Details

sample32.0ms

Algorithm

intervals

Results

19.0ms

310×

body

valid

simplify53.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	67
5	67
4	63
3	46
2	24
1	11
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* y z))
3.4b	(* x (- 1.0 (* y z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`sub-neg` `associate-r` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-*r/` `insert-posit16` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

5.0ms	(- 1.0 (* y z))
14.0ms	(* x (- 1.0 (* y z)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- 1.0 (* y z))
53.0ms	(* x (- 1.0 (* y z)))

simplify766.0ms

Counts

44 → 44

Iterations

Iter	Nodes
done	2000
3	1553
2	437
1	154
0	62

prune153.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.3b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 x) (* (- (* y z)) x))
6.9b	(* (- (* y z)) x)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-l`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`distribute-lft-neg-out` `associate-r`
2×	`insert-posit16`
1×	`distribute-lft-neg-in` `+-commutative` `neg-mul-1` `sum-log` `distribute-rgt-neg-in` `flip3-+` `distribute-rgt-out` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

10.0ms	(+ (* 1.0 x) (* (- (* y z)) x))
13.0ms	(* (- (* y z)) x)

series105.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+ (* 1.0 x) (* (- (* y z)) x))
38.0ms	(* (- (* y z)) x)

simplify562.0ms

Counts

44 → 44

Iterations

Iter	Nodes
done	2000
2	742
1	189
0	68

prune169.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (* (cbrt (- (* y z))) (cbrt (- (* y z)))) (* (cbrt (- (* y z))) x))
12.7b	(cbrt (- (* y z)))
12.7b	(cbrt (- (* y z)))
12.7b	(cbrt (- (* y z)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
16×	`pow1` `add-exp-log`
10×	`add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16` `add-log-exp`
3×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 68

Calls

4 calls:

74.0ms	(* (* (cbrt (- (* y z))) (cbrt (- (* y z)))) (* (cbrt (- (* y z))) x))
3.0ms	(cbrt (- (* y z)))
3.0ms	(cbrt (- (* y z)))
3.0ms	(cbrt (- (* y z)))

series420.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (* (cbrt (- (* y z))) (cbrt (- (* y z)))) (* (cbrt (- (* y z))) x))
102.0ms	(cbrt (- (* y z)))
109.0ms	(cbrt (- (* y z)))
128.0ms	(cbrt (- (* y z)))

simplify633.0ms

Counts

80 → 80

Iterations

Iter	Nodes
done	2000
2	685
1	207
0	88

prune332.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

12.7b	(cbrt (- (* y z)))
12.7b	(cbrt (- (* y z)))
12.7b	(cbrt (- (* y z)))
12.7b	(cbrt (* (* (cbrt (- (* y z))) (cbrt (- (* y z)))) (cbrt (- (* y z)))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 56

Calls

4 calls:

2.0ms	(cbrt (- (* y z)))
2.0ms	(cbrt (- (* y z)))
2.0ms	(cbrt (- (* y z)))
27.0ms	(cbrt (* (* (cbrt (- (* y z))) (cbrt (- (* y z)))) (cbrt (- (* y z)))))

series468.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(cbrt (- (* y z)))
121.0ms	(cbrt (- (* y z)))
109.0ms	(cbrt (- (* y z)))
124.0ms	(cbrt (* (* (cbrt (- (* y z))) (cbrt (- (* y z)))) (cbrt (- (* y z)))))

simplify555.0ms

Counts

68 → 68

Iterations

Iter	Nodes
done	2005
4	1040
3	398
2	177
1	107
0	60

prune368.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes339.0ms

Accuracy

97.3% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.2b

bsearch2.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	54
3	54
2	50
1	37
0	20

end0.0ms

sample710.0ms

Algorithm

intervals

Results

468.0ms

9496×

body

valid