Details

analyze340.0ms (8.2%)

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

sample52.0ms (1.3%)

Algorithm

1×

intervals

Results

12.0ms	179×	body	80	valid
11.0ms	30×	body	640	valid
7.0ms	23×	body	320	valid
6.0ms	7×	body	1280	valid
2.0ms	17×	body	160	valid
1.0ms	12×	body	80	nan
0.0ms	2×	body	80	invalid

simplify125.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	5210	17

prune9.0ms (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: 8.1b

Counts

2 → 1

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b	(* (- x 1.0) (log y))
6.6b	(log (- 1.0 y))

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

11.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
9.0ms	(* (- z 1.0) (log (- 1.0 y)))
7.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series58.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
9.0ms	(* (- x 1.0) (log y))
7.0ms	(* (- z 1.0) (log (- 1.0 y)))
3.0ms	(log (- 1.0 y))

simplify59.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4979	1314
1	4979	1314

prune250.0ms (6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	98	7	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

localize20.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b

(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (* y y) (* 1.0 1.0))))))) t)

0.0b

(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (* y y) (* 1.0 1.0)))))))

0.1b

(* (- x 1.0) (log y))

rewrite34.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`flip3--` `associate-*l/` `flip--`
18×	`log-prod`
17×	`add-sqr-sqrt`
16×	`frac-add`
15×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
8×	`frac-times` `associate-+r+`
7×	`associate--l+`
6×	`pow1` `associate-+l+`
5×	`add-exp-log` `associate-l` `add-cbrt-cube`
4×	`associate-r/` `associate-r*`
3×	`sub-neg`
2×	`diff-log` `sum-log` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 85

Calls

3 calls:

13.0ms

(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (* y y) (* 1.0 1.0))))))) t)

11.0ms

(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (* y y) (* 1.0 1.0)))))))

7.0ms

(* (- x 1.0) (log y))

series98.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

52.0ms

(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (* y y) (* 1.0 1.0))))))) t)

36.0ms

(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (* y y) (* 1.0 1.0)))))))

10.0ms

(* (- x 1.0) (log y))

simplify51.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5981	3354

prune302.0ms (7.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	95	6	101

Merged error: 0.0b

Counts

101 → 6

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
0.7b	(cbrt y)
0.7b	(cbrt y)
6.6b	(log (- 1.0 y))

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod` `associate-+l+`
21×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
12×	`associate-+r+`
8×	`associate-*l/`
6×	`add-log-exp`
5×	`pow1` `add-exp-log` `flip3--` `flip--`
4×	`frac-add` `add-cbrt-cube`
2×	`log-div` `pow1/3`
1×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `log-pow` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

14.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
3.0ms	(log (- 1.0 y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series87.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
25.0ms	(cbrt y)
22.0ms	(cbrt y)
3.0ms	(log (- 1.0 y))

simplify29.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5451	1184

prune245.0ms (5.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	101	7	108

Merged error: 0.0b

Counts

108 → 7

localize28.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- x 1.0) (* 2 (log (pow y 1/3)))) (* (- x 1.0) (log (cbrt y))))
0.7b	(cbrt y)
5.1b	(pow y 1/3)
6.6b	(log (- 1.0 y))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`log-prod`
34×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
22×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
15×	`unpow-prod-down`
12×	`associate-+r+`
9×	`cbrt-prod`
8×	`associate-*l/`
6×	`pow1` `add-exp-log` `add-log-exp`
5×	`flip3--` `flip--` `sqr-pow`
4×	`frac-add` `add-cbrt-cube`
3×	`pow-unpow`
2×	`log-div`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `rem-log-exp` `pow-exp` `sum-log` `log-pow` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 101

Calls

4 calls:

14.0ms	(+ (* (- x 1.0) (* 2 (log (pow y 1/3)))) (* (- x 1.0) (log (cbrt y))))
3.0ms	(log (- 1.0 y))
2.0ms	(pow y 1/3)
1.0ms	(cbrt y)

series95.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (* (- x 1.0) (* 2 (log (pow y 1/3)))) (* (- x 1.0) (log (cbrt y))))
23.0ms	(pow y 1/3)
22.0ms	(cbrt y)
3.0ms	(log (- 1.0 y))

simplify51.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4950	1015
1	4950	1015

prune257.0ms (6.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	113	7	120

Merged error: 0.0b

Counts

120 → 7

regimes479.0ms (11.5%)

Accuracy

Total 0.3b remaining (79.8%)

Threshold costs 0.3b (79.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	106	29
1	106	29

end0.0ms (0%)

sample1.4s (33%)

Algorithm

1×

intervals

Results

405.0ms	5785×	body	80	valid
294.0ms	806×	body	640	valid
177.0ms	256×	body	1280	valid
168.0ms	731×	body	320	valid
63.0ms	422×	body	160	valid
21.0ms	289×	body	80	nan
2.0ms	33×	body	80	invalid

Details

analyze340.0ms (8.2%)

sample52.0ms (1.3%)

simplify125.0ms (3%)

prune9.0ms (0.2%)

localize14.0ms (0.3%)

rewrite32.0ms (0.8%)

series58.0ms (1.4%)

simplify59.0ms (1.4%)

prune250.0ms (6%)

localize20.0ms (0.5%)

rewrite34.0ms (0.8%)

series98.0ms (2.4%)

simplify51.0ms (1.2%)

prune302.0ms (7.3%)

localize20.0ms (0.5%)

rewrite23.0ms (0.6%)

series87.0ms (2.1%)

simplify29.0ms (0.7%)

prune245.0ms (5.9%)

localize28.0ms (0.7%)

rewrite25.0ms (0.6%)

series95.0ms (2.3%)

simplify51.0ms (1.2%)

prune257.0ms (6.2%)

regimes479.0ms (11.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.4s (33%)

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