Details

sample39.0ms

Algorithm

intervals

Results

20.0ms

729×

body

valid

simplify58.0ms

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: 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)

rewrite16.0ms

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

series189.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* (cosh x) (/ y x))
115.0ms	(/ (* (cosh x) (/ y x)) z)

simplify45.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (10.0ms)

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

prune158.0ms

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

rewrite21.0ms

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×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`un-div-inv`

Counts

2 → 88

Calls

2 calls:

7.0ms	(* (cosh x) (/ y x))
10.0ms	(* (* (cosh x) (/ y x)) (/ 1 z))

series191.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* (cosh x) (/ y x))
115.0ms	(* (* (cosh x) (/ y x)) (/ 1 z))

simplify67.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	522	597
1	2479	490
2	5001	477

prune175.0ms

Filtered

94 candidates to 61 candidates (64.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	95	8	103

Merged error: 0.0b

Counts

103 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`cosh-def` `associate-/l/`

Counts

2 → 271

Calls

2 calls:

14.0ms	(/ (cosh x) (/ z (/ y x)))
6.0ms	(/ z (/ y x))

series158.0ms

Counts

2 → 6

Calls

2 calls:

139.0ms	(/ (cosh x) (/ z (/ y x)))
19.0ms	(/ z (/ y x))

simplify60.0ms

Algorithm

egg-herbie

Counts

277 → 277

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1126	2732
1	5002	2629

prune731.0ms

Filtered

277 candidates to 238 candidates (85.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	275	2	277
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	278	7	285

Merged error: 0b

Counts

285 → 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)

rewrite19.0ms

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

series268.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(/ (* (cosh x) y) z)
69.0ms	(* (cosh x) y)
113.0ms	(/ (/ (* (cosh x) y) z) x)

simplify57.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (49.0ms)

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

prune196.0ms

Filtered

104 candidates to 80 candidates (76.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	104	7	111

Merged error: 0b

Counts

111 → 7

regimes183.0ms

Accuracy

95.8% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 7.6b

bsearch79.0ms

Steps

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

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	12
1	23	12

end0.0ms

sample1.1s

Algorithm

intervals

Results

613.0ms

22439×

body

valid