Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

268×

body

valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	58	6
2	107	6
3	188	6
4	364	6
5	722	6
6	1067	6
7	1452	6
8	1963	6
9	2143	6
10	2145	6
11	2145	6

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 1.9b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
10.6b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

236×	`*-un-lft-identity`
200×	`times-frac`
126×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
44×	`distribute-lft-out`
42×	`distribute-lft-out--`
22×	`associate-/r*`
20×	`difference-of-squares`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `frac-2neg` `div-sub` `clear-num` `add-log-exp`
1×	`associate-+l-` `flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+`

Counts

2 → 175

Calls

2 calls:

9.0ms	(/ (+ (- t z) 1.0) a)
15.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series159.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (+ (- t z) 1.0) a)
127.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify70.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	629	1758
1	2423	1698
2	5003	1697

prune523.0ms

Filtered

181 candidates to 103 candidates (56.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	178	3	181
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	178	4	182

Merged error: 0.0b

Counts

182 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (+ (- t z) 1.0))
0.4b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

103×	`*-un-lft-identity`
53×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip--`

Counts

2 → 102

Calls

2 calls:

10.0ms	(/ (- y z) (+ (- t z) 1.0))
19.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series170.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- y z) (+ (- t z) 1.0))
120.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify43.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	377	755
1	1255	699
2	5002	697

prune205.0ms

Filtered

108 candidates to 64 candidates (59.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	108	4	112

Merged error: 0b

Counts

112 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
9.8b	(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
31×	`times-frac`
29×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
21×	`associate-r`
14×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--`
5×	`associate-l` `associate-/r*`
4×	`pow1` `associate-/r/`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3--` `flip3-+` `div-exp` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `difference-of-squares`

Counts

2 → 83

Calls

2 calls:

8.0ms	(/ a (+ (- t z) 1.0))
19.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

series103.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ a (+ (- t z) 1.0))
66.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	342	553
1	1536	501
2	5001	500

prune194.0ms

Filtered

89 candidates to 59 candidates (66.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	89	4	93

Merged error: 0b

Counts

93 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t z) (- t z))
0.0b	(* (- (- t z) 1.0) a)
16.2b	(* (/ (- y z) (- (* (- t z) (- t z)) (* 1.0 1.0))) (* (- (- t z) 1.0) a))
18.3b	(/ (- y z) (- (* (- t z) (- t z)) (* 1.0 1.0)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
63×	`add-sqr-sqrt`
40×	`times-frac`
37×	`associate-l`
31×	`add-cube-cbrt`
25×	`difference-of-squares`
22×	`add-exp-log` `add-cbrt-cube`
18×	`pow1` `distribute-lft-out--`
12×	`flip3--` `flip--`
9×	`associate-r` `associate-*l/`
8×	`prod-exp` `cbrt-unprod`
7×	`swap-sqr`
6×	`frac-times`
5×	`pow-prod-down` `associate-/l*`
4×	`associate-r/` `associate-/r` `associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-inv` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `div-sub` `clear-num` `pow-sqr` `pow-prod-up`

Counts

4 → 164

Calls

4 calls:

9.0ms	(* (- t z) (- t z))
12.0ms	(* (- (- t z) 1.0) a)
24.0ms	(* (/ (- y z) (- (* (- t z) (- t z)) (* 1.0 1.0))) (* (- (- t z) 1.0) a))
14.0ms	(/ (- y z) (- (* (- t z) (- t z)) (* 1.0 1.0)))

series445.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (- t z) (- t z))
28.0ms	(* (- (- t z) 1.0) a)
291.0ms	(* (/ (- y z) (- (* (- t z) (- t z)) (* 1.0 1.0))) (* (- (- t z) 1.0) a))
109.0ms	(/ (- y z) (- (* (- t z) (- t z)) (* 1.0 1.0)))

simplify101.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	753	1649
1	3610	1462
2	5002	1454

prune421.0ms

Filtered

176 candidates to 115 candidates (65.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	176	4	180

Merged error: 0b

Counts

180 → 4

regimes148.0ms

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	14	6
1	14	6

end0.0ms

sample544.0ms

Algorithm

intervals

Results

287.0ms	8500×	body	80	valid
0.0ms	1×	body	320	valid