Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

312×

body

valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 10 (71.0ms)

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

prune6.0ms

Filtered

1 candidates to 1 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: 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)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify50.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	38	66
1	82	59
2	256	53
3	1312	53
4	5003	53

prune24.0ms

Filtered

13 candidates to 10 candidates (23.1%)

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
0.5b	(cbrt (fma (- 1 y) (/ x z) y))
0.5b	(cbrt (fma (- 1 y) (/ x z) y))
0.5b	(cbrt (fma (- 1 y) (/ x z) y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

5.0ms	(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
1.0ms	(cbrt (fma (- 1 y) (/ x z) y))
1.0ms	(cbrt (fma (- 1 y) (/ x z) y))
1.0ms	(cbrt (fma (- 1 y) (/ x z) y))

series534.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
129.0ms	(cbrt (fma (- 1 y) (/ x z) y))
120.0ms	(cbrt (fma (- 1 y) (/ x z) y))
123.0ms	(cbrt (fma (- 1 y) (/ x z) y))

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	323	1204
1	1160	1111
2	5002	1023

prune197.0ms

Filtered

96 candidates to 72 candidates (25.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	96	4	100

Merged error: 0.0b

Counts

100 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (- z x)))
0.0b	(* y (- z x))
10.0b	(/ (+ x (* y (- z x))) z)

rewrite38.0ms

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:

10.0ms	(+ x (* y (- z x)))
7.0ms	(* y (- z x))
16.0ms	(/ (+ x (* y (- z x))) z)

series114.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ x (* y (- z x)))
39.0ms	(* y (- z x))
46.0ms	(/ (+ x (* y (- z x))) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	375	896
1	1501	638
2	5002	629

prune158.0ms

Filtered

134 candidates to 80 candidates (40.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	132	2	134
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	133	5	138

Merged error: 0.0b

Counts

138 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma y (- z x) x)
0.2b	(/ 1 (/ z (fma y (- z x) x)))
10.0b	(/ z (fma y (- z x) x))

rewrite15.0ms

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)
7.0ms	(/ 1 (/ z (fma y (- z x) x)))
3.0ms	(/ z (fma y (- z x) x))

series126.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(fma y (- z x) x)
35.0ms	(/ 1 (/ z (fma y (- z x) x)))
64.0ms	(/ z (fma y (- z x) x))

simplify49.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (38.0ms)

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

prune139.0ms

Filtered

136 candidates to 77 candidates (43.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	136	5	141

Merged error: 0.0b

Counts

141 → 5

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample445.0ms

Algorithm

intervals

Results

240.0ms

10115×

body

valid