Details

analyze366.0ms (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%	68.6%	31.4%	5
0%	65.5%	34.5%	6
0%	59.2%	40.8%	7
0%	51.4%	48.6%	8
0%	41.3%	58.7%	9
0%	28.4%	71.6%	10
2.3%	22.3%	75.4%	11
2.3%	21%	76.7%	12
2.7%	18%	79.3%	13
2.7%	16.4%	80.8%	14

sample43.0ms (0.9%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	80	valid
9.0ms	141×	body	80	nan

simplify111.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	5198	16

prune11.0ms (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: 0.3b

Counts

2 → 1

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`*-un-lft-identity`
19×	`log-prod`
18×	`add-sqr-sqrt`
15×	`pow1`
14×	`add-log-exp`
12×	`add-cube-cbrt`
9×	`associate-+r+` `log-pow` `distribute-lft-out`
6×	`add-exp-log` `distribute-rgt-in` `associate-+l+` `flip3--` `distribute-lft-in` `associate-*l/` `sum-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`
5×	`associate-+l-` `associate-l`
4×	`log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+`
2×	`+-commutative` `associate--l-` `sub-neg` `associate--l+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

12.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
7.0ms	(- (+ (log (+ x y)) (log z)) t)
7.0ms	(+ (log (+ x y)) (log z))
6.0ms	(* (- a 0.5) (log t))

series106.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
32.0ms	(- (+ (log (+ x y)) (log z)) t)
14.0ms	(+ (log (+ x y)) (log z))
9.0ms	(* (- a 0.5) (log t))

simplify31.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5089	1608

prune223.0ms (4.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	102	10	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	10	113

Merged error: 0.0b

Counts

113 → 10

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(- (* (- a 0.5) (log t)) t)
0.1b	(* (- a 0.5) (log t))
0.1b	(+ (log (+ x y)) (+ (log z) (- (* (- a 0.5) (log t)) t)))
0.1b	(+ (log z) (- (* (- a 0.5) (log t)) t))

rewrite41.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`*-un-lft-identity`
25×	`log-prod`
18×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
13×	`pow1` `distribute-lft-out` `add-log-exp`
12×	`associate--l+`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-+r+`
7×	`associate-+l+` `sum-log` `log-pow`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`associate-r`
3×	`associate-+r-` `flip3-+` `diff-log` `flip-+`
2×	`+-commutative` `associate-+l-` `sub-neg` `log-div` `flip3--` `associate-*l/` `flip--`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

14.0ms	(+ (log (+ x y)) (+ (log z) (- (* (- a 0.5) (log t)) t)))
9.0ms	(+ (log z) (- (* (- a 0.5) (log t)) t))
7.0ms	(* (- a 0.5) (log t))
7.0ms	(- (* (- a 0.5) (log t)) t)

series92.0ms (2%)

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (log (+ x y)) (+ (log z) (- (* (- a 0.5) (log t)) t)))
22.0ms	(+ (log z) (- (* (- a 0.5) (log t)) t))
10.0ms	(- (* (- a 0.5) (log t)) t)
10.0ms	(* (- a 0.5) (log t))

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5038	1469

prune198.0ms (4.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	110	10	120

Merged error: 0.0b

Counts

120 → 10

localize26.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(* (log z) (log z))
0.6b	(- (log (+ x y)) (log z))
0.7b	(pow (log (+ x y)) 3)
0.8b	(pow (log z) 3)

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`pow1`
26×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
14×	`log-pow`
13×	`log-prod`
8×	`add-exp-log` `unpow-prod-down` `cube-prod` `add-cbrt-cube`
6×	`pow-unpow` `swap-sqr`
4×	`associate-r` `associate-l` `associate--l+` `distribute-lft-out--` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
2×	`associate--l-` `cube-mult` `pow-to-exp` `log-div` `pow-pow` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow2` `sub-neg` `flip3--` `flip3-+` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `difference-of-squares` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

9.0ms	(- (log (+ x y)) (log z))
5.0ms	(* (log z) (log z))
3.0ms	(pow (log (+ x y)) 3)
3.0ms	(pow (log z) 3)

series111.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

64.0ms	(pow (log (+ x y)) 3)
18.0ms	(pow (log z) 3)
15.0ms	(* (log z) (log z))
14.0ms	(- (log (+ x y)) (log z))

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4970	779
1	4970	779

prune272.0ms (5.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	123	10	133

Merged error: 0.0b

Counts

133 → 10

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.5b	(cbrt t)
0.5b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
26×	`*-un-lft-identity`
24×	`cbrt-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`associate-+r+`
8×	`pow1` `associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
4×	`add-exp-log` `flip3--` `frac-add` `log-pow` `add-cbrt-cube` `flip--`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`

Counts

4 → 98

Calls

4 calls:

15.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
7.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series98.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
22.0ms	(cbrt t)
22.0ms	(cbrt t)
15.0ms	(+ (log (+ x y)) (log z))

simplify29.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5407	1254

prune173.0ms (3.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	7	7
Picked	1	0	1
Done	0	2	2
Total	110	10	120

Merged error: 0b

Counts

120 → 10

regimes1.1s (25.1%)

Accuracy

Total 0.2b remaining (92.3%)

Threshold costs 0.2b (92.3%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	16
1	37	16

end0.0ms (0%)

sample1.2s (27.2%)

Algorithm

1×

intervals

Results

594.0ms	8000×	body	80	valid
277.0ms	4301×	body	80	nan
2.0ms	32×	body	80	invalid

Details

analyze366.0ms (8%)

sample43.0ms (0.9%)

simplify111.0ms (2.4%)

prune11.0ms (0.2%)

localize14.0ms (0.3%)

rewrite36.0ms (0.8%)

series106.0ms (2.3%)

simplify31.0ms (0.7%)

prune223.0ms (4.9%)

localize15.0ms (0.3%)

rewrite41.0ms (0.9%)

series92.0ms (2%)

simplify60.0ms (1.3%)

prune198.0ms (4.3%)

localize26.0ms (0.6%)

rewrite22.0ms (0.5%)

series111.0ms (2.4%)

simplify54.0ms (1.2%)

prune272.0ms (5.9%)

localize21.0ms (0.5%)

rewrite30.0ms (0.7%)

series98.0ms (2.1%)

simplify29.0ms (0.6%)

prune173.0ms (3.8%)

regimes1.1s (25.1%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample1.2s (27.2%)

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