Details

sample65.0ms

Algorithm

intervals

Results

45.0ms

471×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4088
6	1776
5	748
4	361
3	169
2	51
1	21
0	11

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
0.0b	(- (* z z) t)
4.4b	(* (* y 4.0) (- (* z z) t))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

16×	`prod-diff`
11×	`add-sqr-sqrt`
10×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-log-exp`
6×	`sub-neg`
4×	`associate-r`
3×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`fma-neg` `diff-log` `associate-*r/` `difference-of-squares`
1×	`associate-l` `*-commutative`

Counts

3 → 81

Calls

3 calls:

17.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
13.0ms	(- (* z z) t)
43.0ms	(* (* y 4.0) (- (* z z) t))

series249.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
26.0ms	(- (* z z) t)
101.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.4s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1312
1	444
0	151

prune457.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (* y t) 4.0 (- (* x x) (* z (* z (* y 4.0)))))
0.1b	(* z (* z (* y 4.0)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `add-cube-cbrt`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-r` `*-commutative` `fma-udef`

Counts

2 → 35

Calls

2 calls:

0.0ms	(fma (* y t) 4.0 (- (* x x) (* z (* z (* y 4.0)))))
47.0ms	(* z (* z (* y 4.0)))

series203.0ms

Counts

2 → 6

Calls

2 calls:

165.0ms	(fma (* y t) 4.0 (- (* x x) (* z (* z (* y 4.0)))))
38.0ms	(* z (* z (* y 4.0)))

simplify2.4s

Counts

41 → 41

Iterations

Iter	Nodes
done	5000
3	2812
2	608
1	176
0	73

prune270.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* z (* z (* y 4.0)))) (cbrt (* z (* z (* y 4.0)))))
21.1b	(cbrt (* z (* z (* y 4.0))))
21.1b	(cbrt (* z (* z (* y 4.0))))
21.1b	(cbrt (* z (* z (* y 4.0))))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

114.0ms	(* (cbrt (* z (* z (* y 4.0)))) (cbrt (* z (* z (* y 4.0)))))
50.0ms	(cbrt (* z (* z (* y 4.0))))
35.0ms	(cbrt (* z (* z (* y 4.0))))
27.0ms	(cbrt (* z (* z (* y 4.0))))

series742.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(* (cbrt (* z (* z (* y 4.0)))) (cbrt (* z (* z (* y 4.0)))))
159.0ms	(cbrt (* z (* z (* y 4.0))))
174.0ms	(cbrt (* z (* z (* y 4.0))))
167.0ms	(cbrt (* z (* z (* y 4.0))))

simplify1.9s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
3	1659
2	614
1	250
0	101

prune704.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
10.3b	(cbrt (* z (* y 4.0)))
21.1b	(cbrt (* z (* z (* y 4.0))))
21.1b	(cbrt (* z (* z (* y 4.0))))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt z)
10.0ms	(cbrt (* z (* y 4.0)))
46.0ms	(cbrt (* z (* z (* y 4.0))))
60.0ms	(cbrt (* z (* z (* y 4.0))))

series723.0ms

Counts

4 → 12

Calls

4 calls:

278.0ms	(cbrt z)
144.0ms	(cbrt (* z (* y 4.0)))
145.0ms	(cbrt (* z (* z (* y 4.0))))
157.0ms	(cbrt (* z (* z (* y 4.0))))

simplify3.0s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
4	3687
3	1099
2	389
1	193
0	95

prune617.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes937.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.8s

15754×

body

valid