7.4b	(/ (* (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))

series176.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(* (cosh x) y)
109.0ms	(/ (* (cosh x) y) (* z x))

simplify41.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (37.0ms)

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

prune93.0ms

Filtered

51 candidates to 35 candidates (68.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	51	9	60

Merged error: 0.0b

Counts

60 → 9

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* (cosh x) y) z)
0.0b	(* (cosh x) y)
6.2b	(/ (/ (* (cosh x) y) z) x)

rewrite21.0ms

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:

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

series258.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(/ (* (cosh x) y) z)
67.0ms	(* (cosh x) y)
110.0ms	(/ (/ (* (cosh x) y) z) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (47.0ms)

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 (7 fresh and 1 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	105	8	113

Merged error: 0.0b

Counts

113 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ (cosh x) (/ (* z x) y))
7.4b	(/ (* z x) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`div-inv`
4×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cosh-def` `associate-/r/` `associate-/l/`

Counts

2 → 74

Calls

2 calls:

7.0ms	(/ (cosh x) (/ (* z x) y))
5.0ms	(/ (* z x) y)

series163.0ms

Counts

2 → 6

Calls

2 calls:

145.0ms	(/ (cosh x) (/ (* z x) y))
19.0ms	(/ (* z x) y)

simplify47.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	361	505
1	1611	453
2	5002	448

prune135.0ms

Filtered

80 candidates to 61 candidates (76.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	80	8	88

Merged error: 0b

Counts

88 → 8

regimes119.0ms

Accuracy

88.5% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 7.0b

bsearch100.0ms

Steps

Iters	Range		Point
8	2.4431419424578913e-40	7.561067180919249e-38	2.8440811230888348e-39
10	-3.0536745597595692e+88	-8.575053284737831e+73	-1.4661454377414907e+74

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	9
1	25	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

730.0ms

22384×

body

valid