Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify78.0ms

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

Filtered

1 candidates to 0 candidates (100.0%)

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 3 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
14.0b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

119×	`*-un-lft-identity`
56×	`distribute-lft-out`
39×	`associate-l`
35×	`times-frac`
21×	`add-sqr-sqrt`
19×	`add-cube-cbrt`
7×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
5×	`pow1` `associate-/l*` `add-log-exp`
4×	`flip3-+` `flip-+`
3×	`associate-r`
2×	`associate-*l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 98

Calls

3 calls:

6.0ms	(+ 2.30753 (* x 0.27061))
8.0ms	(* (+ 0.99229 (* x 0.04481)) x)
22.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ 2.30753 (* x 0.27061))
67.0ms	(* (+ 0.99229 (* x 0.04481)) x)
64.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	347	866
1	1342	821
2	5001	819

prune130.0ms

Filtered

107 candidates to 53 candidates (50.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	1	108

Merged error: 0b

Counts

108 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
0.1b	(/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
13.9b	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
13.9b	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

816×	`*-un-lft-identity`
390×	`associate-/r*`
375×	`sqrt-prod`
368×	`distribute-lft-out`
320×	`frac-times`
272×	`associate-l`
225×	`add-sqr-sqrt`
177×	`add-cube-cbrt`
154×	`associate-/l*`
132×	`times-frac`
56×	`associate-r`
40×	`clear-num`
39×	`frac-2neg`
34×	`associate-/l/`
30×	`add-exp-log`
22×	`flip3-+` `flip-+`
20×	`associate-*r/`
18×	`add-cbrt-cube`
16×	`associate-*l/`
15×	`unswap-sqr`
10×	`pow1` `sqrt-div` `div-exp`
8×	`prod-exp`
6×	`associate-/r/`
5×	`cbrt-undiv`
4×	`un-div-inv` `cbrt-unprod` `add-log-exp`
3×	`rec-exp` `pow-flip` `sqrt-pow1` `pow1/2` `1-exp` `div-inv`
2×	`rem-sqrt-square`
1×	`pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 589

Calls

4 calls:

80.0ms	(* (/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
14.0ms	(/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
11.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
13.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series345.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
105.0ms	(/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
86.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
87.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify135.0ms

Algorithm

egg-herbie

Counts

601 → 601

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1512	9137
1	5001	8016

prune556.0ms

Filtered

601 candidates to 169 candidates (71.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	601	0	601
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	601	1	602

Merged error: 0b

Counts

602 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms

sample336.0ms

Algorithm

intervals

Results

241.0ms

8000×

body

valid