Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

286×

body

valid

simplify108.0ms

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

prune3.0ms

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: 9.2b

Counts

2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- t (* a z))
9.0b	(/ (- x (* y z)) (- t (* a z)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `fma-neg` `prod-diff` `associate-/r` `flip--` `associate-/l`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 54

Calls

2 calls:

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

series96.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(- t (* a z))
58.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify102.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	246	397
1	829	362
2	3584	358
3	5001	351

prune186.0ms

Filtered

60 candidates to 47 candidates (78.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	49	11	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	11	61

Merged error: 9.0b

Counts

61 → 11

localize11.0ms

Local error

Found 1 expressions with local error:

9.0b	(/ (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)))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify119.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (37.0ms)

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

prune117.0ms

Filtered

32 candidates to 24 candidates (75.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	32	11	43

Merged error: 9.0b

Counts

43 → 11

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- t (* a z))
0.4b	(/ 1 (- t (* a z)))
8.9b	(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac`
16×	`add-exp-log`
15×	`associate-r`
10×	`add-cbrt-cube`
6×	`pow1`
5×	`flip3--` `flip--` `add-log-exp`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `fma-neg` `associate-l` `prod-diff` `associate-/r` `log1p-expm1-u` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 99

Calls

3 calls:

3.0ms	(- t (* a z))
5.0ms	(/ 1 (- t (* a z)))
11.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

series154.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- t (* a z))
52.0ms	(/ 1 (- t (* a z)))
64.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify57.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	350	667
1	1547	579
2	5002	552

prune237.0ms

Filtered

108 candidates to 70 candidates (64.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	3	6	9
Picked	0	1	1
Done	0	1	1
Total	107	12	119

Merged error: 8.9b

Counts

119 → 12

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- t (* a z))
0.3b	(/ 1 (/ (- t (* a z)) (- x (* y z))))
9.0b	(/ (- t (* a z)) (- x (* y z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
57×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`flip3--` `flip--`
6×	`div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `fma-neg` `prod-diff` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `inv-pow`

Counts

3 → 140

Calls

3 calls:

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

series317.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- t (* a z))
226.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
57.0ms	(/ (- t (* a z)) (- x (* y z)))

simplify77.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	514	1441
1	2312	1298
2	5003	1210

prune279.0ms

Filtered

149 candidates to 87 candidates (58.4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	149	12	161

Merged error: 8.9b

Counts

161 → 12

regimes342.0ms

Accuracy

0% (0.3b remaining)

Error of 10.8b against oracle of 10.5b and baseline of 10.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5

end0.0ms

sample610.0ms

Algorithm

intervals

Results

346.0ms

8770×

body

valid