Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

338×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	9	3
1	11	3
2	13	2
3	14	2
4	14	2

prune5.0ms

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: 0.1b

Counts

2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ y 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 (/ y z) y x)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(fma (/ y z) y x)

simplify41.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	44
1	68	39
2	221	39
3	820	39
4	5002	39

prune30.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
0.6b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (fma (/ y z) y x))

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 (/ y z) y x)) (cbrt (fma (/ y z) y x)))
1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))

series356.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
89.0ms	(cbrt (fma (/ y z) y x))
88.0ms	(cbrt (fma (/ y z) y x))
92.0ms	(cbrt (fma (/ y z) y x))

simplify92.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	166	700
1	618	632
2	2863	564
3	5002	541

prune233.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	94	6	100

Merged error: 0.0b

Counts

100 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (fma (/ y z) y x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))

series364.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(cbrt (fma (/ y z) y x))
90.0ms	(cbrt (fma (/ y z) y x))
91.0ms	(cbrt (fma (/ y z) y x))
91.0ms	(cbrt (fma (/ y z) y x))

simplify77.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (71.0ms)

Iter	Nodes	Cost
0	74	364
1	152	336
2	488	328
3	1903	312
4	5001	276

prune208.0ms

Filtered

64 candidates to 52 candidates (81.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (* y y) z))
8.6b	(/ (* y y) z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
45×	`times-frac`
41×	`*-un-lft-identity`
39×	`add-cube-cbrt`
15×	`associate-/l*`
12×	`swap-sqr` `associate-r` `associate-l`
7×	`add-exp-log` `add-cbrt-cube`
4×	`*-commutative` `add-log-exp` `unswap-sqr`
3×	`fma-def` `associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
1×	`+-commutative` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 96

Calls

2 calls:

16.0ms	(+ x (/ (* y y) z))
8.0ms	(/ (* y y) z)

series49.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ x (/ (* y y) z))
19.0ms	(/ (* y y) z)

simplify57.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	341	476
1	1556	448
2	5002	435

prune183.0ms

Filtered

102 candidates to 68 candidates (66.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	2	0	2
Picked	1	0	1
Done	2	1	3
Total	104	4	108

Merged error: 0b

Counts

108 → 4

regimes68.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample463.0ms

Algorithm

intervals

Results

230.0ms

10690×

body

valid