Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

267×

body

valid

simplify73.0ms

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

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: 1.8b

Counts

2 → 1

localize10.0ms

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)
8.9b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

239×	`*-un-lft-identity`
203×	`times-frac`
136×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
44×	`distribute-lft-out`
43×	`distribute-lft-out--`
23×	`difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `associate-/r/` `flip-+` `associate--r-`

Counts

3 → 192

Calls

3 calls:

33.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
8.0ms	(/ (+ (- t z) 1.0) a)
13.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series235.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
33.0ms	(/ (+ (- t z) 1.0) a)
119.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify73.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	707	1950
1	2629	1888
2	5001	1887

prune377.0ms

Filtered

201 candidates to 119 candidates (59.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	194	7	201
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	194	8	202

Merged error: 0.0b

Counts

202 → 8

localize9.0ms

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
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×	`associate-r`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

3 → 114

Calls

3 calls:

3.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
10.0ms	(/ (- y z) (+ (- t z) 1.0))
15.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series246.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
46.0ms	(/ (- y z) (+ (- t z) 1.0))
119.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify47.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	436	882
1	1450	824
2	5001	823

prune212.0ms

Filtered

123 candidates to 77 candidates (62.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	2	4	6
Picked	0	1	1
Done	1	0	1
Total	124	7	131

Merged error: 0.0b

Counts

131 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
0.0b	(/ (+ (- t z) 1.0) (- y z))
0.2b	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
1.0b	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

447×	`*-un-lft-identity`
392×	`times-frac`
254×	`add-sqr-sqrt`
158×	`add-cube-cbrt`
98×	`associate-l`
82×	`distribute-lft-out` `distribute-lft-out--`
41×	`difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-r` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`associate-+l-` `sub-neg` `pow-flip` `flip3-+` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

3.0ms	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
10.0ms	(/ (+ (- t z) 1.0) (- y z))
14.0ms	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
30.0ms	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

series384.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
62.0ms	(/ (+ (- t z) 1.0) (- y z))
94.0ms	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
116.0ms	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

simplify113.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	887	3108
1	4344	2801
2	5002	2578

prune504.0ms

Filtered

350 candidates to 165 candidates (47.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	350	0	350
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	350	7	357

Merged error: 0.0b

Counts

357 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
2.5b	(/ (cbrt (- y z)) (/ (cbrt (+ (- t z) 1.0)) a))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

440×	`times-frac`
399×	`*-un-lft-identity`
295×	`cbrt-prod`
264×	`add-sqr-sqrt`
200×	`add-cube-cbrt`
59×	`distribute-lft-out--`
54×	`distribute-lft-out`
32×	`difference-of-squares`
28×	`associate-/r*`
10×	`div-inv`
9×	`add-exp-log`
8×	`cbrt-div` `associate-/l*`
6×	`add-cbrt-cube`
4×	`pow1` `flip3--` `flip--` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/r/`

Counts

4 → 322

Calls

4 calls:

3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
18.0ms	(/ (cbrt (- y z)) (/ (cbrt (+ (- t z) 1.0)) a))

series740.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt (- y z))
151.0ms	(cbrt (- y z))
145.0ms	(cbrt (- y z))
290.0ms	(/ (cbrt (- y z)) (/ (cbrt (+ (- t z) 1.0)) a))

simplify122.0ms

Algorithm

egg-herbie

Counts

334 → 334

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	945	4900
1	3607	4786
2	5002	4582

prune842.0ms

Filtered

334 candidates to 192 candidates (57.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	334	0	334
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	334	7	341

Merged error: 0.0b

Counts

341 → 7

regimes155.0ms

Accuracy

0% (0.3b 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	14	6
1	14	6

end0.0ms

sample583.0ms

Algorithm

intervals

Results

307.0ms	8465×	body	80	valid
0.0ms	2×	body	640	valid