Details

sample44.0ms

Algorithm

intervals

Results

22.0ms

491×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1844
4	493
3	171
2	52
1	21
0	11

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
7.6b	(* (* y 4.0) (- (* z z) t))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

13×	`prod-diff`
10×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
8×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
5×	`sub-neg`
4×	`associate-r` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `log1p-expm1-u` `flip--`
1×	`fma-neg` `diff-log` `associate-l` `*-commutative` `difference-of-squares`

Counts

2 → 59

Calls

2 calls:

19.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
43.0ms	(* (* y 4.0) (- (* z z) t))

series228.0ms

Counts

2 → 6

Calls

2 calls:

133.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
95.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.9s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
2	2718
1	446
0	136

prune466.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* (* 4.0 y) z) z))
0.2b	(* (* (* 4.0 y) z) z)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `associate-l` `prod-diff` `*-commutative` `flip--`

Counts

2 → 39

Calls

2 calls:

7.0ms	(- (* x x) (* (* (* 4.0 y) z) z))
56.0ms	(* (* (* 4.0 y) z) z)

series174.0ms

Counts

2 → 6

Calls

2 calls:

123.0ms	(- (* x x) (* (* (* 4.0 y) z) z))
51.0ms	(* (* (* 4.0 y) z) z)

simplify1.6s

Counts

45 → 45

Iterations

Iter	Nodes
done	5000
2	1673
1	250
0	85

prune335.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

16.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

387.0ms	(* (cbrt z) (cbrt z))
306.0ms	(cbrt z)
314.0ms	(cbrt z)
296.0ms	(cbrt z)

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune608.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x x) (* (* (* 4.0 y) z) z))) (cbrt (- (* x x) (* (* (* 4.0 y) z) z))))
6.8b	(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))
6.8b	(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))
6.8b	(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

42.0ms	(* (cbrt (- (* x x) (* (* (* 4.0 y) z) z))) (cbrt (- (* x x) (* (* (* 4.0 y) z) z))))
11.0ms	(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))
6.0ms	(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))
10.0ms	(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))

series701.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (cbrt (- (* x x) (* (* (* 4.0 y) z) z))) (cbrt (- (* x x) (* (* (* 4.0 y) z) z))))
155.0ms	(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))
176.0ms	(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))
189.0ms	(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))

simplify1.6s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	1222
1	306
0	127

prune799.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes834.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.5s

15761×

body

valid