Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

271×

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: 1.7b

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)
10.3b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite65.0ms

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:

34.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
8.0ms	(/ (+ (- t z) 1.0) a)
13.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series245.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
34.0ms	(/ (+ (- t z) 1.0) a)
125.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify74.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (53.0ms)

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

prune380.0ms

Filtered

201 candidates to 119 candidates (59.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	196	5	201
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	197	5	202

Merged error: 0b

Counts

202 → 5

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

rewrite34.0ms

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:

2.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
11.0ms	(/ (- y z) (+ (- t z) 1.0))
16.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series267.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
49.0ms	(/ (- y z) (+ (- t z) 1.0))
128.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify47.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (37.0ms)

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

prune205.0ms

Filtered

123 candidates to 77 candidates (62.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	124	4	128

Merged error: 0b

Counts

128 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (* (- y z) (/ 1 (+ (- t z) 1.0))) a))
0.0b	(/ 1 (+ (- t z) 1.0))
0.2b	(* (- y z) (/ 1 (+ (- t z) 1.0)))
0.9b	(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
24×	`associate-r`
20×	`add-cbrt-cube`
14×	`distribute-lft-out`
13×	`prod-exp`
12×	`pow1`
10×	`associate-*l/`
8×	`distribute-lft-out--`
7×	`cbrt-unprod`
6×	`div-exp` `associate-l` `add-log-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`frac-times` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`flip3-+` `associate-r/` `un-div-inv` `-commutative` `flip-+` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `clear-num` `inv-pow` `difference-of-squares`

Counts

4 → 131

Calls

4 calls:

3.0ms	(- x (* (* (- y z) (/ 1 (+ (- t z) 1.0))) a))
8.0ms	(/ 1 (+ (- t z) 1.0))
17.0ms	(* (- y z) (/ 1 (+ (- t z) 1.0)))
15.0ms	(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

series313.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(- x (* (* (- y z) (/ 1 (+ (- t z) 1.0))) a))
42.0ms	(/ 1 (+ (- t z) 1.0))
50.0ms	(* (- y z) (/ 1 (+ (- t z) 1.0)))
130.0ms	(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

simplify65.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	510	939
1	2283	794
2	5002	752

prune215.0ms

Filtered

143 candidates to 83 candidates (58.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	143	4	147

Merged error: 0b

Counts

147 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z 1.0) a)
0.0b	(- x (/ (- y z) (- (/ t a) (/ (- z 1.0) a))))
1.0b	(- (/ t a) (/ (- z 1.0) a))
10.3b	(/ (- y z) (- (/ t a) (/ (- z 1.0) a)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

225×	`*-un-lft-identity`
203×	`times-frac`
193×	`add-sqr-sqrt`
91×	`distribute-lft-out--`
64×	`add-cube-cbrt`
50×	`difference-of-squares`
18×	`associate-/r*`
16×	`div-inv`
10×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`distribute-rgt-out--`
5×	`flip3--` `flip--`
4×	`pow1` `div-sub` `associate-/r/` `associate-/l/`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `sub-div` `associate--r-`

Counts

4 → 195

Calls

4 calls:

6.0ms	(/ (- z 1.0) a)
41.0ms	(- x (/ (- y z) (- (/ t a) (/ (- z 1.0) a))))
17.0ms	(- (/ t a) (/ (- z 1.0) a))
23.0ms	(/ (- y z) (- (/ t a) (/ (- z 1.0) a)))

series280.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ (- z 1.0) a)
95.0ms	(- x (/ (- y z) (- (/ t a) (/ (- z 1.0) a))))
31.0ms	(- (/ t a) (/ (- z 1.0) a))
126.0ms	(/ (- y z) (- (/ t a) (/ (- z 1.0) a)))

simplify75.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	693	1961
1	2313	1903
2	5002	1902

prune387.0ms

Filtered

207 candidates to 135 candidates (65.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	207	0	207
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	207	4	211

Merged error: 0b

Counts

211 → 4

regimes107.0ms

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

sample534.0ms

Algorithm

intervals

Results

282.0ms	8453×	body	80	valid
0.0ms	1×	body	1280	valid