Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

313×

body

valid

simplify192.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (75.0ms)

Iter	Nodes	Cost
0	14	4
1	34	4
2	92	4
3	232	4
4	491	4
5	785	4
6	1115	4
7	1482	4
8	2218	3
9	3349	3
10	4819	3
11	5001	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 3.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
2.9b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
84×	`prod-diff`
73×	`*-un-lft-identity`
52×	`add-cube-cbrt`
44×	`distribute-rgt-in` `distribute-lft-in`
40×	`associate-l`
29×	`associate-r`
11×	`distribute-lft-out--`
9×	`difference-of-squares` `unswap-sqr`
8×	`*-commutative`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

6.0ms	(* (- 1.0 y) z)
16.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series102.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* (- 1.0 y) z)
66.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify90.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	537	2110
1	2043	1415
2	5003	1413

prune131.0ms

Filtered

145 candidates to 48 candidates (33.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	138	7	145
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	139	7	146

Merged error: 0.0b

Counts

146 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1.0 x (* (* x z) (- y 1.0)))
3.4b	(* (* x z) (- y 1.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
15×	`associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-r`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`unswap-sqr`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `sub-neg` `associate-r/` `-commutative` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 69

Calls

2 calls:

1.0ms	(fma 1.0 x (* (* x z) (- y 1.0)))
13.0ms	(* (* x z) (- y 1.0))

series127.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(fma 1.0 x (* (* x z) (- y 1.0)))
64.0ms	(* (* x z) (- y 1.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	358	571
1	1449	405
2	5002	393

prune116.0ms

Filtered

75 candidates to 42 candidates (56.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	71	4	75
Fresh	5	1	6
Picked	0	1	1
Done	0	0	0
Total	76	6	82

Merged error: 0b

Counts

82 → 6

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (- y 1.0))
0.0b	(fma 1.0 x (* z (* x (- y 1.0))))
2.9b	(* z (* x (- y 1.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
49×	`*-un-lft-identity`
45×	`add-cube-cbrt`
24×	`associate-r`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-l`
6×	`sub-neg` `associate-*r/`
5×	`unswap-sqr`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

3 → 137

Calls

3 calls:

8.0ms	(* x (- y 1.0))
1.0ms	(fma 1.0 x (* z (* x (- y 1.0))))
14.0ms	(* z (* x (- y 1.0)))

series171.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* x (- y 1.0))
63.0ms	(fma 1.0 x (* z (* x (- y 1.0))))
63.0ms	(* z (* x (- y 1.0)))

simplify73.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	466	1236
1	2040	793
2	5001	769

prune156.0ms

Filtered

146 candidates to 63 candidates (43.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	146	6	152

Merged error: 0b

Counts

152 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1.0 x (* (* z (- y 1.0)) x))
0.0b	(* z (- y 1.0))
2.9b	(* (* z (- y 1.0)) x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`associate-l`
18×	`prod-diff`
13×	`associate-r`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`unswap-sqr`
4×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `flip3--` `associate-*l/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

3 → 93

Calls

3 calls:

1.0ms	(fma 1.0 x (* (* z (- y 1.0)) x))
7.0ms	(* z (- y 1.0))
12.0ms	(* (* z (- y 1.0)) x)

series163.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(fma 1.0 x (* (* z (- y 1.0)) x))
37.0ms	(* z (- y 1.0))
55.0ms	(* (* z (- y 1.0)) x)

simplify70.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	323	619
1	1323	440
2	5001	434

prune139.0ms

Filtered

102 candidates to 60 candidates (58.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	102	6	108

Merged error: 0b

Counts

108 → 6

regimes139.0ms

Accuracy

64.6% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.5b

bsearch86.0ms

Steps

Iters	Range		Point
7	1.3844540831274512e-220	2.1250166220561467e-218	4.8271328584501686e-220
8	-2.0328959978530487e+77	-1.8347284548271936e+73	-2.508672024357701e+74

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	8
1	24	8

end0.0ms

sample474.0ms

Algorithm

intervals

Results

255.0ms

10093×

body

valid