Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

306×

body

valid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 10 (93.0ms)

Iter	Nodes	Cost
0	11	4
1	20	4
2	36	4
3	58	4
4	78	4
5	101	4
6	138	4
7	225	4
8	510	4
9	1682	4
10	5001	3

prune7.0ms

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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (- 1 y) (/ x z) y)

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 (- 1 y) (/ x z) y)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(fma (- 1 y) (/ x z) y)

simplify60.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	38	66
1	82	59
2	256	53
3	1313	53
4	5001	53

prune45.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (- z x)))
0.0b	(* y (- z x))
11.4b	(/ (+ x (* y (- z x))) z)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
36×	`prod-diff`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
15×	`times-frac`
10×	`distribute-lft-out`
8×	`associate-l`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `associate-/l*` `add-log-exp`
4×	`sub-neg`
3×	`expm1-log1p-u` `fma-def` `associate-/r*` `log1p-expm1-u`
2×	`flip3-+` `associate-*r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 125

Calls

3 calls:

11.0ms	(+ x (* y (- z x)))
8.0ms	(* y (- z x))
15.0ms	(/ (+ x (* y (- z x))) z)

series139.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ x (* y (- z x)))
42.0ms	(* y (- z x))
58.0ms	(/ (+ x (* y (- z x))) z)

simplify78.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	379	896
1	1526	638
2	5002	629

prune279.0ms

Filtered

134 candidates to 80 candidates (59.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	134	4	138

Merged error: 0.0b

Counts

138 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma y (- z x) x)
0.2b	(/ 1 (/ z (fma y (- z x) x)))
11.4b	(/ z (fma y (- z x) x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
56×	`*-un-lft-identity`
55×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
16×	`add-exp-log`
10×	`add-cbrt-cube` `associate-/l*`
9×	`associate-/r/`
8×	`div-exp`
6×	`div-inv`
4×	`pow1` `cbrt-undiv` `clear-num`
3×	`expm1-log1p-u` `frac-2neg` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `1-exp` `remove-double-div`
1×	`pow-flip` `fma-udef` `inv-pow`

Counts

3 → 127

Calls

3 calls:

1.0ms	(fma y (- z x) x)
8.0ms	(/ 1 (/ z (fma y (- z x) x)))
4.0ms	(/ z (fma y (- z x) x))

series154.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(fma y (- z x) x)
43.0ms	(/ 1 (/ z (fma y (- z x) x)))
76.0ms	(/ z (fma y (- z x) x))

simplify69.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	348	961
1	1495	852
2	5001	775

prune262.0ms

Filtered

136 candidates to 77 candidates (56.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	136	4	140

Merged error: 0.0b

Counts

140 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ z (sqrt (fma y (- z x) x)))
0.2b	(/ (/ z (sqrt (fma y (- z x) x))) (sqrt (fma y (- z x) x)))
5.2b	(sqrt (fma y (- z x) x))
5.2b	(sqrt (fma y (- z x) x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
163×	`add-sqr-sqrt`
161×	`add-cube-cbrt` `*-un-lft-identity`
153×	`sqrt-prod`
28×	`associate-/l*`
18×	`associate-/r*`
12×	`associate-/l/`
11×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 259

Calls

4 calls:

4.0ms	(/ z (sqrt (fma y (- z x) x)))
12.0ms	(/ (/ z (sqrt (fma y (- z x) x))) (sqrt (fma y (- z x) x)))
2.0ms	(sqrt (fma y (- z x) x))
2.0ms	(sqrt (fma y (- z x) x))

series339.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(/ z (sqrt (fma y (- z x) x)))
69.0ms	(/ (/ z (sqrt (fma y (- z x) x))) (sqrt (fma y (- z x) x)))
80.0ms	(sqrt (fma y (- z x) x))
82.0ms	(sqrt (fma y (- z x) x))

simplify99.0ms

Algorithm

egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	635	3538
1	2191	3170
2	5002	3107

prune571.0ms

Filtered

271 candidates to 141 candidates (52.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	271	0	271
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	271	4	275

Merged error: 0.0b

Counts

275 → 4

regimes89.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample465.0ms

Algorithm

intervals

Results

251.0ms

10135×

body

valid