Details

sample30.0ms

Algorithm

intervals

Results

17.0ms

341×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
26	4790
25	4598
24	4368
23	4175
22	3940
21	3748
20	3507
19	3315
18	3080
17	2887
16	2638
15	2436
14	2190
13	1989
12	1738
11	1529
10	1276
9	1121
8	805
7	394
6	210
5	172
4	132
3	91
2	46
1	19
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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×	`fma-udef`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

11.0ms

(* x (fma 0.12 x 0.253))

series122.0ms

Counts

1 → 3

Calls

1 calls:

122.0ms

(* x (fma 0.12 x 0.253))

simplify1.4s

Counts

26 → 26

Iterations

Iter	Nodes
done	5001
3	1021
2	239
1	93
0	44

prune106.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (* 0.12 x)) (* x 0.253))
0.2b	(* x (* 0.12 x))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `associate-r` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 37

Calls

2 calls:

29.0ms	(+ (* x (* 0.12 x)) (* x 0.253))
19.0ms	(* x (* 0.12 x))

series131.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(+ (* x (* 0.12 x)) (* x 0.253))
31.0ms	(* x (* 0.12 x))

simplify2.3s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
3	3056
2	684
1	179
0	65

prune157.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

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)

rewrite21.0ms

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` `insert-posit16` `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 → 85

Calls

4 calls:

15.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

347.0ms	(* (cbrt x) (cbrt x))
332.0ms	(cbrt x)
273.0ms	(cbrt x)
272.0ms	(cbrt x)

simplify3.4s

Counts

97 → 97

Iterations

Iter	Nodes
done	5003
4	4334
3	1106
2	364
1	141
0	67

prune434.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt x) (fma 0.12 x 0.253))
0.3b	(* (cbrt (* x x)) (* (cbrt x) (fma 0.12 x 0.253)))
0.7b	(cbrt x)
23.0b	(cbrt (* x x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log`
10×	`associate-l`
9×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
7×	`add-cbrt-cube`
6×	`fma-udef`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

13.0ms	(* (cbrt x) (fma 0.12 x 0.253))
23.0ms	(* (cbrt (* x x)) (* (cbrt x) (fma 0.12 x 0.253)))
1.0ms	(cbrt x)
3.0ms	(cbrt (* x x))

series1.3s

Counts

4 → 12

Calls

4 calls:

551.0ms	(* (cbrt x) (fma 0.12 x 0.253))
167.0ms	(* (cbrt (* x x)) (* (cbrt x) (fma 0.12 x 0.253)))
293.0ms	(cbrt x)
332.0ms	(cbrt (* x x))

simplify2.8s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
3	4371
2	894
1	291
0	130

prune406.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes64.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	9

end0.0ms

sample733.0ms

Algorithm

intervals

Results

585.0ms

10731×

body

valid