Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify7.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	14	17
1	22	17
2	39	14
3	66	14
4	92	14
5	102	14
6	124	14
7	152	14
8	203	14
9	264	14
10	299	14
11	381	14
12	394	14
13	413	14
14	451	14
15	578	14
16	714	14
17	951	14
18	1233	14
19	1379	14
20	1436	14
21	1466	14
22	1491	14
23	1532	14
24	1542	14
done	1542	14

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))
0.1b	(fma (fma 0.04481 x 0.99229) x 1.0)
13.4b	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
46×	`add-cube-cbrt`
39×	`prod-diff`
37×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`div-inv`
3×	`pow1` `expm1-log1p-u` `fma-neg` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`difference-of-squares`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `fma-udef` `distribute-lft-out--`

Counts

3 → 98

Calls

3 calls:

28.0ms	(- x (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))
0.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
5.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

series235.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- x (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))
32.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
110.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

simplify4.5s

Counts

107 → 107

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	209	4807
1	474	4294
2	1267	3078
3	4939	2411
done	5000	2411

prune310.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)))
0.2b	(* (/ 1 (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (/ (fma x 0.27061 2.30753) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))))
13.4b	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
13.4b	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
76×	`times-frac`
53×	`*-un-lft-identity`
47×	`add-cube-cbrt` `sqrt-prod`
30×	`add-exp-log`
22×	`associate-r` `associate-l`
18×	`add-cbrt-cube`
15×	`unswap-sqr`
10×	`pow1` `div-exp`
8×	`prod-exp`
6×	`associate-/r*`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `pow-flip` `sqrt-pow1` `pow1/2` `1-exp` `div-inv` `associate-/l*`
2×	`rem-sqrt-square`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `inv-pow`

Counts

4 → 162

Calls

4 calls:

13.0ms	(/ 1 (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)))
87.0ms	(* (/ 1 (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (/ (fma x 0.27061 2.30753) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))))
2.0ms	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
2.0ms	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))

series536.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(/ 1 (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)))
100.0ms	(* (/ 1 (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (/ (fma x 0.27061 2.30753) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))))
131.0ms	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
166.0ms	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))

simplify1.9s

Counts

174 → 174

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	240	4291
1	624	3853
2	1854	3198
done	5000	3170

prune599.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (sqrt (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))))
13.4b	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
13.4b	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
13.4b	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

75×	`sqrt-prod`
52×	`add-sqr-sqrt`
35×	`sqrt-pow1`
30×	`pow1`
19×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
15×	`swap-sqr`
9×	`associate-r` `associate-l` `pow-prod-up` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-down` `pow-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 122

Calls

4 calls:

38.0ms	(* (sqrt (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (sqrt (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))))
3.0ms	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
3.0ms	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
3.0ms	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))

series489.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (sqrt (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (sqrt (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))))
134.0ms	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
121.0ms	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
120.0ms	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))

simplify2.1s

Counts

134 → 134

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	115	2744
1	223	1736
2	569	1598
3	1575	1525
done	5000	1477

prune499.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 3.0191289436999997 (* 1.900161040244073 x))
0.1b	(* x (- 3.0191289436999997 (* 1.900161040244073 x)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`prod-diff`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `fma-neg` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

11.0ms	(- 3.0191289436999997 (* 1.900161040244073 x))
37.0ms	(* x (- 3.0191289436999997 (* 1.900161040244073 x)))

series157.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(- 3.0191289436999997 (* 1.900161040244073 x))
107.0ms	(* x (- 3.0191289436999997 (* 1.900161040244073 x)))

simplify2.2s

Counts

58 → 58

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	81	616
1	173	607
2	437	532
3	1425	520
done	5001	466

prune143.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	37
1	20	37
done	20	37

end0.0ms

sample636.0ms

Algorithm

intervals

Results

510.0ms

8000×

body

valid