Details

sample44.0ms

Algorithm

intervals

Results

22.0ms

340×

body

valid

simplify5.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
21	4759
20	4527
19	4276
18	4020
17	3762
16	3533
15	3282
14	3028
13	2778
12	2557
11	2272
10	1923
9	1530
8	1074
7	692
6	384
5	226
4	139
3	65
2	30
1	16
0	9

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

2.0b	(fma (- t z) (/ y a) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

0.0ms

(fma (- t z) (/ y a) x)

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(fma (- t z) (/ y a) x)

simplify1.6s

Counts

14 → 14

Iterations

Iter	Nodes
done	5003
4	1424
3	255
2	86
1	42
0	25

prune90.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (- t z) (/ y a) x)) (cbrt (fma (- t z) (/ y a) x)))
2.0b	(fma (- t z) (/ y a) x)
2.0b	(fma (- t z) (/ y a) x)
2.0b	(fma (- t z) (/ y a) x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
6×	`pow1/3` `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`
3×	`fma-udef`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 76

Calls

4 calls:

20.0ms	(* (cbrt (fma (- t z) (/ y a) x)) (cbrt (fma (- t z) (/ y a) x)))
0.0ms	(fma (- t z) (/ y a) x)
0.0ms	(fma (- t z) (/ y a) x)
0.0ms	(fma (- t z) (/ y a) x)

series572.0ms

Counts

4 → 12

Calls

4 calls:

349.0ms	(* (cbrt (fma (- t z) (/ y a) x)) (cbrt (fma (- t z) (/ y a) x)))
66.0ms	(fma (- t z) (/ y a) x)
85.0ms	(fma (- t z) (/ y a) x)
72.0ms	(fma (- t z) (/ y a) x)

simplify2.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
3	1217
2	464
1	195
0	94

prune549.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

2.0b	(fma (- t z) (/ y a) x)
2.0b	(fma (- t z) (/ y a) x)
2.0b	(fma (- t z) (/ y a) x)
2.0b	(fma (- t z) (/ y a) x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

0.0ms	(fma (- t z) (/ y a) x)
0.0ms	(fma (- t z) (/ y a) x)
0.0ms	(fma (- t z) (/ y a) x)
0.0ms	(fma (- t z) (/ y a) x)

series292.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(fma (- t z) (/ y a) x)
64.0ms	(fma (- t z) (/ y a) x)
86.0ms	(fma (- t z) (/ y a) x)
59.0ms	(fma (- t z) (/ y a) x)

simplify1.7s

Counts

56 → 56

Iterations

Iter	Nodes
done	5003
4	1424
3	255
2	86
1	42
0	25

prune483.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

2.0b	(fma (- t z) (/ y a) x)
2.0b	(fma (- t z) (/ y a) x)
2.0b	(fma (- t z) (/ y a) x)
2.0b	(fma (- t z) (/ y a) x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

0.0ms	(fma (- t z) (/ y a) x)
0.0ms	(fma (- t z) (/ y a) x)
0.0ms	(fma (- t z) (/ y a) x)
0.0ms	(fma (- t z) (/ y a) x)

series291.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(fma (- t z) (/ y a) x)
64.0ms	(fma (- t z) (/ y a) x)
84.0ms	(fma (- t z) (/ y a) x)
53.0ms	(fma (- t z) (/ y a) x)

simplify1.9s

Counts

56 → 56

Iterations

Iter	Nodes
done	5003
4	1424
3	255
2	86
1	42
0	25

prune407.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes830.0ms

Accuracy

42.2% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.6b

bsearch2.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	22
1	22
0	18

end0.0ms

sample1.4s

Algorithm

intervals

Results

900.0ms

10637×

body

valid