Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

335×

body

valid

simplify364.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	19	9
2	39	8
3	77	8
4	124	8
5	164	8
6	220	8
7	322	8
8	371	8
9	372	8
done	372	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (fma 0.12 x 0.253) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

3.0ms

(* (fma 0.12 x 0.253) x)

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(* (fma 0.12 x 0.253) x)

simplify2.6s

Counts

23 → 23

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	39	204
1	77	198
2	255	168
3	1004	168
4	3127	168
done	5000	168

prune44.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cbrt (fma 0.12 x 0.253)) (cbrt (fma 0.12 x 0.253))) (* (cbrt (fma 0.12 x 0.253)) x))
0.8b	(cbrt (fma 0.12 x 0.253))
0.8b	(cbrt (fma 0.12 x 0.253))
0.8b	(cbrt (fma 0.12 x 0.253))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
10×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 63

Calls

4 calls:

16.0ms	(* (* (cbrt (fma 0.12 x 0.253)) (cbrt (fma 0.12 x 0.253))) (* (cbrt (fma 0.12 x 0.253)) x))
0.0ms	(cbrt (fma 0.12 x 0.253))
0.0ms	(cbrt (fma 0.12 x 0.253))
1.0ms	(cbrt (fma 0.12 x 0.253))

series626.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (* (cbrt (fma 0.12 x 0.253)) (cbrt (fma 0.12 x 0.253))) (* (cbrt (fma 0.12 x 0.253)) x))
304.0ms	(cbrt (fma 0.12 x 0.253))
129.0ms	(cbrt (fma 0.12 x 0.253))
132.0ms	(cbrt (fma 0.12 x 0.253))

simplify1.4s

Counts

75 → 75

Iterations

Useful iterations: 3 (539.0ms)

Iter	Nodes	Cost
0	115	1441
1	289	1376
2	991	1027
3	4049	809
done	5001	809

prune190.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series748.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt x) (cbrt x))
180.0ms	(cbrt x)
181.0ms	(cbrt x)
179.0ms	(cbrt x)

simplify2.9s

Counts

93 → 93

Iterations

Useful iterations: 4 (986.0ms)

Iter	Nodes	Cost
0	65	554
1	119	443
2	329	423
3	1179	405
4	3769	400
done	5000	400

prune229.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (fma 0.12 x 0.253) (cbrt (* x x))) (cbrt x))
0.3b	(* (fma 0.12 x 0.253) (cbrt (* x x)))
0.6b	(cbrt x)
20.5b	(cbrt (* x x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log`
10×	`associate-r`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

13.0ms	(* (* (fma 0.12 x 0.253) (cbrt (* x x))) (cbrt x))
4.0ms	(* (fma 0.12 x 0.253) (cbrt (* x x)))
0.0ms	(cbrt x)
2.0ms	(cbrt (* x x))

series777.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (* (fma 0.12 x 0.253) (cbrt (* x x))) (cbrt x))
335.0ms	(* (fma 0.12 x 0.253) (cbrt (* x x)))
182.0ms	(cbrt x)
178.0ms	(cbrt (* x x))

simplify2.0s

Counts

81 → 81

Iterations

Useful iterations: 3 (742.0ms)

Iter	Nodes	Cost
0	110	840
1	242	805
2	853	719
3	3955	696
done	5001	696

prune206.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes32.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample299.0ms

Algorithm

intervals

Results

194.0ms

10564×

body

valid