Details

sample123.0ms

Algorithm

intervals

Results

10.0ms

327×

body

valid

simplify2.0s

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

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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:

31.0ms	(* y (- z x))
15.0ms	(+ x (* y (- z x)))

series108.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* y (- z x))
49.0ms	(+ x (* y (- z x)))

simplify1.6s

Counts

47 → 47

Iterations

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

prune200.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

6.0ms	(+ (* y z) x)
56.0ms	(+ (+ (* y z) x) (* y (- x)))

series62.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (* y z) x)
32.0ms	(+ (+ (* y z) x) (* y (- x)))

simplify497.0ms

Counts

32 → 32

Iterations

Iter	Nodes
done	5002
2	919
1	170
0	53

prune152.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`associate-l`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
8×	`add-cube-cbrt`
7×	`associate-r` `sqrt-prod`
5×	`add-log-exp`
4×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 60

Calls

3 calls:

12.0ms	(+ x (* (sqrt y) (* (- z x) (sqrt y))))
30.0ms	(* (- z x) (sqrt y))
36.0ms	(* (sqrt y) (* (- z x) (sqrt y)))

series237.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(+ x (* (sqrt y) (* (- z x) (sqrt y))))
69.0ms	(* (- z x) (sqrt y))
84.0ms	(* (sqrt y) (* (- z x) (sqrt y)))

simplify548.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	992
1	279
0	111

prune289.0ms

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

rewrite175.0ms

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

Counts

4 → 98

Calls

4 calls:

15.0ms	(+ (* (- z x) y) x)
25.0ms	(sqrt (+ (* (- z x) y) x))
13.0ms	(sqrt (+ (* (- z x) y) x))
119.0ms	(* (sqrt (+ (* (- z x) y) x)) (sqrt (+ (* (- z x) y) x)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (* (- z x) y) x)
125.0ms	(sqrt (+ (* (- z x) y) x))
130.0ms	(sqrt (+ (* (- z x) y) x))
45.0ms	(* (sqrt (+ (* (- z x) y) x)) (sqrt (+ (* (- z x) y) x)))

simplify721.0ms

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1302
1	287
0	113

prune407.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes232.0ms

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

sample927.0ms

Algorithm

intervals

Results

449.0ms

10111×

body

valid