Details

sample24.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
7.0ms	255×	body	80	nan

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	21	7
1	41	6
2	69	6
3	95	6
4	125	6
5	140	6
6	142	6
7	142	6

prune6.0ms

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: 0.0b

Counts

2 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

128×	`times-frac`
95×	`add-sqr-sqrt` `*-un-lft-identity`
67×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `flip--` `fma-udef`

Counts

3 → 142

Calls

3 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
9.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
4.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

series166.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
80.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
47.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

simplify72.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	627	1691
1	2379	1609
2	5002	1609

prune296.0ms

Filtered

151 candidates to 117 candidates (77.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	147	4	151
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	148	5	153

Merged error: 0b

Counts

153 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 1.0) 6.0)
0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))
0.2b	(* (/ 1 (fma (sqrt x) 4.0 (+ x 1.0))) (* (- x 1.0) 6.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`add-cbrt-cube`
18×	`times-frac` `associate-l`
13×	`prod-exp`
12×	`pow1`
7×	`associate-*l/` `cbrt-unprod`
6×	`div-exp`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `associate-/r` `flip--` `associate-/l`
2×	`frac-times` `associate-r/` `-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `fma-udef` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

6.0ms	(* (- x 1.0) 6.0)
1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
3.0ms	(/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))
10.0ms	(* (/ 1 (fma (sqrt x) 4.0 (+ x 1.0))) (* (- x 1.0) 6.0))

series214.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (- x 1.0) 6.0)
35.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
58.0ms	(/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))
78.0ms	(* (/ 1 (fma (sqrt x) 4.0 (+ x 1.0))) (* (- x 1.0) 6.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	447	845
1	2027	713
2	5003	691

prune193.0ms

Filtered

122 candidates to 82 candidates (67.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	122	5	127

Merged error: 0b

Counts

127 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (- x 1.0) (* (fma (sqrt x) 4.0 (+ x 1.0)) (/ 1 6.0)))
0.2b	(* (fma (sqrt x) 4.0 (+ x 1.0)) (/ 1 6.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
24×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
17×	`add-cbrt-cube`
16×	`times-frac`
13×	`add-cube-cbrt` `associate-r`
9×	`div-exp`
8×	`prod-exp`
5×	`pow1` `cbrt-undiv` `associate-/l*`
4×	`cbrt-unprod`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`rec-exp` `1-exp` `associate-*r/` `associate-/r/` `un-div-inv` `div-inv` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`flip3--` `frac-2neg` `div-sub` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `flip--` `fma-udef`

Counts

3 → 84

Calls

3 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
9.0ms	(/ (- x 1.0) (* (fma (sqrt x) 4.0 (+ x 1.0)) (/ 1 6.0)))
7.0ms	(* (fma (sqrt x) 4.0 (+ x 1.0)) (/ 1 6.0))

series163.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
79.0ms	(/ (- x 1.0) (* (fma (sqrt x) 4.0 (+ x 1.0)) (/ 1 6.0)))
49.0ms	(* (fma (sqrt x) 4.0 (+ x 1.0)) (/ 1 6.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	426	735
1	1755	608
2	5003	593

prune154.0ms

Filtered

93 candidates to 66 candidates (71.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	1	2
Picked	0	1	1
Done	1	1	2
Total	94	4	98

Merged error: 0b

Counts

98 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
0.0b	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
1.3b	(pow (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
38×	`exp-prod`
34×	`add-cube-cbrt`
20×	`pow-pow`
10×	`distribute-lft-out--` `difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`unpow-prod-down` `pow-unpow` `associate-/r*` `div-inv`
2×	`div-sub` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `flip3--` `frac-2neg` `exp-diff` `div-exp` `pow-exp` `clear-num` `flip--` `fma-udef` `rem-exp-log` `sqr-pow`

Counts

4 → 118

Calls

4 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
6.0ms	(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
6.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
8.0ms	(pow (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0)

series397.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
98.0ms	(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
73.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
189.0ms	(pow (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0)

simplify55.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	461	1084
1	1545	1019
2	5002	1013

prune342.0ms

Filtered

130 candidates to 103 candidates (79.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	130	4	134

Merged error: 0b

Counts

134 → 4

regimes20.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	8
1	13	8

end0.0ms

sample633.0ms

Algorithm

intervals

Results

236.0ms	8000×	body	80	valid
210.0ms	7950×	body	80	nan