Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

325×

body

valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 11.9b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
11.2b	(/ (* x (+ (- y z) 1.0)) z)

rewrite18.0ms

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:

8.0ms	(* 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)

simplify34.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (7.0ms)

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: 0b

Counts

54 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
3.0b	(/ 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))
10.0ms	(/ x (/ z (+ (- y z) 1.0)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ z (+ (- y z) 1.0))
43.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (45.0ms)

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

prune208.0ms

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)
3.1b	(* x (/ (+ (- y z) 1.0) z))

rewrite22.0ms

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

series67.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (+ (- y z) 1.0) z)
42.0ms	(* x (/ (+ (- y z) 1.0) z))

simplify38.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (31.0ms)

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

prune111.0ms

Filtered

82 candidates to 50 candidates (61.0%)

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

localize6.0ms

Local error

Found 1 expressions with local error:

9.7b	(* (/ x z) (+ (- y z) 1.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 40

Calls

1 calls:

11.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify36.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	334	267
1	1328	239
2	5001	233

prune62.0ms

Filtered

43 candidates to 30 candidates (69.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	44	4	48

Merged error: 0b

Counts

48 → 4

regimes60.0ms

Accuracy

15.9% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.6b

bsearch65.0ms

Steps

Iters	Range		Point
8	1.6950301408918293e-267	4.713144350555264e-265	4.5156620335976036e-265
8	-1.2174579594918508e-195	-5.080174011508833e-200	-1.193248155890783e-195

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	13
1	28	13

end0.0ms

sample496.0ms

Algorithm

intervals

Results

292.0ms

10120×

body

valid