Details

sample171.0ms

Algorithm

intervals

Results

21.0ms

356×

body

valid

simplify8.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	2842
10	1482
9	901
8	548
7	333
6	217
5	165
4	107
3	60
2	27
1	14
0	8

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize15.0ms

Local error

Found 1 expressions with local error:

1.6b	(fma (/ z t) (- y x) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify2.8s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	1382
3	258
2	88
1	41
0	23

prune140.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.7b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (/ z t) (- y x) x)) (cbrt (fma (/ z t) (- y x) x)))
1.6b	(fma (/ z t) (- y x) x)
1.6b	(fma (/ z t) (- y x) x)
1.6b	(fma (/ z t) (- y x) x)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
6×	`add-exp-log` `pow1/3` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `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 → 72

Calls

4 calls:

22.0ms	(* (cbrt (fma (/ z t) (- y x) x)) (cbrt (fma (/ z t) (- y x) x)))
1.0ms	(fma (/ z t) (- y x) x)
1.0ms	(fma (/ z t) (- y x) x)
1.0ms	(fma (/ z t) (- y x) x)

series1.4s

Counts

4 → 12

Calls

4 calls:

1.2s	(* (cbrt (fma (/ z t) (- y x) x)) (cbrt (fma (/ z t) (- y x) x)))
80.0ms	(fma (/ z t) (- y x) x)
69.0ms	(fma (/ z t) (- y x) x)
76.0ms	(fma (/ z t) (- y x) x)

simplify4.3s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	1179
2	436
1	192
0	91

prune2.0s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 1.6b

localize120.0ms

Local error

Found 4 expressions with local error:

1.6b	(fma (/ z t) (- y x) x)
1.6b	(fma (/ z t) (- y x) x)
1.6b	(fma (/ z t) (- y x) x)
1.6b	(fma (/ z t) (- y x) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

1.0ms	(fma (/ z t) (- y x) x)
1.0ms	(fma (/ z t) (- y x) x)
1.0ms	(fma (/ z t) (- y x) x)
1.0ms	(fma (/ z t) (- y x) x)

series291.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(fma (/ z t) (- y x) x)
69.0ms	(fma (/ z t) (- y x) x)
69.0ms	(fma (/ z t) (- y x) x)
80.0ms	(fma (/ z t) (- y x) x)

simplify5.2s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
4	1382
3	258
2	88
1	41
0	23

prune1.3s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 1.6b

localize255.0ms

Local error

Found 4 expressions with local error:

1.6b	(fma (/ z t) (- y x) x)
1.6b	(fma (/ z t) (- y x) x)
1.6b	(fma (/ z t) (- y x) x)
1.6b	(fma (/ z t) (- y x) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

1.0ms	(fma (/ z t) (- y x) x)
1.0ms	(fma (/ z t) (- y x) x)
1.0ms	(fma (/ z t) (- y x) x)
3.0ms	(fma (/ z t) (- y x) x)

series3.4s

Counts

4 → 12

Calls

4 calls:

104.0ms	(fma (/ z t) (- y x) x)
3.2s	(fma (/ z t) (- y x) x)
61.0ms	(fma (/ z t) (- y x) x)
63.0ms	(fma (/ z t) (- y x) x)

simplify8.6s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
4	1382
3	258
2	88
1	41
0	23

prune863.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 1.6b

regimes1.1s

Accuracy

0% (0.1b remaining)

Error of 1.9b against oracle of 1.8b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
0	7

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.0s

10699×

body

valid