Details

sample39.0ms

Algorithm

intervals

Results

14.0ms

301×

body

valid

simplify54.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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×	`associate-*l/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

22.0ms

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

series70.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify601.0ms

Counts

23 → 23

Iterations

Iter	Nodes
done	5000
2	501
1	117
0	47

prune136.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.5b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.0b	(* (* (- 1.0 (* z y)) (* (cbrt x) (cbrt x))) (cbrt x))
2.7b	(* (- 1.0 (* z y)) (* (cbrt x) (cbrt x)))

rewrite145.0ms

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`
6×	`associate-*l/`
4×	`associate-l` `add-log-exp`
2×	`flip3--` `pow1/3` `*-commutative` `flip--`
1×	`unswap-sqr`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
108.0ms	(* (* (- 1.0 (* z y)) (* (cbrt x) (cbrt x))) (cbrt x))
32.0ms	(* (- 1.0 (* z y)) (* (cbrt x) (cbrt x)))

series916.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(cbrt x)
297.0ms	(cbrt x)
90.0ms	(* (* (- 1.0 (* z y)) (* (cbrt x) (cbrt x))) (cbrt x))
271.0ms	(* (- 1.0 (* z y)) (* (cbrt x) (cbrt x)))

simplify973.0ms

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
2	1686
1	297
0	102

prune411.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* y z) z)
2.6b	(* (- (* 1.0 1.0) (* y (* (* y z) z))) x)
4.7b	(* y (* (* y z) z))
9.7b	(/ (* (- (* 1.0 1.0) (* y (* (* y z) z))) x) (+ 1.0 (* z y)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube` `add-exp-log`
20×	`pow1`
12×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
10×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt`
7×	`associate-r` `associate-l`
4×	`associate-*l/` `add-log-exp`
3×	`associate-/r` `times-frac` `-commutative`
2×	`cbrt-undiv` `flip3--` `div-exp` `associate-/r/` `flip--` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

15.0ms	(* (* y z) z)
20.0ms	(* (- (* 1.0 1.0) (* y (* (* y z) z))) x)
38.0ms	(* y (* (* y z) z))
17.0ms	(/ (* (- (* 1.0 1.0) (* y (* (* y z) z))) x) (+ 1.0 (* z y)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* y z) z)
60.0ms	(* (- (* 1.0 1.0) (* y (* (* y z) z))) x)
36.0ms	(* y (* (* y z) z))
77.0ms	(/ (* (- (* 1.0 1.0) (* y (* (* y z) z))) x) (+ 1.0 (* z y)))

simplify2.3s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	3664
1	452
0	151

prune504.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (* (* x z) y))
6.2b	(* (* x z) y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `associate-l` `*-commutative` `flip--`

Counts

2 → 30

Calls

2 calls:

4.0ms	(- x (* (* x z) y))
14.0ms	(* (* x z) y)

series116.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(- x (* (* x z) y))
44.0ms	(* (* x z) y)

simplify675.0ms

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
2	977
1	161
0	61

prune140.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes482.0ms

Accuracy

93.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.0b

bsearch2.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	25
1	25
0	17

end0.0ms

sample915.0ms

Algorithm

intervals

Results

446.0ms

9602×

body

valid