Details

sample55.0ms

Algorithm

intervals

Results

22.0ms

342×

body

valid

simplify7.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	2073
7	633
6	299
5	193
4	115
3	62
2	27
1	14
0	8

prune11.0ms

Pruning

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

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify1.7s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	1922
3	277
2	91
1	41
0	23

prune93.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.7b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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` `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:

19.0ms	(* (cbrt (fma (- y x) (/ z t) x)) (cbrt (fma (- y x) (/ z t) x)))
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)

series696.0ms

Counts

4 → 12

Calls

4 calls:

484.0ms	(* (cbrt (fma (- y x) (/ z t) x)) (cbrt (fma (- y x) (/ z t) x)))
84.0ms	(fma (- y x) (/ z t) x)
61.0ms	(fma (- y x) (/ z t) x)
68.0ms	(fma (- y x) (/ z t) x)

simplify6.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	4220
2	645
1	195
0	91

prune647.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.7b

localize44.0ms

Local error

Found 4 expressions with local error:

1.6b	(fma (- y x) (/ z t) x)
1.6b	(fma (- y x) (/ z t) x)
1.6b	(fma (- y x) (/ z t) x)
1.6b	(fma (/ z t) (- y x) 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` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

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

series252.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(fma (- y x) (/ z t) x)
70.0ms	(fma (- y x) (/ z t) x)
63.0ms	(fma (- y x) (/ z t) x)
49.0ms	(fma (/ z t) (- y x) x)

simplify3.0s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
4	2347
3	409
2	128
1	56
0	34

prune534.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.6b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

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` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

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

series276.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(fma (- y x) (/ z t) x)
72.0ms	(fma (- y x) (/ z t) x)
65.0ms	(fma (- y x) (/ z t) x)
84.0ms	(fma (/ z t) (- y x) x)

simplify2.8s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
4	2347
3	409
2	128
1	56
0	34

prune505.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.6b

regimes615.0ms

Accuracy

0% (0.1b remaining)

Error of 2.0b against oracle of 1.9b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
0	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

561.0ms

10762×

body

valid