Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

330×

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: 10.7b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
9.9b	(/ (* 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:

8.0ms	(* x (+ (- y z) 1.0))
9.0ms	(/ (* x (+ (- y z) 1.0)) z)

series71.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify37.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (8.0ms)

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

prune96.0ms

Filtered

53 candidates to 35 candidates (66.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	45	8	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	8	54

Merged error: 0.0b

Counts

54 → 8

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

series86.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify63.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (46.0ms)

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

prune216.0ms

Filtered

145 candidates to 94 candidates (64.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	147	6	153

Merged error: 0b

Counts

153 → 6

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)))
3.0b	(/ x (* z (/ 1 (+ (- y z) 1.0))))

rewrite36.0ms

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)))
11.0ms	(/ x (* z (/ 1 (+ (- y z) 1.0))))

series138.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ 1 (+ (- y z) 1.0))
47.0ms	(* z (/ 1 (+ (- y z) 1.0)))
43.0ms	(/ x (* z (/ 1 (+ (- y z) 1.0))))

simplify56.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (47.0ms)

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

prune133.0ms

Filtered

121 candidates to 63 candidates (52.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	121	6	127

Merged error: 0b

Counts

127 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)
7.1b	(* (/ x (* (cbrt z) (cbrt z))) (/ (+ (- y z) 1.0) (cbrt z)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
42×	`add-sqr-sqrt`
40×	`times-frac`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
12×	`distribute-lft-out`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

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

series603.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt z)
175.0ms	(cbrt z)
175.0ms	(cbrt z)
74.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (+ (- y z) 1.0) (cbrt z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	464	976
1	2510	786
2	5001	751

prune230.0ms

Filtered

116 candidates to 83 candidates (71.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	116	6	122

Merged error: 0b

Counts

122 → 6

regimes90.0ms

Accuracy

85.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.0b

bsearch70.0ms

Steps

Iters	Range		Point
9	4.579929683924865e-155	6.108084254765978e-147	5.976149083268064e-147
6	-5885.016217463414	-429.07278163176255	-692.1305138115428

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	9
1	25	9

end0.0ms

sample509.0ms

Algorithm

intervals

Results

296.0ms

10010×

body

valid