Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

280×

body

valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	61	4
3	113	4
4	173	4
5	232	4
6	280	4
7	353	4
8	485	4
9	644	4
10	1095	4
11	1319	4
12	1491	4
13	1513	4
14	1513	4

prune11.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
2.6b	(fma (/ y (- z a)) (- z t) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

6.0ms	(/ y (- z a))
1.0ms	(fma (/ y (- z a)) (- z t) x)

series116.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ y (- z a))
86.0ms	(fma (/ y (- z a)) (- z t) x)

simplify114.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (109.0ms)

Iter	Nodes	Cost
0	170	266
1	464	247
2	1318	247
3	4468	246
4	5001	244

prune153.0ms

Filtered

55 candidates to 43 candidates (78.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	50	7	57

Merged error: 0.0b

Counts

57 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
2.6b	(fma (/ (* (cbrt y) (cbrt y)) (/ (- z a) (cbrt y))) (- z t) x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(fma (/ (* (cbrt y) (cbrt y)) (/ (- z a) (cbrt y))) (- z t) x)

series699.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt y)
197.0ms	(cbrt y)
193.0ms	(cbrt y)
118.0ms	(fma (/ (* (cbrt y) (cbrt y)) (/ (- z a) (cbrt y))) (- z t) x)

simplify182.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	89	266
1	221	236
2	767	226
3	4895	224
4	5001	224

prune197.0ms

Filtered

61 candidates to 54 candidates (88.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	61	7	68

Merged error: 0.0b

Counts

68 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

2.6b	(fma (* (* (cbrt (/ y (- z a))) (cbrt (/ y (- z a)))) (cbrt (/ y (- z a)))) (- z t) x)
16.3b	(cbrt (/ y (- z a)))
16.3b	(cbrt (/ y (- z a)))
16.3b	(cbrt (/ y (- z a)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
49×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
31×	`add-cube-cbrt`
9×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `flip--` `div-inv`
1×	`fma-udef`

Counts

4 → 106

Calls

4 calls:

1.0ms	(fma (* (* (cbrt (/ y (- z a))) (cbrt (/ y (- z a)))) (cbrt (/ y (- z a)))) (- z t) x)
6.0ms	(cbrt (/ y (- z a)))
5.0ms	(cbrt (/ y (- z a)))
6.0ms	(cbrt (/ y (- z a)))

series701.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(fma (* (* (cbrt (/ y (- z a))) (cbrt (/ y (- z a)))) (cbrt (/ y (- z a)))) (- z t) x)
196.0ms	(cbrt (/ y (- z a)))
190.0ms	(cbrt (/ y (- z a)))
192.0ms	(cbrt (/ y (- z a)))

simplify136.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	227	990
1	482	941
2	1353	928
3	4750	904
4	5001	904

prune401.0ms

Filtered

118 candidates to 99 candidates (83.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	118	7	125

Merged error: 0.0b

Counts

125 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y (- z a)) (- z t) x))
2.6b	(fma (/ y (- z a)) (- z t) x)
2.6b	(fma (/ y (- z a)) (- z t) x)
2.6b	(fma (/ y (- z a)) (- z t) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (/ y (- z a)) (- z t) x))
1.0ms	(fma (/ y (- z a)) (- z t) x)
1.0ms	(fma (/ y (- z a)) (- z t) x)
1.0ms	(fma (/ y (- z a)) (- z t) x)

series514.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(cbrt (fma (/ y (- z a)) (- z t) x))
86.0ms	(fma (/ y (- z a)) (- z t) x)
86.0ms	(fma (/ y (- z a)) (- z t) x)
86.0ms	(fma (/ y (- z a)) (- z t) x)

simplify83.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (77.0ms)

Iter	Nodes	Cost
0	82	333
1	161	295
2	453	293
3	1792	290
4	5003	287

prune192.0ms

Filtered

55 candidates to 50 candidates (90.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	54	8	62

Merged error: 0.0b

Counts

62 → 8

regimes311.0ms

Accuracy

93.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	17
1	23	17

end0.0ms

sample563.0ms

Algorithm

intervals

Results

281.0ms	8719×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid