Details

sample74.0ms

Algorithm

intervals

Results

16.0ms

330×

body

valid

simplify8.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	2995
11	1546
10	566
9	266
8	150
7	91
6	69
5	59
4	47
3	31
2	17
1	10
0	6

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 2 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

63.0ms	(* y (- z x))
18.0ms	(+ x (* y (- z x)))

series150.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(* y (- z x))
78.0ms	(+ x (* y (- z x)))

simplify3.8s

Counts

49 → 49

Iterations

Iter	Nodes
done	5009
3	1987
2	501
1	181
0	74

prune561.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
4.3b	(- (* z z) (* x x))
9.0b	(* y (- (* z z) (* x x)))
16.3b	(/ (* y (- (* z z) (* x x))) (+ z x))

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
11×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`associate-/r` `times-frac` `associate-r` `associate-r/` `insert-posit16`
3×	`sub-neg` `flip3--` `associate-l` `flip--` `distribute-lft-out`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `difference-of-squares` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `diff-log` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

54.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
33.0ms	(- (* z z) (* x x))
118.0ms	(* y (- (* z z) (* x x)))
93.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

series485.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
57.0ms	(- (* z z) (* x x))
137.0ms	(* y (- (* z z) (* x x)))
185.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

simplify3.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1444
1	388
0	132

prune897.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (sqrt y) (* (sqrt y) (- z x))))
0.1b	(* (sqrt y) (- z x))
0.1b	(* (sqrt y) (* (sqrt y) (- z x)))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

18×	`distribute-rgt-in` `distribute-lft-in`
14×	`add-sqr-sqrt`
12×	`associate-l`
10×	`pow1` `sub-neg` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
8×	`associate-+r+` `add-cube-cbrt`
7×	`sqrt-prod`
6×	`associate-r` `associate-*r/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`insert-posit16`
2×	`flip3--` `*-commutative` `flip--` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 83

Calls

3 calls:

33.0ms	(+ x (* (sqrt y) (* (sqrt y) (- z x))))
101.0ms	(* (sqrt y) (- z x))
107.0ms	(* (sqrt y) (* (sqrt y) (- z x)))

series358.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(+ x (* (sqrt y) (* (sqrt y) (- z x))))
146.0ms	(* (sqrt y) (- z x))
99.0ms	(* (sqrt y) (* (sqrt y) (- z x)))

simplify3.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1103
1	373
0	136

prune780.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes661.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample1.0s

Algorithm

intervals

Results

617.0ms

10227×

body

valid