Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

281×

body

valid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	38	5
2	52	5
3	80	5
4	108	5
5	157	5
6	589	5
7	4617	5
8	5002	5

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: 9.7b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
9.4b	(/ (- x (* y z)) (- t (* a z)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
4×	`flip3--` `flip--`
3×	`pow1` `associate-/r` `associate-/l`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

3 → 56

Calls

3 calls:

3.0ms	(- t (* a z))
3.0ms	(- x (* y z))
6.0ms	(/ (- x (* y z)) (- t (* a z)))

series114.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- t (* a z))
28.0ms	(- x (* y z))
56.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify82.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	251	407
1	852	375
2	3301	375
3	5001	375

prune192.0ms

Filtered

65 candidates to 50 candidates (76.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	51	14	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	14	66

Merged error: 9.4b

Counts

66 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
0.3b	(/ 1 (- t (* a z)))
9.3b	(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
6×	`flip3--` `flip--`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `sub-neg` `rec-exp` `diff-log` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 99

Calls

4 calls:

3.0ms	(- t (* a z))
3.0ms	(- x (* y z))
4.0ms	(/ 1 (- t (* a z)))
10.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

series159.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- t (* a z))
27.0ms	(- x (* y z))
48.0ms	(/ 1 (- t (* a z)))
52.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify42.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	333	667
1	1483	587
2	5002	561

prune210.0ms

Filtered

111 candidates to 70 candidates (63.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	108	3	111
Fresh	3	10	13
Picked	0	1	1
Done	0	0	0
Total	111	14	125

Merged error: 9.4b

Counts

125 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
0.6b	(/ 1 (/ (- t (* a z)) (- x (* y z))))
9.4b	(/ (- t (* a z)) (- x (* y z)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube`
8×	`flip3--` `div-exp` `flip--` `add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv`
2×	`sub-neg` `rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

4 → 140

Calls

4 calls:

3.0ms	(- t (* a z))
4.0ms	(- x (* y z))
13.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
13.0ms	(/ (- t (* a z)) (- x (* y z)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- t (* a z))
28.0ms	(- x (* y z))
202.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
52.0ms	(/ (- t (* a z)) (- x (* y z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	497	1437
1	2245	1305
2	5001	1219

prune258.0ms

Filtered

152 candidates to 87 candidates (57.2%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	149	3	152
Fresh	3	9	12
Picked	0	1	1
Done	0	1	1
Total	152	14	166

Merged error: 9.4b

Counts

166 → 14

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* y z))
0.3b	(/ 1 (- t (* a z)))
0.5b	(/ 1 (- x (* y z)))
9.1b	(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

531×	`times-frac`
244×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
69×	`associate-/r/`
52×	`add-exp-log`
36×	`div-exp`
35×	`flip3--` `flip--` `div-inv`
21×	`associate-/r` `associate-/l`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-flip` `inv-pow`
1×	`sub-neg` `diff-log` `associate-/l/`

Counts

4 → 365

Calls

4 calls:

3.0ms	(- x (* y z))
4.0ms	(/ 1 (- t (* a z)))
4.0ms	(/ 1 (- x (* y z)))
15.0ms	(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

series325.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- x (* y z))
51.0ms	(/ 1 (- t (* a z)))
42.0ms	(/ 1 (- x (* y z)))
202.0ms	(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

simplify90.0ms

Algorithm

egg-herbie

Counts

377 → 377

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1563	5327
1	5001	4825

prune603.0ms

Filtered

377 candidates to 188 candidates (49.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	376	1	377
Fresh	1	10	11
Picked	1	0	1
Done	0	2	2
Total	378	13	391

Merged error: 9.4b

Counts

391 → 13

regimes314.0ms

Accuracy

0% (0.4b remaining)

Error of 10.2b against oracle of 9.8b and baseline of 10.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	17	6

end0.0ms

sample520.0ms

Algorithm

intervals

Results

272.0ms

8764×

body

valid