Details

sample33.0ms

Algorithm

intervals

Results

17.0ms

653×

body

valid

simplify50.0ms

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	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: 5.5b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ y x))
5.2b	(/ (* (cosh x) (/ y x)) z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

1.0ms	(cosh x)
7.0ms	(* (cosh x) (/ y x))
6.0ms	(/ (* (cosh x) (/ y x)) z)

series233.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(cosh x)
76.0ms	(* (cosh x) (/ y x))
109.0ms	(/ (* (cosh x) (/ y x)) z)

simplify45.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	372	414
1	1616	354
2	5001	354

prune208.0ms

Filtered

77 candidates to 59 candidates (76.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	68	9	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	9	78

Merged error: 0.0b

Counts

78 → 9

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ y x))
5.3b	(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 92

Calls

3 calls:

1.0ms	(cosh x)
8.0ms	(* (cosh x) (/ y x))
17.0ms	(* (* (cosh x) (/ y x)) (/ 1 z))

series335.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(cosh x)
123.0ms	(* (cosh x) (/ y x))
132.0ms	(* (* (cosh x) (/ y x)) (/ 1 z))

simplify94.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	542	618
1	2692	509
2	5001	471

prune158.0ms

Filtered

101 candidates to 65 candidates (64.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	102	8	110

Merged error: 0.0b

Counts

110 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.4b	(/ (cosh x) (/ z (/ y x)))
5.2b	(/ z (/ y x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 275

Calls

3 calls:

1.0ms	(cosh x)
15.0ms	(/ (cosh x) (/ z (/ y x)))
6.0ms	(/ z (/ y x))

series205.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(cosh x)
142.0ms	(/ (cosh x) (/ z (/ y x)))
19.0ms	(/ z (/ y x))

simplify63.0ms

Algorithm

egg-herbie

Counts

284 → 284

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1147	2757
1	5002	2651

prune637.0ms

Filtered

284 candidates to 244 candidates (85.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	280	4	284
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	284	8	292

Merged error: 0b

Counts

292 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1/2 (* x y))
0.0b	(+ (/ y x) (* 1/2 (* x y)))
5.2b	(/ (+ (/ y x) (* 1/2 (* x y))) z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`times-frac`
8×	`pow1`
5×	`add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `associate-/r` `cbrt-unprod` `associate-/l`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `associate-r` `clear-num` `sum-log` `*-commutative` `div-inv`

Counts

3 → 58

Calls

3 calls:

5.0ms	(* 1/2 (* x y))
6.0ms	(+ (/ y x) (* 1/2 (* x y)))
9.0ms	(/ (+ (/ y x) (* 1/2 (* x y))) z)

series117.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* 1/2 (* x y))
45.0ms	(+ (/ y x) (* 1/2 (* x y)))
54.0ms	(/ (+ (/ y x) (* 1/2 (* x y))) z)

simplify107.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	255	441
1	889	404
2	3563	404
3	5002	404

prune97.0ms

Filtered

67 candidates to 47 candidates (70.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	67	8	75

Merged error: 0b

Counts

75 → 8

regimes160.0ms

Accuracy

91.7% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 7.9b

bsearch93.0ms

Steps

Iters	Range		Point
9	3.3025596874127677e-87	4.0593830797918603e-81	4.0176201989071675e-81
9	-2.9530360727113156e+37	-3.7579536602249428e+28	-7.319425197979298e+28

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	8
1	21	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

599.0ms

22448×

body

valid