Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

281×

body

valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	38	5
2	60	5
3	88	5
4	122	5
5	175	5
6	625	5
7	4686	5
8	5001	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)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
6×	`fma-neg` `prod-diff`
5×	`add-exp-log` `add-cbrt-cube`
4×	`flip3--` `flip--`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `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 → 74

Calls

3 calls:

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

series128.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- t (* a z))
32.0ms	(- x (* y z))
64.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify127.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	296	491
1	972	444
2	4276	439
3	5001	435

prune246.0ms

Filtered

83 candidates to 66 candidates (79.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	69	14	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	14	84

Merged error: 9.4b

Counts

84 → 14

localize10.0ms

Local error

Found 1 expressions with local error:

9.4b	(/ (fma z y (- x)) (fma z a (- t)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

3.0ms

(/ (fma z y (- x)) (fma z a (- t)))

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(/ (fma z y (- x)) (fma z a (- t)))

simplify112.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	94	267
1	259	245
2	954	245
3	3727	243
4	5003	243

prune124.0ms

Filtered

32 candidates to 24 candidates (75.0%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	2	11	13
Picked	0	1	1
Done	0	0	0
Total	31	15	46

Merged error: 9.4b

Counts

46 → 15

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`times-frac`
19×	`*-un-lft-identity`
18×	`add-cube-cbrt`
15×	`add-exp-log`
13×	`associate-r`
9×	`add-cbrt-cube`
5×	`pow1`
4×	`div-exp` `prod-exp`
3×	`associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 71

Calls

2 calls:

3.0ms	(/ 1 (fma z a (- t)))
8.0ms	(* (fma z y (- x)) (/ 1 (fma z a (- t))))

series95.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ 1 (fma z a (- t)))
60.0ms	(* (fma z y (- x)) (/ 1 (fma z a (- t))))

simplify80.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	197	509
1	782	439
2	3926	409
3	5001	408

prune184.0ms

Filtered

77 candidates to 44 candidates (57.1%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	77	15	92

Merged error: 9.4b

Counts

92 → 15

localize15.0ms

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)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
60×	`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×	`fma-neg` `prod-diff` `div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
2×	`sub-neg` `rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

4 → 160

Calls

4 calls:

3.0ms	(- t (* a z))
3.0ms	(- x (* y z))
8.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
7.0ms	(/ (- t (* a z)) (- x (* y z)))

series346.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- t (* a z))
29.0ms	(- x (* y z))
221.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
59.0ms	(/ (- t (* a z)) (- x (* y z)))

simplify75.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	544	1535
1	2368	1380
2	5003	1291

prune330.0ms

Filtered

172 candidates to 104 candidates (60.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	170	2	172
Fresh	2	10	12
Picked	1	0	1
Done	1	1	2
Total	174	13	187

Merged error: 9.4b

Counts

187 → 13

regimes269.0ms

Accuracy

0% (0.3b remaining)

Error of 10.1b against oracle of 9.8b and baseline of 10.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5

end0.0ms

sample546.0ms

Algorithm

intervals

Results

282.0ms

8764×

body

valid