Details

analyze1.4s (13.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

sample160.0ms (1.6%)

Algorithm

1×

intervals

Results

95.0ms	104×	body	1280	valid
41.0ms	91×	body	640	valid
10.0ms	42×	body	320	valid
4.0ms	256×	pre	80	true
2.0ms	16×	body	160	valid
0.0ms	3×	body	80	valid

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5257	9

prune5.0ms (0%)

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: 63.0b

Counts

2 → 1

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.8b	(log (- 1.0 x))
4.8b	(log (+ 1.0 x))

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`times-frac`
15×	`pow1` `add-cube-cbrt`
12×	`log-pow`
9×	`log-prod`
7×	`add-exp-log`
6×	`log-div`
5×	`add-cbrt-cube`
4×	`associate-/r` `associate-/l`
3×	`add-log-exp`
2×	`flip3--` `div-sub` `rem-log-exp` `flip--`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 69

Calls

3 calls:

6.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms	(log (- 1.0 x))
3.0ms	(log (+ 1.0 x))

series22.0ms (0.2%)

Counts

3 → 9

Calls

3 calls:

16.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (- 1.0 x))

simplify43.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5003	1101

prune179.0ms (1.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	73	5	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	5	79

Merged error: 60.7b

Counts

79 → 5

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(* 1/2 (/ (* x x) (* 1.0 1.0)))
0.0b	(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (* x x) (* 1.0 1.0)))))
4.8b	(log (- 1.0 x))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-exp-log`
23×	`add-cbrt-cube`
20×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
14×	`times-frac`
10×	`pow1`
9×	`prod-exp` `cbrt-unprod`
5×	`cbrt-undiv` `log-prod` `div-exp` `associate-r` `log-pow`
4×	`log-div` `associate-/r/` `associate-/l*`
3×	`flip3--` `associate-r/` `associate-l` `associate-/r` `flip--` `add-log-exp`
2×	`div-sub` `frac-sub` `div-inv` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `rem-log-exp` `pow-prod-down` `clear-num` `*-commutative` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 83

Calls

3 calls:

11.0ms	(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (* x x) (* 1.0 1.0)))))
8.0ms	(* 1/2 (/ (* x x) (* 1.0 1.0)))
3.0ms	(log (- 1.0 x))

series15.0ms (0.2%)

Counts

3 → 9

Calls

3 calls:

10.0ms	(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (* x x) (* 1.0 1.0)))))
3.0ms	(log (- 1.0 x))
3.0ms	(* 1/2 (/ (* x x) (* 1.0 1.0)))

simplify34.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5060	1823

prune236.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	94	3	97

Merged error: 0.0b

Counts

97 → 3

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(* 1/2 (/ (* x x) (* 1.0 1.0)))
0.0b	(* 1/2 (/ (* x x) (* 1.0 1.0)))
0.0b	(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (* x x) (* 1.0 1.0))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (* x x) (* 1.0 1.0)))))

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-exp-log` `add-cbrt-cube`
32×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
22×	`times-frac`
18×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
11×	`pow1`
10×	`associate-r`
9×	`cbrt-undiv` `div-exp`
8×	`distribute-lft-out--`
6×	`associate-l` `associate-/l*`
4×	`associate-*r/` `associate-/r/` `log-pow` `difference-of-squares` `unswap-sqr`
3×	`associate-/r*` `div-inv` `add-log-exp`
2×	`flip3--` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `associate-/l/`
1×	`frac-2neg` `flip3-+` `div-sub` `clear-num` `flip-+`

Counts

3 → 106

Calls

3 calls:

15.0ms	(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (* x x) (* 1.0 1.0))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (* x x) (* 1.0 1.0)))))
8.0ms	(* 1/2 (/ (* x x) (* 1.0 1.0)))
8.0ms	(* 1/2 (/ (* x x) (* 1.0 1.0)))

series13.0ms (0.1%)

Counts

3 → 9

Calls

3 calls:

8.0ms	(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (* x x) (* 1.0 1.0))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (* x x) (* 1.0 1.0)))))
3.0ms	(* 1/2 (/ (* x x) (* 1.0 1.0)))
3.0ms	(* 1/2 (/ (* x x) (* 1.0 1.0)))

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4980	2782
1	4980	2782

prune368.0ms (3.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	114	4	118

Merged error: 0b

Counts

118 → 4

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (/ (* x x) (* 1.0 1.0)))
0.0b	(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (* x x) (* 1.0 1.0))))) (- (+ (log 1.0) (* 1.0 x)) (* 1/2 (/ (* x x) (* 1.0 1.0)))))
0.0b	(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (* x x) (* 1.0 1.0))))) (- (+ (log 1.0) (* 1.0 x)) (* 1/2 (/ (* x x) (* 1.0 1.0)))))
0.0b	(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (* x x) (* 1.0 1.0))))) (- (+ (log 1.0) (* 1.0 x)) (* 1/2 (/ (* x x) (* 1.0 1.0)))))

rewrite57.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`*-un-lft-identity`
66×	`add-sqr-sqrt`
56×	`times-frac`
39×	`add-cube-cbrt`
28×	`add-exp-log` `add-cbrt-cube`
24×	`distribute-lft-out--`
18×	`pow1` `associate-/l*`
12×	`associate-/r/` `log-pow` `difference-of-squares`
9×	`prod-exp` `associate-/r*` `cbrt-unprod`
7×	`cbrt-undiv` `associate-*r/` `div-exp`
6×	`flip3--` `frac-sub` `flip--` `associate-/l/`
5×	`associate-r`
4×	`div-inv` `add-log-exp`
3×	`frac-2neg` `flip3-+` `div-sub` `associate-l` `clear-num` `flip-+`
2×	`unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 168

Calls

4 calls:

14.0ms	(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (* x x) (* 1.0 1.0))))) (- (+ (log 1.0) (* 1.0 x)) (* 1/2 (/ (* x x) (* 1.0 1.0)))))
14.0ms	(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (* x x) (* 1.0 1.0))))) (- (+ (log 1.0) (* 1.0 x)) (* 1/2 (/ (* x x) (* 1.0 1.0)))))
14.0ms	(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (* x x) (* 1.0 1.0))))) (- (+ (log 1.0) (* 1.0 x)) (* 1/2 (/ (* x x) (* 1.0 1.0)))))
8.0ms	(* 1/2 (/ (* x x) (* 1.0 1.0)))

series28.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

10.0ms	(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (* x x) (* 1.0 1.0))))) (- (+ (log 1.0) (* 1.0 x)) (* 1/2 (/ (* x x) (* 1.0 1.0)))))
8.0ms	(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (* x x) (* 1.0 1.0))))) (- (+ (log 1.0) (* 1.0 x)) (* 1/2 (/ (* x x) (* 1.0 1.0)))))
7.0ms	(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (* x x) (* 1.0 1.0))))) (- (+ (log 1.0) (* 1.0 x)) (* 1/2 (/ (* x x) (* 1.0 1.0)))))
3.0ms	(* 1/2 (/ (* x x) (* 1.0 1.0)))

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4992	6960
1	4992	6960

prune2.0s (20.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	180	4	184

Merged error: 0b

Counts

184 → 4

regimes38.0ms (0.4%)

Accuracy

Total 0.4b remaining (85.3%)

Threshold costs 0.4b (85.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	91	104
1	91	104

end0.0ms (0%)

sample4.9s (50.3%)

Algorithm

1×

intervals

Results

3.1s	3384×	body	1280	valid
1.1s	2538×	body	640	valid
298.0ms	1266×	body	320	valid
137.0ms	8000×	pre	80	true
82.0ms	598×	body	160	valid
13.0ms	214×	body	80	valid

Details

analyze1.4s (13.9%)

sample160.0ms (1.6%)

simplify63.0ms (0.6%)

prune5.0ms (0%)

localize6.0ms (0.1%)

rewrite14.0ms (0.1%)

series22.0ms (0.2%)

simplify43.0ms (0.4%)

prune179.0ms (1.8%)

localize12.0ms (0.1%)

rewrite25.0ms (0.3%)

series15.0ms (0.2%)

simplify34.0ms (0.4%)

prune236.0ms (2.4%)

localize12.0ms (0.1%)

rewrite35.0ms (0.4%)

series13.0ms (0.1%)

simplify52.0ms (0.5%)

prune368.0ms (3.8%)

localize19.0ms (0.2%)

rewrite57.0ms (0.6%)

series28.0ms (0.3%)

simplify54.0ms (0.5%)

prune2.0s (20.6%)

regimes38.0ms (0.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.9s (50.3%)

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