Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

324×

body

valid

simplify66.0ms

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: 9.7b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
9.1b	(/ (* 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)

series69.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* x (+ (- y z) 1.0))
40.0ms	(/ (* 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

prune82.0ms

Filtered

53 candidates to 35 candidates (66.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	47	6	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	7	54

Merged error: 0.0b

Counts

54 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
3.2b	(/ x (/ z (+ (- y z) 1.0)))

rewrite27.0ms

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:

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

series87.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ 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 (46.0ms)

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

prune207.0ms

Filtered

145 candidates to 93 candidates (64.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	2	3	5
Picked	0	1	1
Done	1	0	1
Total	145	7	152

Merged error: 0b

Counts

152 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ (- y z) 1.0))
0.1b	(* z (/ 1 (+ (- y z) 1.0)))
3.2b	(/ x (* z (/ 1 (+ (- y z) 1.0))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
35×	`times-frac`
32×	`add-sqr-sqrt`
31×	`add-exp-log`
25×	`add-cube-cbrt`
21×	`associate-r`
19×	`add-cbrt-cube`
14×	`distribute-lft-out`
11×	`div-exp`
8×	`prod-exp`
7×	`distribute-lft-out--`
6×	`pow1` `cbrt-undiv` `associate-/r` `associate-/r/` `associate-/l`
4×	`cbrt-unprod`
3×	`rec-exp` `1-exp` `associate-l` `div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `flip3-+` `associate-*r/` `clear-num` `un-div-inv` `flip-+`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

3 → 112

Calls

3 calls:

8.0ms	(/ 1 (+ (- y z) 1.0))
13.0ms	(* z (/ 1 (+ (- y z) 1.0)))
12.0ms	(/ x (* z (/ 1 (+ (- y z) 1.0))))

series123.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1 (+ (- y z) 1.0))
43.0ms	(* z (/ 1 (+ (- y z) 1.0)))
42.0ms	(/ x (* z (/ 1 (+ (- y z) 1.0))))

simplify49.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	377	685
1	1729	569
2	5003	517

prune125.0ms

Filtered

121 candidates to 62 candidates (51.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	121	7	128

Merged error: 0b

Counts

128 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- y z) 1.0) z)
3.4b	(* x (/ (+ (- y z) 1.0) z))

rewrite24.0ms

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:

9.0ms	(/ (+ (- y z) 1.0) z)
12.0ms	(* x (/ (+ (- y z) 1.0) z))

series64.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ (+ (- y z) 1.0) z)
40.0ms	(* x (/ (+ (- y z) 1.0) z))

simplify36.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (29.0ms)

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

prune94.0ms

Filtered

82 candidates to 49 candidates (59.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	82	7	89

Merged error: 0b

Counts

89 → 7

regimes95.0ms

Accuracy

96.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.9b

bsearch73.0ms

Steps

Iters	Range		Point
7	1.5775858763663863e-30	5.416980727648667e-29	5.316931157807296e-29
11	-0.1948919490089863	-8.164266256805265e-24	-2.1306842356386806e-13

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	8
1	22	8

end0.0ms

sample549.0ms

Algorithm

intervals

Results

323.0ms

10110×

body

valid