Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

269×

body

valid

simplify95.0ms

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

prune4.0ms

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: 1.1b

Counts

2 → 1

localize16.0ms

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)
10.2b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite78.0ms

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:

28.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
16.0ms	(/ (+ (- t z) 1.0) a)
24.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series238.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
31.0ms	(/ (+ (- t z) 1.0) a)
122.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify73.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (53.0ms)

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

prune345.0ms

Filtered

201 candidates to 119 candidates (59.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	198	3	201
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	198	4	202

Merged error: 0b

Counts

202 → 4

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))
0.6b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite30.0ms

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

series278.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(- 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)

simplify45.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (35.0ms)

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

prune190.0ms

Filtered

123 candidates to 77 candidates (62.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	123	4	127

Merged error: 0b

Counts

127 → 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))
0.1b	(* (/ 1 (+ (- t z) 1.0)) a)
9.9b	(* (- y z) (* (/ 1 (+ (- t z) 1.0)) a))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

3.0ms	(- x (* (- y z) (* (/ 1 (+ (- t z) 1.0)) a)))
7.0ms	(/ 1 (+ (- t z) 1.0))
11.0ms	(* (/ 1 (+ (- t z) 1.0)) a)
14.0ms	(* (- y z) (* (/ 1 (+ (- t z) 1.0)) a))

series327.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- x (* (- y z) (* (/ 1 (+ (- t z) 1.0)) a)))
35.0ms	(/ 1 (+ (- t z) 1.0))
90.0ms	(* (/ 1 (+ (- t z) 1.0)) a)
120.0ms	(* (- y z) (* (/ 1 (+ (- t z) 1.0)) a))

simplify56.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	506	874
1	2090	749
2	5001	711

prune197.0ms

Filtered

137 candidates to 82 candidates (59.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	137	4	141

Merged error: 0b

Counts

141 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1 (/ (/ (+ (- t z) 1.0) a) (- y z))))
0.0b	(/ (+ (- t z) 1.0) a)
0.3b	(/ 1 (/ (/ (+ (- t z) 1.0) a) (- y z)))
10.3b	(/ (/ (+ (- t z) 1.0) a) (- y z))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

1195×	`times-frac`
1058×	`*-un-lft-identity`
665×	`add-sqr-sqrt`
450×	`add-cube-cbrt`
180×	`distribute-lft-out--`
164×	`distribute-lft-out`
109×	`associate-/r*`
103×	`difference-of-squares`
34×	`div-inv`
32×	`add-exp-log`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
11×	`associate-/r/`
10×	`cbrt-undiv`
6×	`flip3--` `flip--` `add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
2×	`associate-+l-`
1×	`sub-neg` `pow-flip` `flip3-+` `diff-log` `flip-+` `inv-pow`

Counts

4 → 628

Calls

4 calls:

76.0ms	(- x (/ 1 (/ (/ (+ (- t z) 1.0) a) (- y z))))
8.0ms	(/ (+ (- t z) 1.0) a)
29.0ms	(/ 1 (/ (/ (+ (- t z) 1.0) a) (- y z)))
13.0ms	(/ (/ (+ (- t z) 1.0) a) (- y z))

series326.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(- x (/ 1 (/ (/ (+ (- t z) 1.0) a) (- y z))))
32.0ms	(/ (+ (- t z) 1.0) a)
112.0ms	(/ 1 (/ (/ (+ (- t z) 1.0) a) (- y z)))
75.0ms	(/ (/ (+ (- t z) 1.0) a) (- y z))

simplify120.0ms

Algorithm

egg-herbie

Counts

640 → 640

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1569	8157
1	5002	6862

prune674.0ms

Filtered

640 candidates to 237 candidates (37.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	640	0	640
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	640	4	644

Merged error: 0b

Counts

644 → 4

regimes142.0ms

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

sample566.0ms

Algorithm

intervals

Results

323.0ms

8514×

body

valid