Details

sample34.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	14	17
1	22	17
2	39	14
3	68	14
4	107	14
5	126	14
6	148	14
7	176	14
8	229	14
9	482	14
10	1603	14
done	5001	14

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
14.7b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
54×	`*-un-lft-identity`
52×	`add-cube-cbrt`
45×	`prod-diff`
37×	`times-frac`
8×	`add-exp-log` `associate-/r/` `add-cbrt-cube` `add-log-exp`
7×	`flip3-+` `flip-+`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv`
3×	`fma-def` `fma-neg` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`associate-*l/` `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` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

6.0ms	(+ 0.99229 (* x 0.04481))
35.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
35.0ms	(* (+ 0.99229 (* x 0.04481)) x)
60.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series360.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ 0.99229 (* x 0.04481))
132.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
100.0ms	(* (+ 0.99229 (* x 0.04481)) x)
87.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify2.5s

Counts

148 → 148

Iterations

Useful iterations: 2 (629.0ms)

Iter	Nodes	Cost
0	285	6840
1	771	5767
2	3498	3932
done	5000	3932

prune497.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))))
0.1b	(fma (fma 0.04481 x 0.99229) x 1.0)
0.7b	(/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))
13.8b	(* (+ 2.30753 (* x 0.27061)) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
17×	`add-exp-log`
13×	`associate-r`
11×	`add-cbrt-cube`
7×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `log1p-expm1-u`
3×	`fma-neg` `associate-l` `prod-diff` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `flip3-+` `1-exp` `associate-*l/` `cbrt-unprod` `flip-+` `div-inv`
1×	`sub-neg` `flip3--` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `flip--` `fma-udef` `inv-pow`

Counts

4 → 105

Calls

4 calls:

6.0ms	(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))))
0.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
9.0ms	(/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))
36.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0)))

series329.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))))
47.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
76.0ms	(/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))
81.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0)))

simplify2.0s

Counts

117 → 117

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	192	2209
1	491	2027
2	2396	1675
done	5000	1671

prune436.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

13.8b	(* (+ 2.30753 (* x 0.27061)) (* (/ (/ 1 (cbrt (fma (fma 0.04481 x 0.99229) x 1.0))) (cbrt (fma (fma 0.04481 x 0.99229) x 1.0))) (/ 1 (cbrt (fma (fma 0.04481 x 0.99229) x 1.0)))))
15.0b	(cbrt (fma (fma 0.04481 x 0.99229) x 1.0))
15.0b	(cbrt (fma (fma 0.04481 x 0.99229) x 1.0))
15.0b	(cbrt (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-exp-log`
41×	`prod-exp`
34×	`div-exp`
24×	`add-cbrt-cube`
13×	`cbrt-unprod`
11×	`frac-times`
9×	`pow1` `cbrt-undiv` `cbrt-prod` `rec-exp` `1-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-*r/`
5×	`flip3-+` `associate-*l/` `flip-+`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `un-div-inv`
1×	`associate-r` `*-commutative`

Counts

4 → 97

Calls

4 calls:

126.0ms	(* (+ 2.30753 (* x 0.27061)) (* (/ (/ 1 (cbrt (fma (fma 0.04481 x 0.99229) x 1.0))) (cbrt (fma (fma 0.04481 x 0.99229) x 1.0))) (/ 1 (cbrt (fma (fma 0.04481 x 0.99229) x 1.0)))))
1.0ms	(cbrt (fma (fma 0.04481 x 0.99229) x 1.0))
1.0ms	(cbrt (fma (fma 0.04481 x 0.99229) x 1.0))
1.0ms	(cbrt (fma (fma 0.04481 x 0.99229) x 1.0))

series662.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (+ 2.30753 (* x 0.27061)) (* (/ (/ 1 (cbrt (fma (fma 0.04481 x 0.99229) x 1.0))) (cbrt (fma (fma 0.04481 x 0.99229) x 1.0))) (/ 1 (cbrt (fma (fma 0.04481 x 0.99229) x 1.0)))))
174.0ms	(cbrt (fma (fma 0.04481 x 0.99229) x 1.0))
219.0ms	(cbrt (fma (fma 0.04481 x 0.99229) x 1.0))
187.0ms	(cbrt (fma (fma 0.04481 x 0.99229) x 1.0))

simplify2.1s

Counts

109 → 109

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	226	3748
1	712	3597
2	3568	2360
done	5001	2184

prune413.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	19	17
done	19	17

end0.0ms

sample828.0ms

Algorithm

intervals

Results

626.0ms

8000×

body

valid