Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

324×

body

valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	28	3
3	40	3
4	50	3
5	73	3
6	102	3
7	118	3
8	145	3
9	174	3
10	190	3
11	190	3

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: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) z)
0.0b	(+ x (/ (- y x) z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 51

Calls

2 calls:

6.0ms	(/ (- y x) z)
9.0ms	(+ x (/ (- y x) z))

series51.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (- y x) z)
23.0ms	(+ x (/ (- y x) z))

simplify61.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	217	273
1	668	261
2	2853	261
3	5002	261

prune77.0ms

Filtered

57 candidates to 40 candidates (70.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	4	58

Merged error: 0b

Counts

58 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ y z))
0.0b	(- (+ x (/ y z)) (/ x z))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`frac-sub`
13×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
10×	`flip3-+` `flip-+`
9×	`add-log-exp`
6×	`add-cube-cbrt` `associate-/r` `associate-/l`
2×	`pow1` `add-exp-log` `+-commutative` `frac-2neg` `diff-log` `associate--l+` `clear-num` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `times-frac` `flip--`

Counts

2 → 49

Calls

2 calls:

6.0ms	(+ x (/ y z))
13.0ms	(- (+ x (/ y z)) (/ x z))

series41.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+ x (/ y z))
25.0ms	(- (+ x (/ y z)) (/ x z))

simplify39.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	318	572
1	1401	545
2	5003	545

prune82.0ms

Filtered

55 candidates to 38 candidates (69.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	55	4	59

Merged error: 0b

Counts

59 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (/ z (- y x))))
0.0b	(/ z (- y x))
0.2b	(/ 1 (/ z (- y x)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
111×	`*-un-lft-identity`
107×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
31×	`associate-/r*`
21×	`associate-/r/`
17×	`distribute-lft-out--` `difference-of-squares`
16×	`add-exp-log`
10×	`add-cbrt-cube` `associate-/l*`
8×	`div-exp`
7×	`div-inv`
5×	`flip3--` `flip--` `add-log-exp`
4×	`pow1` `cbrt-undiv` `clear-num`
3×	`frac-2neg`
2×	`rec-exp` `1-exp` `distribute-lft-out` `remove-double-div`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

3 → 170

Calls

3 calls:

21.0ms	(+ x (/ 1 (/ z (- y x))))
5.0ms	(/ z (- y x))
10.0ms	(/ 1 (/ z (- y x)))

series87.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ x (/ 1 (/ z (- y x))))
29.0ms	(/ z (- y x))
37.0ms	(/ 1 (/ z (- y x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	496	1169
1	2207	1047
2	5001	926

prune161.0ms

Filtered

179 candidates to 89 candidates (49.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	177	2	179
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	179	4	183

Merged error: 0b

Counts

183 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- y x))
0.0b	(+ x (/ 1 (* z (/ 1 (- y x)))))
0.2b	(/ 1 (* z (/ 1 (- y x))))
0.3b	(* z (/ 1 (- y x)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

196×	`times-frac`
182×	`add-sqr-sqrt`
157×	`*-un-lft-identity`
105×	`add-cube-cbrt` `associate-r`
52×	`add-exp-log`
47×	`associate-/r*`
26×	`associate-/r/`
22×	`associate-*r/`
21×	`distribute-lft-out--` `difference-of-squares`
20×	`div-exp` `add-cbrt-cube`
16×	`prod-exp`
15×	`associate-l` `unswap-sqr`
14×	`associate-/l*`
10×	`pow1` `rec-exp` `1-exp`
8×	`div-inv`
6×	`cbrt-undiv` `flip3--` `clear-num` `un-div-inv` `flip--` `add-log-exp`
5×	`*-commutative`
4×	`frac-2neg` `cbrt-unprod`
3×	`pow-flip`
2×	`pow-prod-down` `distribute-lft-out` `inv-pow`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 286

Calls

4 calls:

5.0ms	(/ 1 (- y x))
33.0ms	(+ x (/ 1 (* z (/ 1 (- y x)))))
21.0ms	(/ 1 (* z (/ 1 (- y x))))
12.0ms	(* z (/ 1 (- y x)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 1 (- y x))
23.0ms	(+ x (/ 1 (* z (/ 1 (- y x)))))
32.0ms	(/ 1 (* z (/ 1 (- y x))))
29.0ms	(* z (/ 1 (- y x)))

simplify76.0ms

Algorithm

egg-herbie

Counts

298 → 298

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	777	1977
1	3539	1565
2	5002	1251

prune226.0ms

Filtered

298 candidates to 123 candidates (41.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	297	1	298
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	298	4	302

Merged error: 0b

Counts

302 → 4

regimes52.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample409.0ms

Algorithm

intervals

Results

205.0ms

10063×

body

valid