Details

analyze719.0ms (20.8%)

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
3.1%	96.7%	0.2%	7
6.2%	93.6%	0.2%	8
8.6%	91.2%	0.2%	9
28.1%	71.7%	0.2%	10
31%	68.8%	0.2%	11
40.5%	59.3%	0.2%	12
49.6%	50.2%	0.2%	13
59%	40.8%	0.2%	14

sample22.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify42.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5153	17

prune7.0ms (0.2%)

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: 7.8b

Counts

2 → 1

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(- (* y z) x)
0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.8b	(/ (- (* y z) x) (- (* t z) x))

rewrite34.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

15.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0ms	(/ (- (* y z) x) (- (* t z) x))
4.0ms	(- (* y z) x)

series55.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
17.0ms	(/ (- (* y z) x) (- (* t z) x))
5.0ms	(- (* y z) x)

simplify54.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5052	1666

prune151.0ms (4.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	86	7	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	8	94

Merged error: 0.5b

Counts

94 → 8

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(/ (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
2.9b	(/ y (- (* z t) x))
3.0b	(/ x (- (* z t) x))
5.4b	(* z (/ y (- (* z t) x)))

rewrite45.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`*-un-lft-identity`
44×	`times-frac`
43×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
15×	`add-exp-log` `associate-r` `add-cbrt-cube`
10×	`associate-/r` `distribute-lft-out` `associate-/l`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
3×	`flip3--` `frac-2neg` `associate-l` `clear-num` `flip--`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`associate-+r-` `div-sub` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 133

Calls

4 calls:

18.0ms	(/ (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
12.0ms	(* z (/ y (- (* z t) x)))
5.0ms	(/ y (- (* z t) x))
5.0ms	(/ x (- (* z t) x))

series73.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
14.0ms	(* z (/ y (- (* z t) x)))
12.0ms	(/ x (- (* z t) x))
10.0ms	(/ y (- (* z t) x))

simplify48.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5221	2386

prune185.0ms (5.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	145	8	153

Merged error: 0.5b

Counts

153 → 8

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(pow (/ (+ x (/ (- (* y z) x) (- (* z t) x))) (+ x 1.0)) 3)
0.5b	(/ (+ x (/ (- (* y z) x) (- (* z t) x))) (+ x 1.0))
9.8b	(/ (- (* y z) x) (- (* z t) x))
13.4b	(cbrt (pow (/ (+ x (/ (- (* y z) x) (- (* z t) x))) (+ x 1.0)) 3))

rewrite67.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

144×	`*-un-lft-identity`
89×	`times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
50×	`cbrt-prod`
44×	`unpow-prod-down` `cube-prod`
42×	`distribute-lft-out`
12×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r` `associate-/l`
6×	`flip3-+` `flip-+` `div-inv`
5×	`pow1`
4×	`associate-/l/` `add-log-exp`
3×	`cbrt-undiv` `pow-unpow` `div-sub` `div-exp`
2×	`cube-div` `cube-mult` `flip3--` `frac-2neg` `unpow3` `pow-exp` `clear-num` `flip--` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `associate-+r-` `cbrt-div` `pow-pow` `pow1/3` `rem-cbrt-cube`

Counts

4 → 197

Calls

4 calls:

18.0ms	(cbrt (pow (/ (+ x (/ (- (* y z) x) (- (* z t) x))) (+ x 1.0)) 3))
17.0ms	(pow (/ (+ x (/ (- (* y z) x) (- (* z t) x))) (+ x 1.0)) 3)
15.0ms	(/ (+ x (/ (- (* y z) x) (- (* z t) x))) (+ x 1.0))
9.0ms	(/ (- (* y z) x) (- (* z t) x))

series296.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

208.0ms	(pow (/ (+ x (/ (- (* y z) x) (- (* z t) x))) (+ x 1.0)) 3)
38.0ms	(cbrt (pow (/ (+ x (/ (- (* y z) x) (- (* z t) x))) (+ x 1.0)) 3))
34.0ms	(/ (+ x (/ (- (* y z) x) (- (* z t) x))) (+ x 1.0))
16.0ms	(/ (- (* y z) x) (- (* z t) x))

simplify77.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5978	5014

prune343.0ms (9.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	207	2	209
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	209	8	217

Merged error: 0.5b

Counts

217 → 8

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x (- 0 (/ x (- (* z t) x)))) (+ x 1.0))
3.0b	(/ x (- (* z t) x))

rewrite24.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`*-un-lft-identity`
29×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`distribute-lft-out`
8×	`associate-/l*`
7×	`associate-/r*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`distribute-lft-out--`
4×	`associate-/r/`
2×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`associate-+r-` `flip3--` `sub0-neg` `unsub-neg` `flip--`

Counts

2 → 76

Calls

2 calls:

15.0ms	(/ (+ x (- 0 (/ x (- (* z t) x)))) (+ x 1.0))
5.0ms	(/ x (- (* z t) x))

series27.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(/ (+ x (- 0 (/ x (- (* z t) x)))) (+ x 1.0))
12.0ms	(/ x (- (* z t) x))

simplify53.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5173	1238

prune102.0ms (2.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	82	8	90

Merged error: 0.5b

Counts

90 → 8

regimes386.0ms (11.1%)

Accuracy

Total 1.2b remaining (82.8%)

Threshold costs 0b (0%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	89
1	56	89

end0.0ms (0%)

sample600.0ms (17.3%)

Algorithm

1×

intervals

Results

374.0ms	8000×	body	80	valid
15.0ms	332×	body	80	invalid

Details

analyze719.0ms (20.8%)

sample22.0ms (0.6%)

simplify42.0ms (1.2%)

prune7.0ms (0.2%)

localize11.0ms (0.3%)

rewrite34.0ms (1%)

series55.0ms (1.6%)

simplify54.0ms (1.5%)

prune151.0ms (4.4%)

localize12.0ms (0.4%)

rewrite45.0ms (1.3%)

series73.0ms (2.1%)

simplify48.0ms (1.4%)

prune185.0ms (5.3%)

localize17.0ms (0.5%)

rewrite67.0ms (1.9%)

series296.0ms (8.5%)

simplify77.0ms (2.2%)

prune343.0ms (9.9%)

localize12.0ms (0.3%)

rewrite24.0ms (0.7%)

series27.0ms (0.8%)

simplify53.0ms (1.5%)

prune102.0ms (2.9%)

regimes386.0ms (11.1%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample600.0ms (17.3%)

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