Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

318×

body

valid

simplify163.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	15	4
1	32	3
2	73	3
3	150	3
4	235	3
5	277	3
6	317	3
7	371	3
8	542	3
9	974	3
10	2015	3
11	2736	3
12	3606	3
13	4676	3
14	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

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (- y x) (* 6.0 z) 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 x) (* 6.0 z) x)

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(fma (- y x) (* 6.0 z) x)

simplify63.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	44	69
1	110	59
2	343	53
3	1684	53
4	5002	53

prune31.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0.0b

Counts

15 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(+ x (* (* (- y x) 6.0) z))
0.3b	(* (* (- y x) 6.0) z)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`associate-r` `associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

6.0ms	(* (- y x) 6.0)
3.0ms	(+ x (* (* (- y x) 6.0) z))
8.0ms	(* (* (- y x) 6.0) z)

series124.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* (- y x) 6.0)
51.0ms	(+ x (* (* (- y x) 6.0) z))
40.0ms	(* (* (- y x) 6.0) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	259	314
1	1122	267
2	5002	265

prune130.0ms

Filtered

71 candidates to 49 candidates (69.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	67	6	73

Merged error: 0.0b

Counts

73 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
0.3b	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
0.6b	(* (- y x) (sqrt 6.0))
0.6b	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
15×	`associate-r`
13×	`*-un-lft-identity`
12×	`associate-*l/`
11×	`add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l` `sqrt-prod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3--` `fma-def` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 94

Calls

4 calls:

4.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
12.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
13.0ms	(* (- y x) (sqrt 6.0))
10.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

series533.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
167.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
70.0ms	(* (- y x) (sqrt 6.0))
108.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	352	652
1	1746	516
2	5003	497

prune200.0ms

Filtered

106 candidates to 69 candidates (65.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	107	5	112

Merged error: 0.0b

Counts

112 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) (sqrt (sqrt 6.0)))
0.3b	(* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0)))
0.3b	(* (* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0)) z)
0.7b	(* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log` `add-cbrt-cube`
27×	`associate-r`
24×	`sqrt-prod`
22×	`add-sqr-sqrt`
20×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
8×	`associate-l`
4×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

10.0ms	(* (- y x) (sqrt (sqrt 6.0)))
17.0ms	(* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0)))
18.0ms	(* (* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0)) z)
16.0ms	(* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0))

series466.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (- y x) (sqrt (sqrt 6.0)))
64.0ms	(* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0)))
175.0ms	(* (* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0)) z)
110.0ms	(* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0))

simplify79.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	403	1013
1	2248	782
2	5001	711

prune228.0ms

Filtered

128 candidates to 73 candidates (57.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	127	6	133

Merged error: 0b

Counts

133 → 6

regimes100.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample460.0ms

Algorithm

intervals

Results

242.0ms

10149×

body

valid