Details

sample44.0ms

Algorithm

intervals

Results

24.0ms

729×

body

valid

simplify52.0ms

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	224	4
4	401	4
5	758	4
6	2403	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: 6.3b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
5.9b	(/ (* (cosh x) (/ y x)) z)

rewrite15.0ms

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×	`frac-times` `associate-r/` `associate-l/` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l`

Counts

2 → 60

Calls

2 calls:

7.0ms	(* (cosh x) (/ y x))
6.0ms	(/ (* (cosh x) (/ y x)) z)

series198.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* (cosh x) (/ y x))
124.0ms	(/ (* (cosh x) (/ y x)) z)

simplify42.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	345	374
1	1456	317
2	5001	317

prune132.0ms

Filtered

66 candidates to 49 candidates (74.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	56	10	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	10	67

Merged error: 0.0b

Counts

67 → 10

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
5.9b	(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
28×	`add-cbrt-cube`
26×	`associate-r`
22×	`add-sqr-sqrt` `prod-exp`
19×	`times-frac`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-unprod`
11×	`div-exp`
9×	`pow1`
6×	`cbrt-undiv` `frac-times` `cosh-def` `associate-*l/`
4×	`associate-r/` `associate-l*` `pow-prod-down`
3×	`rec-exp` `1-exp`
2×	`*-commutative` `div-inv` `add-log-exp` `unswap-sqr`
1×	`un-div-inv`

Counts

2 → 84

Calls

2 calls:

6.0ms	(* (cosh x) (/ y x))
9.0ms	(* (* (cosh x) (/ y x)) (/ 1 z))

series177.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(* (cosh x) (/ y x))
104.0ms	(* (* (cosh x) (/ y x)) (/ 1 z))

simplify57.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	515	578
1	2463	472
2	5002	459

prune138.0ms

Filtered

90 candidates to 56 candidates (62.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	92	8	100

Merged error: 0.0b

Counts

100 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (cosh x) (/ z (/ y x)))
5.9b	(/ z (/ y x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

471×	`times-frac`
229×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
57×	`associate-/r*`
22×	`div-inv`
16×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
6×	`associate-/r/` `associate-/l*`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`cosh-def` `associate-/l/`

Counts

2 → 267

Calls

2 calls:

15.0ms	(/ (cosh x) (/ z (/ y x)))
5.0ms	(/ z (/ y x))

series174.0ms

Counts

2 → 6

Calls

2 calls:

157.0ms	(/ (cosh x) (/ z (/ y x)))
17.0ms	(/ z (/ y x))

simplify87.0ms

Algorithm

egg-herbie

Counts

273 → 273

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	1119	2717
1	5001	2614

prune629.0ms

Filtered

273 candidates to 233 candidates (85.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	271	2	273
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	274	7	281

Merged error: 0b

Counts

281 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`cosh-def` `frac-2neg` `associate-*l/` `clear-num` `associate-/l/`
1×	`pow-prod-down` `*-commutative` `unswap-sqr`

Counts

3 → 89

Calls

3 calls:

5.0ms	(/ (* (cosh x) y) z)
4.0ms	(* (cosh x) y)
6.0ms	(/ (/ (* (cosh x) y) z) x)

series256.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(/ (* (cosh x) y) z)
68.0ms	(* (cosh x) y)
107.0ms	(/ (/ (* (cosh x) y) z) x)

simplify61.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	425	595
1	1824	526
2	5001	510

prune156.0ms

Filtered

98 candidates to 72 candidates (73.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	98	7	105

Merged error: 0b

Counts

105 → 7

regimes155.0ms

Accuracy

95.8% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 7.8b

bsearch72.0ms

Steps

Iters	Range		Point
8	0.00010291198111895754	0.27823613708441386	0.0001246191949500098
7	-2.028192661566061e-39	-6.323046583414786e-41	-1.539996659192176e-39

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	12
1	23	12

end0.0ms

sample1.1s

Algorithm

intervals

Results

604.0ms

22439×

body

valid