Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

327×

body

valid

simplify356.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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	374	8
9	375	8
done	375	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)

rewrite3.0ms

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)

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(* (fma 0.12 x 0.253) x)

simplify1.5s

Counts

23 → 23

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	39	204
1	77	198
2	259	168
3	1197	168
done	5000	168

prune52.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (fma 0.12 x 0.253) x)) (cbrt (* (fma 0.12 x 0.253) x)))
0.6b	(cbrt (* (fma 0.12 x 0.253) x))
0.6b	(cbrt (* (fma 0.12 x 0.253) x))
0.6b	(cbrt (* (fma 0.12 x 0.253) x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

5.0ms	(* (cbrt (* (fma 0.12 x 0.253) x)) (cbrt (* (fma 0.12 x 0.253) x)))
1.0ms	(cbrt (* (fma 0.12 x 0.253) x))
1.0ms	(cbrt (* (fma 0.12 x 0.253) x))
1.0ms	(cbrt (* (fma 0.12 x 0.253) x))

series577.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (cbrt (* (fma 0.12 x 0.253) x)) (cbrt (* (fma 0.12 x 0.253) x)))
137.0ms	(cbrt (* (fma 0.12 x 0.253) x))
133.0ms	(cbrt (* (fma 0.12 x 0.253) x))
136.0ms	(cbrt (* (fma 0.12 x 0.253) x))

simplify426.0ms

Counts

78 → 78

Iterations

Useful iterations: 2 (122.0ms)

Iter	Nodes	Cost
0	163	1700
1	413	1581
2	1496	1473
done	5000	1473

prune279.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (fma 0.12 x 0.253) x))
0.6b	(cbrt (* (fma 0.12 x 0.253) x))
0.6b	(cbrt (* (fma 0.12 x 0.253) x))
0.7b	(pow (cbrt (* (fma 0.12 x 0.253) x)) 3)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `cbrt-prod`
4×	`expm1-log1p-u` `unpow-prod-down` `pow1/3` `cube-prod` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt (* (fma 0.12 x 0.253) x))
1.0ms	(cbrt (* (fma 0.12 x 0.253) x))
1.0ms	(cbrt (* (fma 0.12 x 0.253) x))
2.0ms	(pow (cbrt (* (fma 0.12 x 0.253) x)) 3)

series610.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (* (fma 0.12 x 0.253) x))
141.0ms	(cbrt (* (fma 0.12 x 0.253) x))
137.0ms	(cbrt (* (fma 0.12 x 0.253) x))
196.0ms	(pow (cbrt (* (fma 0.12 x 0.253) x)) 3)

simplify494.0ms

Counts

73 → 73

Iterations

Useful iterations: 2 (142.0ms)

Iter	Nodes	Cost
0	146	1531
1	393	1356
2	1787	1312
done	5000	1312

prune309.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (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:

5.0ms	(* (cbrt x) (cbrt x))
0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series761.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (cbrt x) (cbrt x))
184.0ms	(cbrt x)
180.0ms	(cbrt x)
186.0ms	(cbrt x)

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: 3 (328.0ms)

Iter	Nodes	Cost
0	65	554
1	119	443
2	383	423
3	1868	405
done	5000	405

prune229.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

regimes38.0ms

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

sample324.0ms

Algorithm

intervals

Results

212.0ms

10671×

body

valid