Details

sample96.0ms

Algorithm

intervals

Results

11.0ms

327×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	2700
9	626
8	237
7	98
6	80
5	69
4	49
3	31
2	17
1	10
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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/`
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 → 41

Calls

2 calls:

22.0ms	(* y (- z x))
8.0ms	(+ x (* y (- z x)))

series124.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* y (- z x))
68.0ms	(+ x (* y (- z x)))

simplify2.0s

Counts

47 → 47

Iterations

Iter	Nodes
done	5001
3	3059
2	595
1	185
0	72

prune280.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log` `*-un-lft-identity` `distribute-rgt-neg-out`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r-` `flip3-+` `add-cbrt-cube` `unsub-neg` `add-exp-log` `add-cube-cbrt` `flip-+` `distribute-lft-out`
1×	`associate-+r+`

Counts

2 → 30

Calls

2 calls:

10.0ms	(+ (* y z) (* y (- x)))
17.0ms	(+ x (+ (* y z) (* y (- x))))

series90.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ (* y z) (* y (- x)))
41.0ms	(+ x (+ (* y z) (* y (- x))))

simplify3.0s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
3	4624
2	727
1	181
0	55

prune186.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (sqrt y) (* (sqrt y) (- z x))))
0.1b	(* (sqrt y) (- z x))
0.2b	(* (sqrt y) (* (sqrt y) (- z x)))

rewrite116.0ms

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`
2×	`flip3--` `*-commutative` `flip--` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 80

Calls

3 calls:

15.0ms	(+ x (* (sqrt y) (* (sqrt y) (- z x))))
38.0ms	(* (sqrt y) (- z x))
59.0ms	(* (sqrt y) (* (sqrt y) (- z x)))

series247.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ x (* (sqrt y) (* (sqrt y) (- z x))))
107.0ms	(* (sqrt y) (- z x))
64.0ms	(* (sqrt y) (* (sqrt y) (- z x)))

simplify1.6s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1761
1	370
0	133

prune281.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (- z x)))
0.1b	(sqrt (+ x (* y (- z x))))
0.1b	(sqrt (+ x (* y (- z x))))
0.2b	(* (sqrt (+ x (* y (- z x)))) (sqrt (+ x (* y (- z x)))))

rewrite70.0ms

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` `associate-+r+` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`distribute-rgt-in` `rem-sqrt-square` `sub-neg` `distribute-lft-in` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `sum-log` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

11.0ms	(+ x (* y (- z x)))
8.0ms	(sqrt (+ x (* y (- z x))))
8.0ms	(sqrt (+ x (* y (- z x))))
37.0ms	(* (sqrt (+ x (* y (- z x)))) (sqrt (+ x (* y (- z x)))))

series420.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ x (* y (- z x)))
173.0ms	(sqrt (+ x (* y (- z x))))
146.0ms	(sqrt (+ x (* y (- z x))))
48.0ms	(* (sqrt (+ x (* y (- z x)))) (sqrt (+ x (* y (- z x)))))

simplify1.1s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	1186
1	257
0	107

prune504.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes340.0ms

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	19
3	19
2	18
1	14
0	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

695.0ms

10111×

body

valid