Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	38	7
1	72	7
2	167	6
3	354	6
4	646	6
5	921	6
6	1060	6
7	1331	6
8	1792	6
9	1860	6
10	1861	6
11	1861	6

prune9.0ms

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: 14.6b

Counts

2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ z 6.012459259764103) z 3.350343815022304)
0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
3.5b	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
15.4b	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

1.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
1.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
3.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series244.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
26.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
64.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
134.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify104.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	245	408
1	760	361
2	3482	358
3	5001	356

prune242.0ms

Filtered

71 candidates to 59 candidates (83.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	67	6	73

Merged error: 0.0b

Counts

73 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

14.0b	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.0b	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.0b	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
15.4b	(fma (* (/ 1 (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (/ y (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite5.0ms

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 (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms	(fma (* (/ 1 (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (/ y (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series575.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
113.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
110.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
232.0ms	(fma (* (/ 1 (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (/ y (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify79.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	194	563
1	578	504
2	2319	479
3	5002	461

prune272.0ms

Filtered

61 candidates to 56 candidates (91.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	61	6	67

Merged error: 0.0b

Counts

67 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.6b	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
3.3b	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
15.4b	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `fma-udef`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

4 → 127

Calls

4 calls:

1.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
6.0ms	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
4.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
1.0ms	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series202.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
42.0ms	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
45.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
88.0ms	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify67.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	475	1087
1	1998	960
2	5002	880

prune309.0ms

Filtered

139 candidates to 85 candidates (61.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	139	6	145

Merged error: 0b

Counts

145 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ z 6.012459259764103) z 3.350343815022304)
0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
3.3b	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
19.4b	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `fma-udef`
1×	`associate-/r/`

Counts

4 → 121

Calls

4 calls:

1.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
1.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
3.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
6.0ms	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))

series171.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
26.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
40.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
80.0ms	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))

simplify60.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	447	1236
1	1704	1156
2	5003	1154

prune364.0ms

Filtered

133 candidates to 109 candidates (82.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	133	6	139

Merged error: 0b

Counts

139 → 6

regimes157.0ms

Accuracy

96% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 16.0b

bsearch129.0ms

Steps

Iters	Range		Point
8	9.27670364373335e-22	3.029362037509861e-19	2.994202348712044e-19
7	-1.14188450464165e+26	-2.00687694352465e+24	-2.0343412892772503e+24

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	10
1	31	10

end0.0ms

sample589.0ms

Algorithm

intervals

Results

410.0ms

8000×

body

valid