Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

278×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (27.0ms)

Iter	Nodes	Cost
0	25	6
1	58	6
2	110	6
3	198	6
4	411	6
5	863	6
6	1229	5
7	1698	5
8	2304	5
9	2508	5
10	2510	5
11	2510	5

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 1.4b

Counts

2 → 2

localize14.0ms

Local error

Found 1 expressions with local error:

1.4b	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series158.0ms

Counts

1 → 3

Calls

1 calls:

158.0ms

(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify69.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (66.0ms)

Iter	Nodes	Cost
0	73	99
1	218	86
2	673	83
3	2358	83
4	5001	79

prune60.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	9	4	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	9	6	15

Merged error: 0.9b

Counts

15 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
9.0b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

236×	`*-un-lft-identity`
200×	`times-frac`
126×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
44×	`distribute-lft-out`
42×	`distribute-lft-out--`
22×	`associate-/r*`
20×	`difference-of-squares`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `div-sub` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-+l-` `flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+`

Counts

2 → 179

Calls

2 calls:

9.0ms	(/ (+ (- t z) 1.0) a)
20.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series177.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (+ (- t z) 1.0) a)
139.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify79.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	639	1777
1	2468	1714
2	5001	1713

prune669.0ms

Filtered

185 candidates to 107 candidates (57.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	182	3	185
Fresh	4	0	4
Picked	0	1	1
Done	0	1	1
Total	186	5	191

Merged error: 0b

Counts

191 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (+ (- t z) 1.0))
0.8b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

103×	`*-un-lft-identity`
53×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip--`

Counts

2 → 106

Calls

2 calls:

12.0ms	(/ (- y z) (+ (- t z) 1.0))
18.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series190.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (- y z) (+ (- t z) 1.0))
136.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify49.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	388	776
1	1314	719
2	5002	715

prune267.0ms

Filtered

112 candidates to 69 candidates (61.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	113	4	117

Merged error: 0b

Counts

117 → 4

localize10.0ms

Local error

Found 1 expressions with local error:

9.6b	(/ (* (- y z) a) (+ (- t z) 1.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
5×	`times-frac` `associate-/r*`
4×	`distribute-lft-out`
3×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `associate-/r/` `associate-/l/` `distribute-lft-out--`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

13.0ms

(/ (* (- y z) a) (+ (- t z) 1.0))

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

(/ (* (- y z) a) (+ (- t z) 1.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	235	225
1	1037	189
2	5002	187

prune87.0ms

Filtered

34 candidates to 23 candidates (67.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	34	4	38

Merged error: 0b

Counts

38 → 4

regimes163.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample567.0ms

Algorithm

intervals

Results

305.0ms

8486×

body

valid