Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

270×

body

valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Filtered

1 candidates to 0 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: 2.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

246×	`*-un-lft-identity`
203×	`times-frac`
138×	`add-sqr-sqrt`
89×	`add-cube-cbrt`
46×	`distribute-lft-out`
44×	`distribute-lft-out--`
25×	`associate-/r*`
23×	`difference-of-squares`
15×	`associate-/l*`
13×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
6×	`associate-/l/`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `frac-2neg` `div-sub` `clear-num`
2×	`flip3--` `flip3-+` `flip--` `flip-+`
1×	`associate-+l-` `sub-neg` `diff-log` `associate--r-`

Counts

3 → 204

Calls

3 calls:

38.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
9.0ms	(/ (+ (- t z) 1.0) a)
16.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series262.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
34.0ms	(/ (+ (- t z) 1.0) a)
137.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify93.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	746	2004
1	2736	1942
2	5001	1941

prune315.0ms

Filtered

213 candidates to 126 candidates (40.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	208	5	213
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	209	5	214

Merged error: 0.0b

Counts

214 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (- y z) (- (+ (- t z) 1.0))) (- a)))
0.0b	(/ (- y z) (- (+ (- t z) 1.0)))
0.9b	(* (/ (- y z) (- (+ (- t z) 1.0))) (- a))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

257×	`*-un-lft-identity`
147×	`add-sqr-sqrt`
142×	`times-frac`
77×	`associate-l`
73×	`add-cube-cbrt`
63×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
56×	`distribute-lft-out--`
48×	`distribute-lft-out`
33×	`difference-of-squares`
28×	`associate-/r*`
24×	`associate-*l/`
13×	`neg-mul-1`
10×	`add-exp-log` `associate-r` `add-cbrt-cube` `associate-/l*`
5×	`pow1` `add-log-exp`
4×	`associate-/r/` `associate-/l/` `distribute-neg-frac` `unswap-sqr`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `prod-exp` `clear-num` `cbrt-unprod` `flip-+` `div-inv`
1×	`sub-neg` `diff-log` `div-sub` `pow-prod-down` `*-commutative` `distribute-rgt-neg-out`

Counts

3 → 249

Calls

3 calls:

47.0ms	(- x (* (/ (- y z) (- (+ (- t z) 1.0))) (- a)))
13.0ms	(/ (- y z) (- (+ (- t z) 1.0)))
31.0ms	(* (/ (- y z) (- (+ (- t z) 1.0))) (- a))

series282.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- x (* (/ (- y z) (- (+ (- t z) 1.0))) (- a)))
56.0ms	(/ (- y z) (- (+ (- t z) 1.0)))
134.0ms	(* (/ (- y z) (- (+ (- t z) 1.0))) (- a))

simplify104.0ms

Algorithm

egg-herbie

Counts

258 → 258

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	833	2239
1	3553	2161
2	5001	2125

prune383.0ms

Filtered

258 candidates to 148 candidates (42.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	256	2	258
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	258	5	263

Merged error: 0.0b

Counts

263 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
0.0b	(/ (- y z) (+ (- t z) 1.0))
1.0b	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

1079×	`times-frac`
940×	`*-un-lft-identity`
576×	`add-sqr-sqrt`
397×	`add-cube-cbrt`
155×	`distribute-lft-out--`
154×	`distribute-lft-out`
84×	`difference-of-squares`
48×	`div-inv`
44×	`associate-/l*`
39×	`associate-/r/`
27×	`add-exp-log`
26×	`associate-/r*`
19×	`associate-/l/`
17×	`div-exp` `add-cbrt-cube`
15×	`flip3-+` `flip-+`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
4×	`frac-2neg` `clear-num`
3×	`pow1` `flip3--` `flip--`
2×	`rec-exp` `1-exp`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

3 → 567

Calls

3 calls:

106.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
10.0ms	(/ (- y z) (+ (- t z) 1.0))
27.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series279.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
55.0ms	(/ (- y z) (+ (- t z) 1.0))
133.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify136.0ms

Algorithm

egg-herbie

Counts

576 → 576

Iterations

Useful iterations: 1 (56.0ms)

Iter	Nodes	Cost
0	1967	7833
1	5002	7292

prune887.0ms

Filtered

576 candidates to 242 candidates (58.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	576	0	576
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	576	5	581

Merged error: 0.0b

Counts

581 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (- y z) (/ (- a) (- (+ (- t z) 1.0)))))
0.0b	(/ (- a) (- (+ (- t z) 1.0)))
8.4b	(* (- y z) (/ (- a) (- (+ (- t z) 1.0))))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

424×	`*-un-lft-identity`
282×	`times-frac`
217×	`distribute-rgt-neg-in`
216×	`distribute-lft-neg-in`
189×	`add-sqr-sqrt`
173×	`add-cube-cbrt`
146×	`associate-r`
96×	`distribute-lft-out`
56×	`neg-mul-1` `associate-/r*`
54×	`frac-times`
53×	`distribute-lft-out--`
42×	`associate-/l*`
29×	`flip3--` `flip--`
27×	`associate-*r/`
10×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
5×	`pow1` `clear-num` `add-log-exp`
4×	`frac-2neg` `associate-/r/` `distribute-neg-frac` `difference-of-squares` `unswap-sqr`
3×	`un-div-inv`
2×	`cbrt-undiv` `flip3-+` `distribute-frac-neg` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `div-inv`
1×	`neg-sub0` `sub-neg` `diff-log` `div-sub` `pow-prod-down` `*-commutative` `distribute-rgt-neg-out`

Counts

3 → 451

Calls

3 calls:

70.0ms	(- x (* (- y z) (/ (- a) (- (+ (- t z) 1.0)))))
12.0ms	(/ (- a) (- (+ (- t z) 1.0)))
50.0ms	(* (- y z) (/ (- a) (- (+ (- t z) 1.0))))

series213.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(- x (* (- y z) (/ (- a) (- (+ (- t z) 1.0)))))
40.0ms	(/ (- a) (- (+ (- t z) 1.0)))
78.0ms	(* (- y z) (/ (- a) (- (+ (- t z) 1.0))))

simplify88.0ms

Algorithm

egg-herbie

Counts

460 → 460

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1184	4096
1	5001	4011

prune720.0ms

Filtered

460 candidates to 271 candidates (41.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	458	2	460
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	460	5	465

Merged error: 0.0b

Counts

465 → 5

regimes122.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	8
1	26	8
2	29	8
3	29	8

end0.0ms

sample544.0ms

Algorithm

intervals

Results

282.0ms	8469×	body	80	valid
0.0ms	1×	body	640	valid