Details

sample36.0ms

Algorithm

intervals

Results

19.0ms

279×

body

valid

simplify84.0ms

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: 1.4b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

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:

9.0ms	(/ (+ (- t z) 1.0) a)
35.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
14.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series240.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (+ (- t z) 1.0) a)
85.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
121.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify78.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (57.0ms)

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

prune379.0ms

Filtered

201 candidates to 119 candidates (59.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	197	4	201
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	197	5	202

Merged error: 0.0b

Counts

202 → 5

localize13.0ms

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))
0.9b	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

1079×	`times-frac`
929×	`*-un-lft-identity`
570×	`add-sqr-sqrt`
393×	`add-cube-cbrt`
153×	`distribute-lft-out--`
152×	`distribute-lft-out`
83×	`difference-of-squares`
48×	`div-inv`
36×	`associate-/l*`
31×	`associate-/r/`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`div-exp` `add-cbrt-cube`
15×	`flip3-+` `flip-+`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `associate-/l/`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

3 → 545

Calls

3 calls:

109.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
11.0ms	(/ (- y z) (+ (- t z) 1.0))
25.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series258.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
51.0ms	(/ (- y z) (+ (- t z) 1.0))
121.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify123.0ms

Algorithm

egg-herbie

Counts

554 → 554

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	1925	7705
1	5002	7176

prune735.0ms

Filtered

554 candidates to 226 candidates (40.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	553	1	554
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	554	5	559

Merged error: 0b

Counts

559 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
0.8b	(* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (/ (- y z) (+ (- t z) 1.0)) (/ (cbrt 1) (cbrt a))))

rewrite744.0ms

Algorithm

rewrite-expression-head

Rules

3629×	`times-frac`
2682×	`*-un-lft-identity`
1927×	`add-sqr-sqrt`
1245×	`associate-r`
1232×	`add-cube-cbrt`
1195×	`cbrt-prod`
437×	`add-exp-log`
400×	`distribute-lft-out` `distribute-lft-out--`
238×	`div-exp`
200×	`difference-of-squares`
140×	`prod-exp`
113×	`add-cbrt-cube`
93×	`cbrt-undiv`
82×	`associate-/r/`
76×	`div-inv`
75×	`unswap-sqr`
50×	`cbrt-unprod`
40×	`flip3-+` `flip-+`
25×	`rec-exp` `1-exp`
20×	`associate-l`
6×	`pow1`
4×	`add-log-exp`
3×	`pow1/3`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 1495

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
512.0ms	(* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (/ (- y z) (+ (- t z) 1.0)) (/ (cbrt 1) (cbrt a))))

series659.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(cbrt a)
178.0ms	(cbrt a)
173.0ms	(cbrt a)
104.0ms	(* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (/ (- y z) (+ (- t z) 1.0)) (/ (cbrt 1) (cbrt a))))

simplify268.0ms

Algorithm

egg-herbie

Counts

1507 → 1507

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5001	30389

prune4.1s

Filtered

1507 candidates to 825 candidates (54.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1507	0	1507
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	1507	5	1512

Merged error: 0b

Counts

1512 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
0.0b	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
8.5b	(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

8.0ms	(/ a (+ (- t z) 1.0))
3.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
16.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

series192.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ a (+ (- t z) 1.0))
89.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
70.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	408	686
1	1779	630
2	5001	630

prune200.0ms

Filtered

104 candidates to 71 candidates (68.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	0	1
Picked	0	1	1
Done	1	2	3
Total	105	4	109

Merged error: 0b

Counts

109 → 4

regimes158.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	18
1	25	18

end0.0ms

sample564.0ms

Algorithm

intervals

Results

322.0ms	8480×	body	80	valid
0.0ms	2×	body	640	valid