Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

335×

body

valid

simplify586.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	19	9
2	40	8
3	78	8
4	127	8
5	167	8
6	228	8
7	450	8
8	543	8
9	544	8
done	544	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)

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(* (fma 0.12 x 0.253) x)

simplify937.0ms

Counts

23 → 23

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	39	204
1	79	198
2	292	168
3	1388	168
done	5000	168

prune46.0ms

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))

rewrite19.0ms

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))

series416.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (* (cbrt (fma 0.12 x 0.253)) (cbrt (fma 0.12 x 0.253))) (* (cbrt (fma 0.12 x 0.253)) x))
121.0ms	(cbrt (fma 0.12 x 0.253))
117.0ms	(cbrt (fma 0.12 x 0.253))
119.0ms	(cbrt (fma 0.12 x 0.253))

simplify2.0s

Counts

75 → 75

Iterations

Useful iterations: 3 (370.0ms)

Iter	Nodes	Cost
0	115	1441
1	289	1376
2	1014	1027
3	4361	809
done	5000	809

prune189.0ms

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:

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

series722.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt x) (cbrt x))
174.0ms	(cbrt x)
172.0ms	(cbrt x)
174.0ms	(cbrt x)

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 3 (290.0ms)

Iter	Nodes	Cost
0	65	554
1	122	495
2	449	423
3	1993	405
done	5001	405

prune217.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (fma 0.12 x 0.253) (* (cbrt (* x x)) (pow (cbrt -1) 2))) (cbrt x))
0.3b	(* (fma 0.12 x 0.253) (* (cbrt (* x x)) (pow (cbrt -1) 2)))
0.6b	(cbrt x)
20.5b	(cbrt (* x x))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

40.0ms	(* (* (fma 0.12 x 0.253) (* (cbrt (* x x)) (pow (cbrt -1) 2))) (cbrt x))
12.0ms	(* (fma 0.12 x 0.253) (* (cbrt (* x x)) (pow (cbrt -1) 2)))
0.0ms	(cbrt x)
2.0ms	(cbrt (* x x))

series946.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (* (fma 0.12 x 0.253) (* (cbrt (* x x)) (pow (cbrt -1) 2))) (cbrt x))
436.0ms	(* (fma 0.12 x 0.253) (* (cbrt (* x x)) (pow (cbrt -1) 2)))
179.0ms	(cbrt x)
172.0ms	(cbrt (* x x))

simplify499.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	125	1264
1	305	1191
2	1295	1030
done	5001	1030

prune448.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes24.0ms

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

sample319.0ms

Algorithm

intervals

Results

203.0ms

10564×

body

valid