Details

sample31.0ms

Algorithm

intervals

Results

15.0ms

318×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	4
1	44	4
2	114	4
3	220	4
4	354	4
5	550	4
6	1669	4
7	5001	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: 8.9b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
8.3b	(/ (* x (+ (- y z) 1.0)) z)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `distribute-lft-out` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 47

Calls

2 calls:

9.0ms	(* x (+ (- y z) 1.0))
9.0ms	(/ (* x (+ (- y z) 1.0)) z)

series70.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* x (+ (- y z) 1.0))
41.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify35.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	254	285
1	1225	238
2	5001	238

prune81.0ms

Filtered

53 candidates to 35 candidates (66.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	47	6	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	6	54

Merged error: 0.0b

Counts

54 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
2.6b	(/ x (/ z (+ (- y z) 1.0)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
138×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`distribute-lft-out`
26×	`associate-/r*`
16×	`distribute-lft-out--`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

7.0ms	(/ z (+ (- y z) 1.0))
11.0ms	(/ x (/ z (+ (- y z) 1.0)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ z (+ (- y z) 1.0))
42.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	455	1177
1	2110	1129
2	5002	1126

prune202.0ms

Filtered

145 candidates to 93 candidates (64.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	146	5	151

Merged error: 0b

Counts

151 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- y z) 1.0) z)
3.0b	(* x (/ (+ (- y z) 1.0) z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
31×	`times-frac`
27×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
19×	`associate-r`
14×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`associate-+l-` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip-+`

Counts

2 → 76

Calls

2 calls:

8.0ms	(/ (+ (- y z) 1.0) z)
12.0ms	(* x (/ (+ (- y z) 1.0) z))

series64.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (+ (- y z) 1.0) z)
38.0ms	(* x (/ (+ (- y z) 1.0) z))

simplify36.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	267	479
1	1167	438
2	5001	432

prune96.0ms

Filtered

82 candidates to 49 candidates (59.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	82	5	87

Merged error: 0b

Counts

87 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
8.5b	(* (* x (+ (- y z) 1.0)) (/ 1 z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`associate-r`
16×	`*-un-lft-identity` `add-cbrt-cube`
13×	`add-sqr-sqrt` `prod-exp`
11×	`add-cube-cbrt`
9×	`pow1` `times-frac`
7×	`associate-*r/` `cbrt-unprod`
4×	`div-exp` `associate-l` `pow-prod-down`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-l/` `-commutative` `distribute-lft-out` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `un-div-inv` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 66

Calls

2 calls:

9.0ms	(* x (+ (- y z) 1.0))
13.0ms	(* (* x (+ (- y z) 1.0)) (/ 1 z))

series70.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* x (+ (- y z) 1.0))
38.0ms	(* (* x (+ (- y z) 1.0)) (/ 1 z))

simplify51.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	397	447
1	2128	364
2	5001	351

prune81.0ms

Filtered

72 candidates to 41 candidates (56.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	72	5	77

Merged error: 0b

Counts

77 → 5

regimes85.0ms

Accuracy

95.5% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.1b

bsearch58.0ms

Steps

Iters	Range		Point
5	58799743.69495726	148917107.89659858	77529046.77443498
9	-3.3083011695310274e+34	-4.866441541213765e+29	-1.4853295995609971e+32

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	12
1	21	12

end0.0ms

sample501.0ms

Algorithm

intervals

Results

293.0ms

10107×

body

valid