Details

sample42.0ms

Algorithm

intervals

Results

17.0ms

339×

body

valid

simplify24.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
3	24
2	20
1	12
0	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) (* z t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `fma-neg` `diff-log` `prod-diff` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 16

Calls

1 calls:

18.0ms

(- (* x y) (* z t))

series129.0ms

Counts

1 → 3

Calls

1 calls:

129.0ms

(- (* x y) (* z t))

simplify6.2s

Counts

19 → 19

Iterations

Iter	Nodes
done	5000
4	2154
3	919
2	306
1	104
0	38

prune167.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x y (- (* z t)))

rewrite16.0ms

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:

4.0ms

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

series200.0ms

Counts

1 → 3

Calls

1 calls:

200.0ms

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

simplify9.0s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
5	3946
4	782
3	187
2	53
1	30
0	20

prune309.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize114.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
0.9b	(cbrt (- (* x y) (* z t)))
0.9b	(cbrt (- (* x y) (* z t)))
0.9b	(cbrt (- (* x y) (* z t)))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

122.0ms	(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
30.0ms	(cbrt (- (* x y) (* z t)))
21.0ms	(cbrt (- (* x y) (* z t)))
33.0ms	(cbrt (- (* x y) (* z t)))

series1.6s

Counts

4 → 12

Calls

4 calls:

266.0ms	(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
480.0ms	(cbrt (- (* x y) (* z t)))
492.0ms	(cbrt (- (* x y) (* z t)))
343.0ms	(cbrt (- (* x y) (* z t)))

simplify8.1s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
3	2772
2	953
1	345
0	134

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* t z) (* t z))
0.3b	(* (* t z) (* t z))
3.7b	(- (* (* (* y x) (* y x)) (* y x)) (* (* (* t z) (* t z)) (* t z)))
38.7b	(/ (- (* (* (* y x) (* y x)) (* y x)) (* (* (* t z) (* t z)) (* t z))) (fma (* y x) (* t z) (fma (* y x) (* y x) (* (* t z) (* t z)))))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
10×	`pow3`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-cubes`
4×	`expm1-log1p-u` `pow-plus` `log1p-expm1-u` `associate-/l*`
3×	`associate-/r*`
2×	`pow2` `flip3--` `swap-sqr` `associate-r` `associate-l` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `clear-num` `div-inv`

Counts

4 → 125

Calls

4 calls:

108.0ms	(* (* t z) (* t z))
62.0ms	(* (* t z) (* t z))
444.0ms	(- (* (* (* y x) (* y x)) (* y x)) (* (* (* t z) (* t z)) (* t z)))
1.1s	(/ (- (* (* (* y x) (* y x)) (* y x)) (* (* (* t z) (* t z)) (* t z))) (fma (* y x) (* t z) (fma (* y x) (* y x) (* (* t z) (* t z)))))

series1.7s

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (* t z) (* t z))
96.0ms	(* (* t z) (* t z))
1.1s	(- (* (* (* y x) (* y x)) (* y x)) (* (* (* t z) (* t z)) (* t z)))
361.0ms	(/ (- (* (* (* y x) (* y x)) (* y x)) (* (* (* t z) (* t z)) (* t z))) (fma (* y x) (* t z) (fma (* y x) (* y x) (* (* t z) (* t z)))))

simplify4.5s

Counts

137 → 137

Iterations

Iter	Nodes
done	5007
2	1599
1	390
0	143

prune1.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	14
2	14
1	12
0	7

end9.0ms

sample7.2s

Algorithm

intervals

Results

2.8s

10419×

body

valid