Details

sample24.0ms

Algorithm

intervals

Results

9.0ms

275×

body

valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (29.0ms)

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

prune8.0ms

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: 0.6b

Counts

2 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
0.6b	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite10.0ms

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)

series196.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ a (+ (- t z) 1.0))
159.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify104.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (26.0ms)

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

prune158.0ms

Filtered

55 candidates to 40 candidates (72.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	51	6	57

Merged error: 0.5b

Counts

57 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
9.1b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

243×	`*-un-lft-identity`
200×	`times-frac`
128×	`add-sqr-sqrt`
88×	`add-cube-cbrt`
46×	`distribute-lft-out`
43×	`distribute-lft-out--`
25×	`associate-/r*`
20×	`difference-of-squares`
15×	`associate-/l*`
13×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
6×	`associate-/l/`
4×	`cbrt-undiv` `div-exp`
3×	`frac-2neg` `clear-num`
2×	`pow1` `expm1-log1p-u` `flip3-+` `div-sub` `flip-+` `log1p-expm1-u` `add-log-exp`
1×	`associate-+l-` `flip3--` `flip--`

Counts

2 → 191

Calls

2 calls:

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

series166.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (+ (- t z) 1.0) a)
132.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify90.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	688	1831
1	2598	1768
2	5002	1767

prune425.0ms

Filtered

197 candidates to 114 candidates (57.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	195	2	197
Fresh	4	0	4
Picked	0	1	1
Done	1	0	1
Total	200	3	203

Merged error: 0b

Counts

203 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (+ (- t z) 1.0))
1.6b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

112×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
28×	`add-cube-cbrt`
24×	`distribute-lft-out` `distribute-lft-out--`
15×	`associate-*l/`
12×	`difference-of-squares`
10×	`associate-/r` `associate-/l`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `associate-/r/` `associate-/l/`
3×	`associate-r`
2×	`cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`div-sub` `pow-prod-down` `*-commutative`

Counts

2 → 120

Calls

2 calls:

12.0ms	(/ (- y z) (+ (- t z) 1.0))
21.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series187.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (- y z) (+ (- t z) 1.0))
131.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify64.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	426	821
1	1743	763
2	5001	761

prune279.0ms

Filtered

126 candidates to 78 candidates (61.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	126	3	129

Merged error: 0b

Counts

129 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* a (- y z))
8.1b	(/ (* a (- y z)) (+ (- t z) 1.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
77×	`add-sqr-sqrt`
70×	`times-frac`
49×	`add-cube-cbrt`
35×	`associate-r`
30×	`distribute-lft-out`
22×	`distribute-lft-out--`
21×	`associate-l`
18×	`prod-diff`
14×	`associate-/l*`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
7×	`*-commutative` `difference-of-squares` `unswap-sqr`
5×	`associate-/r*`
4×	`pow1` `associate-*r/`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `flip-+` `div-inv`

Counts

2 → 155

Calls

2 calls:

10.0ms	(* a (- y z))
18.0ms	(/ (* a (- y z)) (+ (- t z) 1.0))

series124.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* a (- y z))
87.0ms	(/ (* a (- y z)) (+ (- t z) 1.0))

simplify85.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	541	1332
1	2460	1160
2	5002	1160

prune296.0ms

Filtered

161 candidates to 83 candidates (51.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	161	3	164

Merged error: 0b

Counts

164 → 3

regimes142.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample546.0ms

Algorithm

intervals

Results

297.0ms	8480×	body	80	valid
0.0ms	1×	body	640	valid