Details

analyze659.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
7.8%	92%	0.2%	8
16.4%	83.4%	0.2%	9
23.8%	76%	0.2%	10
25.1%	74.7%	0.2%	11
38.1%	59.4%	2.5%	12
41.8%	55.3%	2.9%	13
46.5%	50.3%	3.1%	14

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	49×	body	80	invalid

simplify214.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (212.0ms)

Iter	Nodes	Cost
0	1852	11
1	1852	11

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 4.9b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ y z) (/ t (- 1.0 z)))
0.0b	(/ t (- 1.0 z))
4.7b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
31×	`times-frac`
15×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-r`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r*` `add-log-exp`
3×	`sub-neg` `flip3--` `associate-r/` `associate-l` `flip--` `associate-/l`
2×	`associate-/r/` `frac-sub`
1×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 86

Calls

3 calls:

21.0ms	(- (/ y z) (/ t (- 1.0 z)))
5.0ms	(/ t (- 1.0 z))
21.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series31.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (/ y z) (/ t (- 1.0 z)))
6.0ms	(/ t (- 1.0 z))
16.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify54.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5153	1120

prune168.0ms

Filtered

71 candidates to 95 candidates (-33.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	83	12	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	12	96

Merged error: 1.0b

Counts

96 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.0b	(/ 1 (- 1.0 z))
0.1b	(* t (/ 1 (- 1.0 z)))
4.7b	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
26×	`add-cube-cbrt`
24×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`pow1`
7×	`associate-*r/` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l` `add-log-exp`
5×	`prod-exp` `associate-/r*`
4×	`flip3--` `div-exp` `associate-/r/` `frac-sub` `flip--` `unswap-sqr`
3×	`sub-neg` `un-div-inv` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `diff-log` `clear-num` `inv-pow`

Counts

4 → 122

Calls

4 calls:

7.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
5.0ms	(/ 1 (- 1.0 z))
10.0ms	(* t (/ 1 (- 1.0 z)))
10.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series32.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
2.0ms	(/ 1 (- 1.0 z))
6.0ms	(* t (/ 1 (- 1.0 z)))
16.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5424	1298

prune180.0ms

Filtered

88 candidates to 134 candidates (-52.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	134	12	146

Merged error: 1.0b

Counts

146 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (- 1.0 z))
0.4b	(cbrt (- 1.0 z))
0.4b	(cbrt (- 1.0 z))
4.7b	(* x (- (/ y z) (/ (/ t (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (cbrt (- 1.0 z)))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
19×	`cbrt-prod` `times-frac`
15×	`associate-r`
13×	`difference-of-squares`
9×	`add-cube-cbrt`
6×	`pow1` `add-exp-log` `cbrt-div` `add-cbrt-cube`
5×	`distribute-lft-out--`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l*`
2×	`sub-neg`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

3.0ms	(cbrt (- 1.0 z))
3.0ms	(cbrt (- 1.0 z))
3.0ms	(cbrt (- 1.0 z))
80.0ms	(* x (- (/ y z) (/ (/ t (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (cbrt (- 1.0 z)))))

series38.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt (- 1.0 z))
9.0ms	(cbrt (- 1.0 z))
6.0ms	(cbrt (- 1.0 z))
17.0ms	(* x (- (/ y z) (/ (/ t (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (cbrt (- 1.0 z)))))

simplify70.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4916	1086
1	4916	1086

prune204.0ms

Filtered

71 candidates to 92 candidates (-29.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	3	7	10
Picked	0	1	1
Done	0	1	1
Total	94	10	104

Merged error: 0.5b

Counts

104 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
6.2b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.2b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.2b	(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
107×	`add-sqr-sqrt`
82×	`cbrt-prod`
64×	`times-frac`
36×	`distribute-lft-out--`
33×	`cbrt-div`
28×	`difference-of-squares`
17×	`swap-sqr`
15×	`add-cube-cbrt`
13×	`associate-r` `associate-l`
11×	`pow1` `flip3--` `frac-sub` `flip--`
9×	`frac-times` `pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-r/` `associate-l/`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 143

Calls

4 calls:

44.0ms	(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
17.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
17.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
19.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

series166.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
37.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
37.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
41.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify64.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5342	3098

prune310.0ms

Filtered

106 candidates to 155 candidates (-46.2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	154	11	165

Merged error: 0.5b

Counts

165 → 11

regimes690.0ms

Accuracy

86.4% (0.5b remaining)

Error of 1.3b against oracle of 0.8b and baseline of 4.8b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	137	71
1	137	71

end0.0ms

sample605.0ms

Algorithm

intervals

Results

294.0ms	8000×	body	80	valid
64.0ms	1794×	body	80	invalid

Details

analyze659.0ms

sample22.0ms

simplify214.0ms

prune7.0ms

localize8.0ms

rewrite51.0ms

series31.0ms

simplify54.0ms

prune168.0ms

localize9.0ms

rewrite37.0ms

series32.0ms

simplify62.0ms

prune180.0ms

localize15.0ms

rewrite92.0ms

series38.0ms

simplify70.0ms

prune204.0ms

localize12.0ms

rewrite106.0ms

series166.0ms

simplify64.0ms

prune310.0ms

regimes690.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample605.0ms

Profiling