Details

analyze1.6s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 67.06543%

sample25.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	15×	body	80	invalid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	8
1	35	8
2	60	8
3	103	8
4	183	8
5	416	8
6	1194	8
7	5001	8

prune4.0ms

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: 7.8b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(- (* t z) x)
0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.6b	(/ (- (* y z) x) (- (* t z) x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
3×	`div-sub`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`associate-+r-`

Counts

4 → 97

Calls

4 calls:

3.0ms	(- (* y z) x)
4.0ms	(- (* t z) x)
14.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
13.0ms	(/ (- (* y z) x) (- (* t z) x))

series63.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* y z) x)
5.0ms	(- (* t z) x)
35.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
17.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify47.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	399	950
1	1413	884
2	5001	882

prune150.0ms

Filtered

78 candidates to 109 candidates (-39.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	103	6	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	6	110

Merged error: 1.0b

Counts

110 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.5b	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
0.6b	(/ 1 (- (* t z) x))
8.3b	(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
32×	`times-frac`
29×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`associate-r`
13×	`add-cbrt-cube`
7×	`pow1` `associate-/r*`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`flip3--` `div-exp` `flip--`
4×	`prod-exp` `distribute-lft-out`
3×	`cbrt-undiv` `associate-l` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `frac-2neg` `flip3-+` `1-exp` `associate-*l/` `clear-num` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 122

Calls

4 calls:

4.0ms	(- (* t z) x)
7.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
6.0ms	(/ 1 (- (* t z) x))
13.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

series67.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* t z) x)
37.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
7.0ms	(/ 1 (- (* t z) x))
17.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	468	1136
1	2109	1015
2	5003	984

prune142.0ms

Filtered

88 candidates to 134 candidates (-52.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	134	6	140

Merged error: 1.0b

Counts

140 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.6b	(/ (- (* y z) x) (- (* t z) x))
8.6b	(/ (- (* y z) x) (- (* t z) x))
8.6b	(/ (- (* y z) x) (- (* t z) x))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
43×	`times-frac`
38×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`associate-/r` `associate-/l`
12×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out`
8×	`associate-/r/` `associate-/l/`
6×	`flip3--` `flip--`
5×	`div-sub`
4×	`pow1` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`
2×	`flip3-+` `flip-+`
1×	`associate-+r-`

Counts

4 → 137

Calls

4 calls:

15.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0ms	(/ (- (* y z) x) (- (* t z) x))
9.0ms	(/ (- (* y z) x) (- (* t z) x))
9.0ms	(/ (- (* y z) x) (- (* t z) x))

series90.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
18.0ms	(/ (- (* y z) x) (- (* t z) x))
20.0ms	(/ (- (* y z) x) (- (* t z) x))
18.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify50.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	363	1420
1	1306	1320
2	5001	1320

prune258.0ms

Filtered

116 candidates to 149 candidates (-28.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	149	6	155

Merged error: 1.0b

Counts

155 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (pow (- (* t z) x) 3))
0.5b	(/ (+ x (* (- (* y z) x) (cbrt (/ 1 (pow (- (* t z) x) 3))))) (+ x 1.0))
8.3b	(* (- (* y z) x) (cbrt (/ 1 (pow (- (* t z) x) 3))))
35.3b	(cbrt (/ 1 (pow (- (* t z) x) 3)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

128×	`times-frac`
106×	`add-sqr-sqrt`
96×	`*-un-lft-identity`
93×	`cbrt-prod`
84×	`add-cube-cbrt`
45×	`associate-r`
32×	`unpow-prod-down` `cube-prod`
17×	`add-exp-log`
16×	`associate-/r*`
12×	`sqr-pow`
10×	`cube-mult` `unpow3` `unswap-sqr`
9×	`add-cbrt-cube`
8×	`associate-/r/`
7×	`div-exp`
6×	`pow1` `cube-div` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-div` `div-inv` `distribute-lft-out` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `1-exp` `associate-l` `pow-exp`
2×	`cbrt-undiv` `frac-times` `frac-2neg` `flip3-+` `associate-*l/` `clear-num` `flip-+` `associate-/l/`
1×	`pow-flip` `pow1/3` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `inv-pow`

Counts

4 → 235

Calls

4 calls:

8.0ms	(/ 1 (pow (- (* t z) x) 3))
7.0ms	(/ (+ x (* (- (* y z) x) (cbrt (/ 1 (pow (- (* t z) x) 3))))) (+ x 1.0))
23.0ms	(* (- (* y z) x) (cbrt (/ 1 (pow (- (* t z) x) 3))))
8.0ms	(cbrt (/ 1 (pow (- (* t z) x) 3)))

series74.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/ 1 (pow (- (* t z) x) 3))
37.0ms	(/ (+ x (* (- (* y z) x) (cbrt (/ 1 (pow (- (* t z) x) 3))))) (+ x 1.0))
17.0ms	(* (- (* y z) x) (cbrt (/ 1 (pow (- (* t z) x) 3))))
7.0ms	(cbrt (/ 1 (pow (- (* t z) x) 3)))

simplify77.0ms

Algorithm

egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	632	2549
1	2765	2183
2	5001	2179

prune255.0ms

Filtered

120 candidates to 247 candidates (-105.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	247	0	247
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	247	6	253

Merged error: 1.0b

Counts

253 → 6

regimes421.0ms

Accuracy

81.2% (1.3b remaining)

Error of 2.3b against oracle of 1.0b and baseline of 8.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	29
1	39	29

end0.0ms

analyze1.7s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 67.06543%

sample644.0ms

Algorithm

intervals

Results

389.0ms	8000×	body	80	valid
15.0ms	317×	body	80	invalid

Details

analyze1.6s

sample25.0ms

simplify44.0ms

prune4.0ms

localize11.0ms

rewrite37.0ms

series63.0ms

simplify47.0ms

prune150.0ms

localize12.0ms

rewrite33.0ms

series67.0ms

simplify60.0ms

prune142.0ms

localize16.0ms

rewrite46.0ms

series90.0ms

simplify50.0ms

prune258.0ms

localize16.0ms

rewrite56.0ms

series74.0ms

simplify77.0ms

prune255.0ms

regimes421.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze1.7s

sample644.0ms

Profiling