Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

321×

body

valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	22	6
1	50	6
2	124	4
3	280	4
4	534	4
5	869	4
6	1397	4
7	3521	4
8	5001	4

prune6.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ x (* y 0.75)) z)
0.0b	(+ x (* y 0.75))
0.0b	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
0.1b	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
13×	`add-log-exp`
9×	`add-exp-log` `prod-diff` `add-cbrt-cube`
6×	`fma-def`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`times-frac` `fma-neg` `associate-/r*` `sum-log`
2×	`cbrt-undiv` `+-commutative` `flip3--` `flip3-+` `diff-log` `associate-*r/` `div-exp` `flip--` `flip-+` `associate-/l/`
1×	`sub-neg` `frac-2neg` `prod-exp` `associate--l+` `clear-num` `cbrt-unprod` `div-inv` `distribute-lft-out` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 88

Calls

4 calls:

6.0ms	(- (+ x (* y 0.75)) z)
3.0ms	(+ x (* y 0.75))
5.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
9.0ms	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

series112.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (+ x (* y 0.75)) z)
24.0ms	(+ x (* y 0.75))
30.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
36.0ms	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

simplify46.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	419	659
1	1695	507
2	5001	488

prune218.0ms

Filtered

100 candidates to 75 candidates (75.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	100	2	102

Merged error: 0b

Counts

102 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))
0.0b	(* 4.0 (/ z y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `fma-udef` `div-inv`

Counts

2 → 44

Calls

2 calls:

1.0ms	(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))
6.0ms	(* 4.0 (/ z y))

series43.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))
18.0ms	(* 4.0 (/ z y))

simplify82.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	192	228
1	847	202
2	3740	202
3	5001	199

prune144.0ms

Filtered

50 candidates to 37 candidates (74.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	50	2	52

Merged error: 0b

Counts

52 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma 0.75 y x) z)
0.1b	(fma 0.75 y x)
0.2b	(fma (/ 4.0 y) (- (fma 0.75 y x) z) 1.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cube-cbrt`
9×	`prod-diff`
5×	`add-log-exp`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-neg` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 49

Calls

3 calls:

4.0ms	(- (fma 0.75 y x) z)
1.0ms	(fma 0.75 y x)
1.0ms	(fma (/ 4.0 y) (- (fma 0.75 y x) z) 1.0)

series94.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(- (fma 0.75 y x) z)
23.0ms	(fma 0.75 y x)
49.0ms	(fma (/ 4.0 y) (- (fma 0.75 y x) z) 1.0)

simplify79.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	166	311
1	537	225
2	3027	216
3	5002	200

prune123.0ms

Filtered

58 candidates to 40 candidates (69.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	58	2	60

Merged error: 0b

Counts

60 → 2

regimes40.0ms

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	10	5
1	10	5

end0.0ms

sample523.0ms

Algorithm

intervals

Results

309.0ms

10161×

body

valid