Details

analyze653.0ms (17%)

Algorithm

1×

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

sample27.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	64×	body	80	invalid

simplify255.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (254.0ms)

Iter	Nodes	Cost
0	1852	11
1	1852	11

prune7.0ms (0.2%)

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: 5.2b

Counts

2 → 1

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(- (/ y z) (/ t (- 1.0 z)))
5.0b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite50.0ms (1.3%)

Algorithm

1×	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:

22.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
21.0ms	(- (/ y z) (/ t (- 1.0 z)))
5.0ms	(/ t (- 1.0 z))

series30.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

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

simplify50.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5153	1120

prune185.0ms (4.8%)

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: 0.1b

Counts

96 → 12

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
5.5b	(* x (neg (/ t (- 1.0 z))))
6.5b	(* x (/ y z))

rewrite36.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
59×	`associate-r`
55×	`times-frac`
42×	`add-cube-cbrt`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
13×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
6×	`associate-l` `associate-/r/` `add-log-exp`
5×	`associate-/r*`
4×	`associate-*r/` `div-inv`
3×	`flip3--` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `distribute-rgt-neg-out` `distribute-neg-frac`
1×	`+-commutative` `neg-mul-1` `frac-2neg` `flip3-+` `unsub-neg` `frac-add` `clear-num` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 146

Calls

4 calls:

14.0ms	(* x (neg (/ t (- 1.0 z))))
6.0ms	(* x (/ y z))
5.0ms	(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
5.0ms	(/ t (- 1.0 z))

series44.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
11.0ms	(* x (neg (/ t (- 1.0 z))))
9.0ms	(/ t (- 1.0 z))
5.0ms	(* x (/ y z))

simplify73.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5084	1488

prune285.0ms (7.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	152	6	158
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	157	13	170

Merged error: 0.0b

Counts

170 → 13

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
4.2b	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
5.5b	(* x (neg (/ t (- 1.0 z))))

rewrite35.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

71×	`add-sqr-sqrt`
68×	`associate-r`
58×	`times-frac`
53×	`*-un-lft-identity`
41×	`add-cube-cbrt`
27×	`add-exp-log`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
20×	`add-cbrt-cube`
17×	`cbrt-prod`
10×	`associate-l`
9×	`prod-exp` `cbrt-unprod`
8×	`pow1`
7×	`cbrt-undiv` `div-exp` `unswap-sqr`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`associate-/r/` `div-inv` `add-log-exp`
2×	`flip3--` `pow1/3` `associate-r/` `pow-prod-down` `-commutative` `flip--`
1×	`frac-times` `neg-mul-1` `associate-*l/` `distribute-rgt-neg-out` `distribute-neg-frac`

Counts

4 → 144

Calls

4 calls:

14.0ms	(* x (neg (/ t (- 1.0 z))))
13.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series68.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt z)
22.0ms	(cbrt z)
12.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
11.0ms	(* x (neg (/ t (- 1.0 z))))

simplify93.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4950	1404
1	4950	1404

prune250.0ms (6.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	153	3	156
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	157	12	169

Merged error: 0.0b

Counts

169 → 12

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 z))
0.0b	(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b	(* t (/ 1 (- 1.0 z)))
5.0b	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite34.0ms (0.9%)

Algorithm

1×	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:

10.0ms	(* t (/ 1 (- 1.0 z)))
8.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))
6.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
5.0ms	(/ 1 (- 1.0 z))

series55.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))
14.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
12.0ms	(* t (/ 1 (- 1.0 z)))
3.0ms	(/ 1 (- 1.0 z))

simplify57.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5424	1298

prune186.0ms (4.8%)

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: 0.0b

Counts

146 → 12

regimes720.0ms (18.7%)

Accuracy

Total 0.7b remaining (95.7%)

Threshold costs 0.7b (95.7%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	167	120
1	167	120

end0.0ms (0%)

sample607.0ms (15.8%)

Algorithm

1×

intervals

Results

295.0ms	8000×	body	80	valid
63.0ms	1818×	body	80	invalid

Details

analyze653.0ms (17%)

sample27.0ms (0.7%)

simplify255.0ms (6.6%)

prune7.0ms (0.2%)

localize8.0ms (0.2%)

rewrite50.0ms (1.3%)

series30.0ms (0.8%)

simplify50.0ms (1.3%)

prune185.0ms (4.8%)

localize10.0ms (0.3%)

rewrite36.0ms (0.9%)

series44.0ms (1.2%)

simplify73.0ms (1.9%)

prune285.0ms (7.4%)

localize15.0ms (0.4%)

rewrite35.0ms (0.9%)

series68.0ms (1.8%)

simplify93.0ms (2.4%)

prune250.0ms (6.5%)

localize10.0ms (0.2%)

rewrite34.0ms (0.9%)

series55.0ms (1.4%)

simplify57.0ms (1.5%)

prune186.0ms (4.8%)

regimes720.0ms (18.7%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample607.0ms (15.8%)

Profiling