Details

sample35.0ms

Algorithm

intervals

Results

14.0ms

335×

body

valid

simplify23.0ms

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

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 16

Calls

1 calls:

11.0ms

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

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

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

simplify2.2s

Counts

19 → 19

Iterations

Iter	Nodes
done	5001
4	3115
3	1091
2	327
1	104
0	38

prune176.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

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 x y (- (* z t)))

series82.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

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

simplify1.9s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	834
3	192
2	54
1	30
0	20

prune106.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) (* z t))
0.3b	(* (sqrt (- (* x y) (* z t))) (sqrt (- (* x y) (* z t))))
0.7b	(sqrt (- (* x y) (* z t)))
0.7b	(sqrt (- (* x y) (* z t)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `sub-neg` `rem-square-sqrt` `pow-plus` `fma-neg` `sqrt-unprod` `diff-log` `prod-diff` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

6.0ms	(- (* x y) (* z t))
65.0ms	(* (sqrt (- (* x y) (* z t))) (sqrt (- (* x y) (* z t))))
14.0ms	(sqrt (- (* x y) (* z t)))
13.0ms	(sqrt (- (* x y) (* z t)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (* x y) (* z t))
43.0ms	(* (sqrt (- (* x y) (* z t))) (sqrt (- (* x y) (* z t))))
93.0ms	(sqrt (- (* x y) (* z t)))
93.0ms	(sqrt (- (* x y) (* z t)))

simplify1.0s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	1093
1	279
0	122

prune623.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) (* z t))
0.1b	(* (* (- (* x y) (* z t)) (- (* x y) (* z t))) (- (* x y) (* z t)))
0.3b	(* (- (* x y) (* z t)) (- (* x y) (* z t)))
35.5b	(cbrt (* (* (- (* x y) (* z t)) (- (* x y) (* z t))) (- (* x y) (* z t))))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

61×	`flip3--` `flip--`
60×	`frac-times`
30×	`pow1` `associate-*l/`
26×	`cbrt-div`
18×	`associate-*r/`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-log-exp`
5×	`sub-neg` `prod-diff`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `fma-neg` `pow1/3` `diff-log` `rem-cbrt-cube`

Counts

4 → 157

Calls

4 calls:

6.0ms	(- (* x y) (* z t))
111.0ms	(* (* (- (* x y) (* z t)) (- (* x y) (* z t))) (- (* x y) (* z t)))
48.0ms	(* (- (* x y) (* z t)) (- (* x y) (* z t)))
81.0ms	(cbrt (* (* (- (* x y) (* z t)) (- (* x y) (* z t))) (- (* x y) (* z t))))

series414.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (* x y) (* z t))
205.0ms	(* (* (- (* x y) (* z t)) (- (* x y) (* z t))) (- (* x y) (* z t)))
98.0ms	(* (- (* x y) (* z t)) (- (* x y) (* z t)))
56.0ms	(cbrt (* (* (- (* x y) (* z t)) (- (* x y) (* z t))) (- (* x y) (* z t))))

simplify3.1s

Counts

169 → 169

Iterations

Iter	Nodes
done	5000
2	4227
1	572
0	213

prune895.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes635.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
2	14
1	12
0	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

867.0ms

10465×

body

valid