Details

analyze4.0ms

Algorithm: search

sample16.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	8
1	33	8
2	56	8
3	72	8
4	78	8
5	100	8
6	128	8
7	161	8
8	190	8
9	350	8
10	644	8
11	1012	8
12	2258	8
13	5001	8

prune2.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.0b	(+ 0.99229 (* x 0.04481))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
14.8b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
4×	`flip3-+` `flip-+`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`associate-*l/` `associate-/r/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

9.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
3.0ms	(+ 0.99229 (* x 0.04481))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series26.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
3.0ms	(+ 0.99229 (* x 0.04481))
10.0ms	(* (+ 0.99229 (* x 0.04481)) x)
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	418	785
1	1542	737
2	5001	731

prune128.0ms

Filtered

67 candidates to 89 candidates (-32.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	1	90

Merged error: 0b

Counts

90 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.1b	(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
14.7b	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
14.7b	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
164×	`add-sqr-sqrt`
162×	`add-cube-cbrt` `*-un-lft-identity`
156×	`sqrt-prod`
27×	`associate-/l*`
22×	`sqrt-div`
18×	`associate-/r/`
12×	`flip3-+` `associate-/r*` `flip-+`
11×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`associate-/l/`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`

Counts

4 → 264

Calls

4 calls:

15.0ms	(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
7.0ms	(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
2.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
2.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series23.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
8.0ms	(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
5.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
5.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify119.0ms

Algorithm

egg-herbie

Counts

276 → 276

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	923	6227
1	3468	5694
2	5001	5608

prune613.0ms

Filtered

150 candidates to 276 candidates (-84.0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	276	0	276
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	276	1	277

Merged error: 0b

Counts

277 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	15
1	22	15

end0.0ms

analyze4.0ms

Algorithm: search

sample415.0ms

Algorithm

intervals

Results

326.0ms

8000×

body

valid

Details

analyze4.0ms

sample16.0ms

simplify73.0ms

prune2.0ms

localize10.0ms

rewrite24.0ms

series26.0ms

simplify47.0ms

prune128.0ms

localize15.0ms

rewrite42.0ms

series23.0ms

simplify119.0ms

prune613.0ms

simplify2.0ms

end0.0ms

analyze4.0ms

sample415.0ms

Profiling