Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

277×

body

valid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (32.0ms)

Iter	Nodes	Cost
0	25	6
1	58	6
2	110	6
3	198	6
4	411	6
5	863	6
6	1229	5
7	1698	5
8	2304	5
9	2508	5
10	2510	5
11	2510	5

prune9.0ms

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: 1.1b

Counts

2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
1.2b	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
15×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`distribute-lft-out`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

8.0ms	(/ a (+ (- t z) 1.0))
1.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series194.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ a (+ (- t z) 1.0))
158.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify97.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	209	330
1	714	301
2	3086	297
3	5001	297

prune160.0ms

Filtered

55 candidates to 40 candidates (72.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	49	8	57

Merged error: 1.1b

Counts

57 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ a (+ (- t z) 1.0)) (- z y)) x)
0.0b	(/ a (+ (- t z) 1.0))
8.8b	(* (/ a (+ (- t z) 1.0)) (- z y))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
47×	`add-cube-cbrt`
36×	`prod-diff`
31×	`times-frac`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
21×	`associate-l`
14×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--`
5×	`pow1` `associate-r` `associate-/r*` `add-log-exp`
4×	`sub-neg` `associate-/r/`
3×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3--` `associate-*r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `difference-of-squares`

Counts

3 → 145

Calls

3 calls:

17.0ms	(+ (* (/ a (+ (- t z) 1.0)) (- z y)) x)
9.0ms	(/ a (+ (- t z) 1.0))
18.0ms	(* (/ a (+ (- t z) 1.0)) (- z y))

series371.0ms

Counts

3 → 9

Calls

3 calls:

192.0ms	(+ (* (/ a (+ (- t z) 1.0)) (- z y)) x)
36.0ms	(/ a (+ (- t z) 1.0))
142.0ms	(* (/ a (+ (- t z) 1.0)) (- z y))

simplify90.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	652	1338
1	2714	1089
2	5002	1086

prune357.0ms

Filtered

154 candidates to 104 candidates (67.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	151	3	154
Fresh	6	1	7
Picked	1	0	1
Done	0	0	0
Total	158	4	162

Merged error: 0b

Counts

162 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* a (/ (- z y) (+ (- t z) 1.0))) x)
0.0b	(/ (- z y) (+ (- t z) 1.0))
1.1b	(* a (/ (- z y) (+ (- t z) 1.0)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3-+` `associate-l` `flip-+` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `fma-def` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--`

Counts

3 → 120

Calls

3 calls:

14.0ms	(+ (* a (/ (- z y) (+ (- t z) 1.0))) x)
12.0ms	(/ (- z y) (+ (- t z) 1.0))
18.0ms	(* a (/ (- z y) (+ (- t z) 1.0)))

series255.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(+ (* a (/ (- z y) (+ (- t z) 1.0))) x)
53.0ms	(/ (- z y) (+ (- t z) 1.0))
82.0ms	(* a (/ (- z y) (+ (- t z) 1.0)))

simplify74.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	457	886
1	1888	825
2	5001	822

prune268.0ms

Filtered

129 candidates to 83 candidates (64.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	129	4	133

Merged error: 0b

Counts

133 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
0.0b	(/ a (+ (- t z) 1.0))
0.3b	(fma (- y) (/ a (+ (- t z) 1.0)) x)
7.3b	(* (/ a (+ (- t z) 1.0)) z)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
46×	`times-frac`
39×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
22×	`distribute-lft-out`
21×	`associate-l`
13×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-lft-out--`
10×	`associate-/r*`
6×	`pow1` `associate-/r/` `associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `flip3-+` `div-exp` `associate-r` `flip-+` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`pow-prod-down` `associate-l/` `-commutative` `fma-udef`

Counts

4 → 130

Calls

4 calls:

8.0ms	(/ a (+ (- t z) 1.0))
8.0ms	(/ a (+ (- t z) 1.0))
1.0ms	(fma (- y) (/ a (+ (- t z) 1.0)) x)
12.0ms	(* (/ a (+ (- t z) 1.0)) z)

series257.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ a (+ (- t z) 1.0))
41.0ms	(/ a (+ (- t z) 1.0))
103.0ms	(fma (- y) (/ a (+ (- t z) 1.0)) x)
76.0ms	(* (/ a (+ (- t z) 1.0)) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	351	817
1	1375	743
2	5001	740

prune340.0ms

Filtered

142 candidates to 99 candidates (69.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	142	4	146

Merged error: 0b

Counts

146 → 4

regimes176.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample623.0ms

Algorithm

intervals

Results

352.0ms	8516×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid