Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

348×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	912
6	280
5	218
4	148
3	91
2	46
1	19
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

23.0ms

(* x (+ 0.253 (* x 0.12)))

series106.0ms

Counts

1 → 3

Calls

1 calls:

106.0ms

(* x (+ 0.253 (* x 0.12)))

simplify552.0ms

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
2	795
1	166
0	52

prune133.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x (fma x 0.12 0.253))) (cbrt (* x (fma x 0.12 0.253))))
0.6b	(cbrt (* x (fma x 0.12 0.253)))
0.6b	(cbrt (* x (fma x 0.12 0.253)))
0.6b	(cbrt (* x (fma x 0.12 0.253)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `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:

22.0ms	(* (cbrt (* x (fma x 0.12 0.253))) (cbrt (* x (fma x 0.12 0.253))))
6.0ms	(cbrt (* x (fma x 0.12 0.253)))
5.0ms	(cbrt (* x (fma x 0.12 0.253)))
6.0ms	(cbrt (* x (fma x 0.12 0.253)))

series811.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(* (cbrt (* x (fma x 0.12 0.253))) (cbrt (* x (fma x 0.12 0.253))))
208.0ms	(cbrt (* x (fma x 0.12 0.253)))
176.0ms	(cbrt (* x (fma x 0.12 0.253)))
175.0ms	(cbrt (* x (fma x 0.12 0.253)))

simplify904.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	1925
1	447
0	164

prune551.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

19.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

263.0ms	(* (cbrt x) (cbrt x))
327.0ms	(cbrt x)
271.0ms	(cbrt x)
272.0ms	(cbrt x)

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune538.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (fma x 0.12 0.253)) (* (cbrt (fma x 0.12 0.253)) x))
0.9b	(cbrt (fma x 0.12 0.253))
0.9b	(cbrt (fma x 0.12 0.253))
0.9b	(cbrt (+ 0.253 (* x 0.12)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
6×	`add-cbrt-cube` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cbrt-div`
1×	`flip3-+` `associate-r` `*-commutative` `flip-+`

Counts

4 → 64

Calls

4 calls:

24.0ms	(* (cbrt (fma x 0.12 0.253)) (* (cbrt (fma x 0.12 0.253)) x))
1.0ms	(cbrt (fma x 0.12 0.253))
1.0ms	(cbrt (fma x 0.12 0.253))
3.0ms	(cbrt (+ 0.253 (* x 0.12)))

series786.0ms

Counts

4 → 12

Calls

4 calls:

308.0ms	(* (cbrt (fma x 0.12 0.253)) (* (cbrt (fma x 0.12 0.253)) x))
163.0ms	(cbrt (fma x 0.12 0.253))
145.0ms	(cbrt (fma x 0.12 0.253))
169.0ms	(cbrt (+ 0.253 (* x 0.12)))

simplify1.4s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	1728
1	456
0	186

prune603.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes231.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample732.0ms

Algorithm

intervals

Results

489.0ms

10600×

body

valid