Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

330×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	8	9
1	19	9
2	46	8
3	91	8
4	142	8
5	182	8
6	243	8
7	866	8
done	5000	8

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:

11.0ms

(* (fma 0.12 x 0.253) x)

series95.0ms

Counts

1 → 3

Calls

1 calls:

95.0ms

(* (fma 0.12 x 0.253) x)

simplify4.1s

Counts

23 → 23

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	39	204
1	78	198
2	325	174
3	3157	171
done	5000	168

prune97.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

7.0ms	(+ 0.253 (* x 0.12))
33.0ms	(* x (+ 0.253 (* x 0.12)))

series139.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ 0.253 (* x 0.12))
83.0ms	(* x (+ 0.253 (* x 0.12)))

simplify761.0ms

Counts

46 → 46

Iterations

Useful iterations: done (759.0ms)

Iter	Nodes	Cost
0	64	405
1	196	390
2	878	320
done	5001	317

prune256.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

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)

rewrite18.0ms

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:

12.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

283.0ms	(* (cbrt x) (cbrt x))
274.0ms	(cbrt x)
239.0ms	(cbrt x)
307.0ms	(cbrt x)

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune520.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

128.0ms	(* (* (* (cbrt (fma 0.12 x 0.253)) (cbrt (fma 0.12 x 0.253))) x) (cbrt (+ 0.253 (* x 0.12))))
7.0ms	(cbrt (+ 0.253 (* x 0.12)))
2.0ms	(cbrt (fma 0.12 x 0.253))
2.0ms	(cbrt (fma 0.12 x 0.253))

series931.0ms

Counts

4 → 12

Calls

4 calls:

382.0ms	(* (* (* (cbrt (fma 0.12 x 0.253)) (cbrt (fma 0.12 x 0.253))) x) (cbrt (+ 0.253 (* x 0.12))))
165.0ms	(cbrt (+ 0.253 (* x 0.12)))
189.0ms	(cbrt (fma 0.12 x 0.253))
194.0ms	(cbrt (fma 0.12 x 0.253))

simplify2.1s

Counts

81 → 81

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	206	1743
1	541	1614
2	2678	1322
done	5002	1192

prune584.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes208.0ms

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	8	9
1	11	9
done	11	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

930.0ms

10532×

body

valid