Details

sample36.0ms

Algorithm

intervals

Results

13.0ms

376×

body

valid

simplify133.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	58
4	58
3	55
2	31
1	14
0	8

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--`

Counts

1 → 13

Calls

1 calls:

12.0ms

(- (* x x) (* (* y 4.0) z))

series96.0ms

Counts

1 → 3

Calls

1 calls:

96.0ms

(- (* x x) (* (* y 4.0) z))

simplify4.1s

Counts

16 → 16

Iterations

Iter	Nodes
done	5001
3	1704
2	375
1	104
0	36

prune241.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))
0.2b	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
3.7b	(sqrt (- (* x x) (* (* y 4.0) z)))
3.7b	(sqrt (- (* x x) (* (* y 4.0) z)))

rewrite197.0ms

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×	`frac-times` `insert-posit16` `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` `sqrt-unprod` `diff-log` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

20.0ms	(- (* x x) (* (* y 4.0) z))
139.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
12.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
12.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

series484.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(- (* x x) (* (* y 4.0) z))
92.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
158.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
125.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

simplify4.7s

Counts

115 → 115

Iterations

Iter	Nodes
done	5003
3	2450
2	689
1	255
0	109

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize99.0ms

Local error

Found 4 expressions with local error:

3.7b	(sqrt (- (* x x) (* (* y 4.0) z)))
3.7b	(sqrt (- (* x x) (* (* y 4.0) z)))
3.7b	(sqrt (- (* x x) (* (* y 4.0) z)))
3.7b	(sqrt (- (* x x) (* (* y 4.0) z)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
4×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `add-cbrt-cube` `pow1/2` `add-exp-log` `insert-posit16` `flip--` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

17.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
26.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
25.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
19.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

series599.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
178.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
152.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
135.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

simplify4.1s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
3	1539
2	411
1	131
0	53

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (- (* x x) (* (* y 4.0) z))) (cbrt (* (sqrt (- (* x x) (* (* y 4.0) z))) (- (* x x) (* (* y 4.0) z)))))
3.7b	(sqrt (- (* x x) (* (* y 4.0) z)))
3.7b	(sqrt (- (* x x) (* (* y 4.0) z)))
16.2b	(cbrt (* (sqrt (- (* x x) (* (* y 4.0) z))) (- (* x x) (* (* y 4.0) z))))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
35×	`flip3--` `flip--`
32×	`frac-times` `cbrt-div`
16×	`add-sqr-sqrt` `associate-*r/`
10×	`associate-*l/` `sqrt-prod`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1`
6×	`associate-l` `add-exp-log`
5×	`add-cbrt-cube`
4×	`associate-r` `insert-posit16` `add-log-exp`
2×	`cbrt-prod` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `unswap-sqr`
1×	`pow1/3` `cube-unmult` `pow-prod-down` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

157.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (cbrt (* (sqrt (- (* x x) (* (* y 4.0) z))) (- (* x x) (* (* y 4.0) z)))))
12.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
13.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
57.0ms	(cbrt (* (sqrt (- (* x x) (* (* y 4.0) z))) (- (* x x) (* (* y 4.0) z))))

series517.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (cbrt (* (sqrt (- (* x x) (* (* y 4.0) z))) (- (* x x) (* (* y 4.0) z)))))
136.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
140.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
143.0ms	(cbrt (* (sqrt (- (* x x) (* (* y 4.0) z))) (- (* x x) (* (* y 4.0) z))))

simplify6.4s

Counts

113 → 113

Iterations

Iter	Nodes
done	5002
3	3347
2	912
1	346
0	154

prune1.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes1.1s

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	10
1	10
0	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

992.0ms

12342×

body

valid