Details

analyze354.0ms (15.8%)

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 (1.1%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

valid

simplify49.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5018	25

prune6.0ms (0.3%)

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

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ 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)))))
3.2b	(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
3.2b	(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

rewrite45.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

21.0ms	(* (- 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	(/ 1.0 (+ 2.0 (* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))))))

series15.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ 1.0 (+ 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))))

simplify58.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4883	2095
1	4883	2095

prune278.0ms (12.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	2	116

Merged error: 0b

Counts

116 → 2

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))))
3.2b	(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
3.2b	(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
3.2b	(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

rewrite36.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`difference-of-squares`
6×	`cbrt-prod`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `times-frac` `add-cbrt-cube` `flip--` `distribute-lft-out--`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 58

Calls

4 calls:

10.0ms	(cbrt (- 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))))
8.0ms	(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

series17.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

8.0ms	(cbrt (- 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))))
3.0ms	(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

simplify48.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4959	1103
1	4959	1103

prune236.0ms (10.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	70	2	72

Merged error: 0b

Counts

72 → 2

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 3)
0.1b	(cbrt (pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 3))
3.2b	(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
3.2b	(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

rewrite39.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`cbrt-prod`
12×	`unpow-prod-down` `cube-prod` `difference-of-squares`
10×	`add-cube-cbrt`
8×	`add-log-exp`
6×	`times-frac` `distribute-lft-out--`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3--` `flip--`
3×	`pow-unpow`
2×	`cube-mult` `sub-neg` `cbrt-div` `diff-log` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 88

Calls

4 calls:

9.0ms	(cbrt (pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 3))
9.0ms	(pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 3)
8.0ms	(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
8.0ms	(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

series13.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

4.0ms	(pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 3)
3.0ms	(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
3.0ms	(cbrt (pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 3))
3.0ms	(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

simplify49.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5076	1528

prune259.0ms (11.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	100	2	102

Merged error: 0b

Counts

102 → 2

regimes27.0ms (1.2%)

Accuracy

Total 0.0b remaining (59.3%)

Threshold costs 0.0b (59.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	39
1	52	39

end0.0ms (0%)

sample649.0ms (29%)

Algorithm

1×

intervals

Results

549.0ms

8000×

body

valid

Details

analyze354.0ms (15.8%)

sample24.0ms (1.1%)

simplify49.0ms (2.2%)

prune6.0ms (0.3%)

localize10.0ms (0.4%)

rewrite45.0ms (2%)

series15.0ms (0.7%)

simplify58.0ms (2.6%)

prune278.0ms (12.4%)

localize14.0ms (0.6%)

rewrite36.0ms (1.6%)

series17.0ms (0.7%)

simplify48.0ms (2.1%)

prune236.0ms (10.5%)

localize13.0ms (0.6%)

rewrite39.0ms (1.8%)

series13.0ms (0.6%)

simplify49.0ms (2.2%)

prune259.0ms (11.6%)

regimes27.0ms (1.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample649.0ms (29%)

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