Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

308×

body

valid

simplify54.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	72
5	72
4	68
3	46
2	24
1	11
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize8.0ms

Local error

Found 1 expressions with local error:

3.3b	(* x (- 1.0 (* y z)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

13.0ms

(* x (- 1.0 (* y z)))

series79.0ms

Counts

1 → 3

Calls

1 calls:

79.0ms

(* x (- 1.0 (* y z)))

simplify1.7s

Counts

27 → 27

Iterations

Iter	Nodes
done	5002
3	2577
2	535
1	132
0	51

prune105.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 x) (* (- (* y z)) x))
5.4b	(* (- (* y z)) x)

rewrite18.0ms

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`
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 → 36

Calls

2 calls:

9.0ms	(+ (* 1.0 x) (* (- (* y z)) x))
9.0ms	(* (- (* y z)) x)

series91.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ (* 1.0 x) (* (- (* y z)) x))
27.0ms	(* (- (* y z)) x)

simplify876.0ms

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
2	1159
1	187
0	66

prune242.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
2.4b	(* (* (- (* y z)) (* (cbrt x) (cbrt x))) (cbrt x))
3.3b	(* (- (* y z)) (* (cbrt x) (cbrt x)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
11×	`add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`cbrt-prod` `*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
7×	`associate-r` `associate-l`
4×	`add-log-exp`
3×	`distribute-lft-neg-out`
2×	`pow1/3` `*-commutative`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
60.0ms	(* (* (- (* y z)) (* (cbrt x) (cbrt x))) (cbrt x))
24.0ms	(* (- (* y z)) (* (cbrt x) (cbrt x)))

series705.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(cbrt x)
269.0ms	(cbrt x)
68.0ms	(* (* (- (* y z)) (* (cbrt x) (cbrt x))) (cbrt x))
124.0ms	(* (- (* y z)) (* (cbrt x) (cbrt x)))

simplify1.4s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
2	1822
1	273
0	92

prune415.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (- x))
2.4b	(* (* (- (* y z)) (* (cbrt x) (cbrt x))) (* (cbrt (- x)) (cbrt -1)))
3.3b	(* (- (* y z)) (* (cbrt x) (cbrt x)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1` `add-exp-log`
18×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`cbrt-prod`
10×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `add-log-exp`
3×	`distribute-lft-neg-out`
2×	`neg-mul-1` `pow1/3` `associate-r` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 81

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt (- x))
78.0ms	(* (* (- (* y z)) (* (cbrt x) (cbrt x))) (* (cbrt (- x)) (cbrt -1)))
20.0ms	(* (- (* y z)) (* (cbrt x) (cbrt x)))

series773.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(cbrt x)
250.0ms	(cbrt (- x))
147.0ms	(* (* (- (* y z)) (* (cbrt x) (cbrt x))) (* (cbrt (- x)) (cbrt -1)))
142.0ms	(* (- (* y z)) (* (cbrt x) (cbrt x)))

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1940
1	345
0	126

prune468.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes459.0ms

Accuracy

88.5% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.6b

bsearch1.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	53
3	53
2	49
1	37
0	19

end0.0ms

sample584.0ms

Algorithm

intervals

Results

346.0ms

9559×

body

valid