Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

281×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	29	4
2	54	4
3	77	4
4	104	4
5	125	4
6	134	4
7	144	4
8	145	4
9	149	4
10	153	4
11	248	4
12	286	4
13	308	4
14	394	4
15	463	4
16	521	4
17	615	4
18	691	4
19	700	4
20	700	4

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: 13.2b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
12.4b	(/ (* x (- y z)) (- t z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-r` `associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

6.0ms	(* x (- y z))
9.0ms	(/ (* x (- y z)) (- t z))

series100.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* x (- y z))
66.0ms	(/ (* x (- y z)) (- t z))

simplify36.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	264	276
1	1209	239
2	5001	239

prune111.0ms

Filtered

61 candidates to 40 candidates (65.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	55	6	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	7	62

Merged error: 0.0b

Counts

62 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t z) (- y z))
1.4b	(/ x (/ (- t z) (- y z)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

8.0ms	(/ (- t z) (- y z))
15.0ms	(/ x (/ (- t z) (- y z)))

series380.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- t z) (- y z))
333.0ms	(/ x (/ (- t z) (- y z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	633	1784
1	2863	1733
2	5001	1730

prune345.0ms

Filtered

200 candidates to 133 candidates (66.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	197	3	200
Fresh	4	1	5
Picked	0	1	1
Done	0	1	1
Total	201	6	207

Merged error: 0b

Counts

207 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- t z))
1.5b	(* x (/ (- y z) (- t z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

8.0ms	(/ (- y z) (- t z))
13.0ms	(* x (/ (- y z) (- t z)))

series115.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- y z) (- t z))
63.0ms	(* x (/ (- y z) (- t z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	349	647
1	1396	606
2	5001	606

prune177.0ms

Filtered

108 candidates to 70 candidates (64.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	108	6	114

Merged error: 0b

Counts

114 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t z) (- y z))
0.5b	(/ 1 (/ (/ (- t z) (- y z)) x))
1.4b	(/ (/ (- t z) (- y z)) x)

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
793×	`add-sqr-sqrt` `*-un-lft-identity`
449×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
39×	`associate-/l*`
35×	`associate-/r/`
31×	`add-exp-log`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

3 → 611

Calls

3 calls:

8.0ms	(/ (- t z) (- y z))
24.0ms	(/ 1 (/ (/ (- t z) (- y z)) x))
13.0ms	(/ (/ (- t z) (- y z)) x)

series308.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(/ (- t z) (- y z))
154.0ms	(/ 1 (/ (/ (- t z) (- y z)) x))
85.0ms	(/ (/ (- t z) (- y z)) x)

simplify112.0ms

Algorithm

egg-herbie

Counts

620 → 620

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1760	7383
1	5002	6711

prune1.0s

Filtered

620 candidates to 344 candidates (55.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	620	0	620
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	620	6	626

Merged error: 0b

Counts

626 → 6

regimes111.0ms

Accuracy

0% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4

end0.0ms

sample440.0ms

Algorithm

intervals

Results

227.0ms

8717×

body

valid

Iter	Nodes	Cost
0	14	4
1	29	4
2	54	4
3	77	4
4	104	4
5	125	4
6	134	4
7	144	4
8	145	4
9	149	4
10	153	4
11	248	4
12	286	4
13	308	4
14	394	4
15	463	4
16	521	4
17	615	4
18	691	4
19	700	4
20	700	4

Iter	Nodes	Cost
0	14	4
1	29	4
2	54	4
3	77	4
4	104	4
5	125	4
6	134	4
7	144	4
8	145	4
9	149	4
10	153	4
11	248	4
12	286	4
13	308	4
14	394	4
15	463	4
16	521	4
17	615	4
18	691	4
19	700	4
20	700	4

Iter	Nodes	Cost
0	14	4
1	29	4
2	54	4
3	77	4
4	104	4
5	125	4
6	134	4
7	144	4
8	145	4
9	149	4
10	153	4
11	248	4
12	286	4
13	308	4
14	394	4
15	463	4
16	521	4
17	615	4
18	691	4
19	700	4
20	700	4