Details

analyze372.0ms (21.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	49.9%	0%	12
99.6%	0.3%	0%	13
99.9%	0%	0%	14

sample24.0ms (1.4%)

Algorithm

1×

intervals

Results

18.0ms

256×

body

valid

simplify57.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5018	25

prune7.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+ 2.0 (* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))))
0.0b	(* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))))
4.0b	(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
4.0b	(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

rewrite42.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
12×	`difference-of-squares`
11×	`pow1`
10×	`add-log-exp`
8×	`add-cube-cbrt` `flip3--` `swap-sqr` `flip--` `distribute-lft-out--`
6×	`add-exp-log` `sub-neg` `times-frac` `associate-r` `associate-l` `add-cbrt-cube`
4×	`frac-times`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `diff-log` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `pow-prod-down` `prod-exp` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

19.0ms	(* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))))
8.0ms	(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
8.0ms	(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
4.0ms	(+ 2.0 (* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))))

series15.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ 2.0 (* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))))
4.0ms	(* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))))
3.0ms	(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
3.0ms	(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

simplify44.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5004	1729

prune232.0ms (13.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	1	100

Merged error: 0b

Counts

100 → 1

localize12.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (+ 2.0 (cbrt (pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 6)))))
0.0b	(cbrt (pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 6))
0.1b	(pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 6)
4.0b	(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

rewrite46.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
12×	`unpow-prod-down`
10×	`cbrt-prod`
8×	`add-cube-cbrt` `add-log-exp` `difference-of-squares`
5×	`pow1` `add-exp-log`
4×	`times-frac` `add-cbrt-cube` `distribute-lft-out--`
3×	`pow-unpow`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp`

Counts

4 → 66

Calls

4 calls:

18.0ms	(- 1.0 (/ 1.0 (+ 2.0 (cbrt (pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 6)))))
9.0ms	(pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 6)
9.0ms	(cbrt (pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 6))
8.0ms	(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

series19.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

9.0ms	(- 1.0 (/ 1.0 (+ 2.0 (cbrt (pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 6)))))
4.0ms	(pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 6)
4.0ms	(cbrt (pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 6))
3.0ms	(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

simplify38.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5506	1313

prune165.0ms (9.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	1	79

Merged error: 0b

Counts

79 → 1

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	18
1	48	18

end0.0ms (0%)

sample677.0ms (38.4%)

Algorithm

1×

intervals

Results

575.0ms

8000×

body

valid

Details

analyze372.0ms (21.1%)

sample24.0ms (1.4%)

simplify57.0ms (3.2%)

prune7.0ms (0.4%)

localize9.0ms (0.5%)

rewrite42.0ms (2.4%)

series15.0ms (0.9%)

simplify44.0ms (2.5%)

prune232.0ms (13.2%)

localize12.0ms (0.7%)

rewrite46.0ms (2.6%)

series19.0ms (1.1%)

simplify38.0ms (2.2%)

prune165.0ms (9.4%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample677.0ms (38.4%)

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