Details

analyze2.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
75%	25%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample9.0ms (1%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

valid

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

prune4.0ms (0.4%)

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 → 1

localize3.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ 1.0 3.0))

rewrite6.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+ x (/ 1.0 3.0))

series2.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

2.0ms

(+ x (/ 1.0 3.0))

simplify54.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4905	108
1	4905	108

prune26.0ms (3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0.0b

Counts

16 → 3

localize9.0ms (1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x (/ 1.0 3.0)))
0.0b	(+ x (/ 1.0 3.0))
0.0b	(+ x (/ 1.0 3.0))
0.2b	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

rewrite37.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`*-un-lft-identity`
30×	`sqrt-prod`
26×	`add-sqr-sqrt`
20×	`pow1`
14×	`sqrt-div`
13×	`add-cube-cbrt`
11×	`swap-sqr`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `distribute-lft-out`
8×	`add-log-exp`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-r/` `associate-l/` `sum-log`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

16.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))
6.0ms	(+ x (/ 1.0 3.0))
6.0ms	(sqrt (+ x (/ 1.0 3.0)))
6.0ms	(+ x (/ 1.0 3.0))

series10.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (+ x (/ 1.0 3.0)))
2.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))
2.0ms	(+ x (/ 1.0 3.0))
2.0ms	(+ x (/ 1.0 3.0))

simplify59.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4952	998
1	4952	998

prune197.0ms (22.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	114	3	117

Merged error: 0.0b

Counts

117 → 3

localize6.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1.0 3.0))
0.0b	(exp (+ x (/ 1.0 3.0)))
1.0b	(log (exp (+ x (/ 1.0 3.0))))

rewrite20.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity`
8×	`exp-prod` `add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`log-pow`
4×	`pow1` `log-prod`
3×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
2×	`exp-sum` `sum-log` `rem-exp-log`
1×	`+-commutative` `flip3-+` `rem-log-exp` `flip-+`

Counts

3 → 43

Calls

3 calls:

7.0ms	(log (exp (+ x (/ 1.0 3.0))))
6.0ms	(exp (+ x (/ 1.0 3.0)))
6.0ms	(+ x (/ 1.0 3.0))

series7.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

2.0ms	(log (exp (+ x (/ 1.0 3.0))))
2.0ms	(+ x (/ 1.0 3.0))
2.0ms	(exp (+ x (/ 1.0 3.0)))

simplify53.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4928	343
1	4928	343

prune78.0ms (9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	52	3	55

Merged error: 0.0b

Counts

55 → 3

regimes54.0ms (6.3%)

Accuracy

Total 0.0b remaining (50.5%)

Threshold costs 0.0b (50.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms (0%)

sample225.0ms (26.1%)

Algorithm

1×

intervals

Results

134.0ms

8000×

body

valid

Details

analyze2.0ms (0.3%)

sample9.0ms (1%)

simplify3.0ms (0.3%)

prune4.0ms (0.4%)

localize3.0ms (0.4%)

rewrite6.0ms (0.7%)

series2.0ms (0.2%)

simplify54.0ms (6.2%)

prune26.0ms (3%)

localize9.0ms (1%)

rewrite37.0ms (4.3%)

series10.0ms (1.2%)

simplify59.0ms (6.9%)

prune197.0ms (22.8%)

localize6.0ms (0.7%)

rewrite20.0ms (2.3%)

series7.0ms (0.8%)

simplify53.0ms (6.2%)

prune78.0ms (9%)

regimes54.0ms (6.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample225.0ms (26.1%)

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