Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

333×

body

valid

simplify67.0ms

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: 11.9b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

series72.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* x (+ (- y z) 1.0))
38.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify38.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (9.0ms)

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

prune93.0ms

Filtered

53 candidates to 35 candidates (66.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	49	4	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	5	54

Merged error: 0.0b

Counts

54 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
1.6b	(/ 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)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ z (+ (- y z) 1.0))
40.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify62.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (47.0ms)

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

prune262.0ms

Filtered

145 candidates to 93 candidates (64.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	146	4	150

Merged error: 0b

Counts

150 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- y z) 1.0) z)
1.8b	(* 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)
11.0ms	(* x (/ (+ (- y z) 1.0) z))

series67.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ (+ (- y z) 1.0) z)
42.0ms	(* x (/ (+ (- y z) 1.0) z))

simplify39.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (32.0ms)

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

prune123.0ms

Filtered

82 candidates to 48 candidates (58.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	82	4	86

Merged error: 0b

Counts

86 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ (- y z) 1.0))
7.6b	(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac`
522×	`*-un-lft-identity`
292×	`add-sqr-sqrt` `add-cube-cbrt`
92×	`distribute-lft-out`
46×	`distribute-lft-out--`
38×	`div-inv`
31×	`associate-/r/`
28×	`add-exp-log`
26×	`associate-/r*`
18×	`div-exp`
16×	`add-cbrt-cube` `associate-/l*`
15×	`flip3-+` `flip-+`
9×	`cbrt-undiv`
3×	`pow1` `rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

2 → 372

Calls

2 calls:

7.0ms	(/ 1 (+ (- y z) 1.0))
18.0ms	(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ 1 (+ (- y z) 1.0))
46.0ms	(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

simplify78.0ms

Algorithm

egg-herbie

Counts

378 → 378

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1415	4509
1	5001	4046

prune502.0ms

Filtered

378 candidates to 176 candidates (46.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	378	0	378
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	378	4	382

Merged error: 0b

Counts

382 → 4

regimes96.0ms

Accuracy

97.3% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.7b

bsearch67.0ms

Steps

Iters	Range		Point
8	5.453812542321354e-21	2.033804478772488e-16	5.10680315044327e-17
9	-1.3140900587763538e+31	-1.9571091416283284e+25	-1.9935355709756488e+25

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	9
1	25	9

end0.0ms

sample471.0ms

Algorithm

intervals

Results

256.0ms

10175×

body

valid