Details

analyze65.0ms (4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

sample18.0ms (1.1%)

Algorithm

1×

intervals

Results

10.0ms	252×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	3×	body	80	invalid
0.0ms	1×	body	160	valid

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune8.0ms (0.5%)

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: 0.0b

Counts

2 → 2

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+ 20.0 (+ 10.0 d2))
0.0b	(* d1 (+ 20.0 (+ 10.0 d2)))

rewrite13.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `distribute-lft-out`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-l` `sum-log`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

7.0ms	(* d1 (+ 20.0 (+ 10.0 d2)))
5.0ms	(+ 20.0 (+ 10.0 d2))

series7.0ms (0.4%)

Counts

2 → 6

Calls

2 calls:

5.0ms	(* d1 (+ 20.0 (+ 10.0 d2)))
2.0ms	(+ 20.0 (+ 10.0 d2))

simplify49.0ms (3%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5038	334

prune69.0ms (4.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	43	4	47

Merged error: 0b

Counts

47 → 4

localize11.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))
0.0b	(* (+ 10.0 d2) (+ 10.0 d2))
5.0b	(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
7.9b	(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))

rewrite32.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
8×	`associate-r` `distribute-lft-out`
7×	`associate-l`
6×	`flip3-+` `times-frac` `associate-r/` `swap-sqr` `associate-/r` `flip-+` `add-log-exp`
4×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `associate--r+` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 108

Calls

4 calls:

11.0ms	(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))
8.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
6.0ms	(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
4.0ms	(- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))

series35.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))
10.0ms	(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
3.0ms	(- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))
2.0ms	(* (+ 10.0 d2) (+ 10.0 d2))

simplify50.0ms (3%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5001	1317

prune211.0ms (12.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	120	4	124

Merged error: 0b

Counts

124 → 4

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+ 20.0 (+ 10.0 d2))
0.0b	(* d1 (+ 20.0 (+ 10.0 d2)))
0.2b	(* (* d1 (+ 20.0 (+ 10.0 d2))) (- 20.0 (+ 10.0 d2)))
7.9b	(/ (* (* d1 (+ 20.0 (+ 10.0 d2))) (- 20.0 (+ 10.0 d2))) (- 20.0 (+ 10.0 d2)))

rewrite51.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

21.0ms	(/ (* (* d1 (+ 20.0 (+ 10.0 d2))) (- 20.0 (+ 10.0 d2))) (- 20.0 (+ 10.0 d2)))
13.0ms	(* (* d1 (+ 20.0 (+ 10.0 d2))) (- 20.0 (+ 10.0 d2)))
8.0ms	(* d1 (+ 20.0 (+ 10.0 d2)))
5.0ms	(+ 20.0 (+ 10.0 d2))

series19.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* d1 (+ 20.0 (+ 10.0 d2))) (- 20.0 (+ 10.0 d2)))
5.0ms	(/ (* (* d1 (+ 20.0 (+ 10.0 d2))) (- 20.0 (+ 10.0 d2))) (- 20.0 (+ 10.0 d2)))
5.0ms	(* d1 (+ 20.0 (+ 10.0 d2)))
2.0ms	(+ 20.0 (+ 10.0 d2))

simplify46.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4947	1498
1	4947	1498

prune203.0ms (12.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	121	4	125

Merged error: 0b

Counts

125 → 4

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 20.0 (+ 10.0 d2)))
0.0b	(sqrt (+ 20.0 (+ 10.0 d2)))
0.1b	(* d1 (sqrt (+ 20.0 (+ 10.0 d2))))
0.3b	(* (* d1 (sqrt (+ 20.0 (+ 10.0 d2)))) (sqrt (+ 20.0 (+ 10.0 d2))))

rewrite37.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`sqrt-prod`
18×	`sqrt-div`
17×	`add-sqr-sqrt`
16×	`associate-r`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

14.0ms	(* (* d1 (sqrt (+ 20.0 (+ 10.0 d2)))) (sqrt (+ 20.0 (+ 10.0 d2))))
8.0ms	(* d1 (sqrt (+ 20.0 (+ 10.0 d2))))
7.0ms	(sqrt (+ 20.0 (+ 10.0 d2)))
5.0ms	(sqrt (+ 20.0 (+ 10.0 d2)))

series20.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

8.0ms	(* d1 (sqrt (+ 20.0 (+ 10.0 d2))))
5.0ms	(* (* d1 (sqrt (+ 20.0 (+ 10.0 d2)))) (sqrt (+ 20.0 (+ 10.0 d2))))
3.0ms	(sqrt (+ 20.0 (+ 10.0 d2)))
3.0ms	(sqrt (+ 20.0 (+ 10.0 d2)))

simplify25.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	4979	1263
1	4979	1263

prune195.0ms (12%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	103	4	107

Merged error: 0b

Counts

107 → 4

regimes78.0ms (4.8%)

Accuracy

Total 0.0b remaining (74.9%)

Threshold costs 0.0b (74.9%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms (0%)

sample362.0ms (22.2%)

Algorithm

1×

intervals

Results

223.0ms	7860×	body	80	valid
7.0ms	56×	body	1280	valid
5.0ms	47×	body	640	valid
3.0ms	100×	body	80	invalid
2.0ms	22×	body	320	valid
1.0ms	15×	body	160	valid

Details

analyze65.0ms (4%)

sample18.0ms (1.1%)

simplify3.0ms (0.2%)

prune8.0ms (0.5%)

localize5.0ms (0.3%)

rewrite13.0ms (0.8%)

series7.0ms (0.4%)

simplify49.0ms (3%)

prune69.0ms (4.2%)

localize11.0ms (0.7%)

rewrite32.0ms (2%)

series35.0ms (2.1%)

simplify50.0ms (3%)

prune211.0ms (12.9%)

localize8.0ms (0.5%)

rewrite51.0ms (3.1%)

series19.0ms (1.2%)

simplify46.0ms (2.8%)

prune203.0ms (12.5%)

localize7.0ms (0.4%)

rewrite37.0ms (2.3%)

series20.0ms (1.3%)

simplify25.0ms (1.5%)

prune195.0ms (12%)

regimes78.0ms (4.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample362.0ms (22.2%)

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