Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	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

sample25.0ms (1.2%)

Algorithm

1×

intervals

Results

19.0ms

256×

body

valid

simplify44.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5007	35

prune5.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
0.0b	(+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

rewrite49.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-exp-log` `add-cbrt-cube`
48×	`*-un-lft-identity`
40×	`times-frac`
30×	`prod-exp` `cbrt-unprod`
24×	`cbrt-undiv` `add-sqr-sqrt` `swap-sqr` `div-exp`
20×	`add-cube-cbrt` `associate-r` `associate-l`
18×	`pow1`
16×	`associate-/r/`
12×	`distribute-lft-out`
10×	`flip3-+` `flip-+`
8×	`div-inv` `add-log-exp`
2×	`+-commutative` `pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr`

Counts

4 → 156

Calls

4 calls:

19.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
15.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
4.0ms	(+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
4.0ms	(+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))

series14.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
4.0ms	(+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
3.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
3.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify38.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5129	2144

prune407.0ms (18.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	167	2	169

Merged error: 0b

Counts

169 → 2

localize22.0ms (1%)

Local error

Found 4 expressions with local error:

0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b	(pow (+ 1.0 (pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)) 3)
0.1b	(* (/ 2.0 (+ t 1.0)) t)
0.6b	(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)

rewrite43.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`*-un-lft-identity`
47×	`add-exp-log`
46×	`add-cbrt-cube`
33×	`add-sqr-sqrt` `times-frac`
28×	`associate-l`
26×	`add-cube-cbrt`
18×	`pow1`
17×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp` `associate-r`
12×	`swap-sqr`
11×	`distribute-lft-out`
10×	`associate-/r/`
8×	`unpow-prod-down`
6×	`pow-unpow` `flip3-+` `flip-+`
5×	`pow-pow` `div-inv`
4×	`cube-prod` `add-log-exp`
3×	`pow-prod-down` `unswap-sqr`
2×	`cube-div` `pow-to-exp` `sqrt-pow1` `associate-l/` `pow-exp` `-commutative` `sqr-pow`
1×	`pow2` `cube-mult` `frac-times` `pow-plus` `pow1/2` `unpow3` `associate-*r/` `sqrt-prod` `pow-sqr` `pow-prod-up` `sqrt-pow2` `rem-cube-cbrt`

Counts

4 → 153

Calls

4 calls:

15.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
9.0ms	(* (/ 2.0 (+ t 1.0)) t)
8.0ms	(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)
6.0ms	(pow (+ 1.0 (pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)) 3)

series41.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(pow (+ 1.0 (pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)) 3)
14.0ms	(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)
3.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
3.0ms	(* (/ 2.0 (+ t 1.0)) t)

simplify47.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5327	2225

prune583.0ms (27%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	165	2	167

Merged error: 0b

Counts

167 → 2

regimes104.0ms (4.8%)

Accuracy

Total 0.0b remaining (3.3%)

Threshold costs 0.0b (3.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	14	35

end0.0ms (0%)

sample718.0ms (33.3%)

Algorithm

1×

intervals

Results

621.0ms

8000×

body

valid

Details

analyze5.0ms (0.2%)

sample25.0ms (1.2%)

simplify44.0ms (2%)

prune5.0ms (0.2%)

localize9.0ms (0.4%)

rewrite49.0ms (2.3%)

series14.0ms (0.6%)

simplify38.0ms (1.7%)

prune407.0ms (18.9%)

localize22.0ms (1%)

rewrite43.0ms (2%)

series41.0ms (1.9%)

simplify47.0ms (2.2%)

prune583.0ms (27%)

regimes104.0ms (4.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample718.0ms (33.3%)

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