Details

sample217.0ms

Algorithm

intervals

Results

19.0ms

335×

body

valid

simplify4.2s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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:

11.0ms	(+ x (* y (- z x)))
34.0ms	(* y (- z x))

series126.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ x (* y (- z x)))
76.0ms	(* y (- z x))

simplify1.8s

Counts

47 → 47

Iterations

Iter	Nodes
done	5007
3	2087
2	503
1	181
0	72

prune230.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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)))
13.0ms	(+ x (+ (* y z) (* y (- x))))

series104.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (* y z) (* y (- x)))
53.0ms	(+ x (+ (* y z) (* y (- x))))

simplify2.4s

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
3	3137
2	687
1	180
0	55

prune190.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z x))
0.2b	(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
2.0b	(sqrt (* y (- z x)))
2.0b	(sqrt (* y (- z x)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`pow-prod-up` `add-cube-cbrt`
9×	`flip3--` `associate-r` `flip--`
8×	`add-cbrt-cube` `add-exp-log`
7×	`associate-l`
6×	`pow-sqr` `sqrt-prod`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

15.0ms	(* y (- z x))
61.0ms	(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
5.0ms	(sqrt (* y (- z x)))
5.0ms	(sqrt (* y (- z x)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* y (- z x))
133.0ms	(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
67.0ms	(sqrt (* y (- z x)))
74.0ms	(sqrt (* y (- z x)))

simplify2.1s

Counts

121 → 121

Iterations

Iter	Nodes
done	5006
3	2993
2	726
1	287
0	128

prune513.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
18×	`*-un-lft-identity`
16×	`sqrt-div` `add-cube-cbrt`
11×	`associate-r`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-l`
8×	`flip3-+` `add-cbrt-cube` `swap-sqr` `add-exp-log` `flip-+`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `pow-prod-down` `associate-*r/` `add-log-exp`
3×	`pow-sqr`
2×	`distribute-rgt-in` `rem-sqrt-square` `sub-neg` `distribute-lft-in` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `rem-square-sqrt` `pow-plus` `flip3--` `sqrt-unprod` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 113

Calls

4 calls:

16.0ms	(* y (- z x))
4.0ms	(sqrt (+ x (* y (- z x))))
4.0ms	(sqrt (+ x (* y (- z x))))
49.0ms	(* (sqrt (+ x (* y (- z x)))) (sqrt (+ x (* y (- z x)))))

series444.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* y (- z x))
170.0ms	(sqrt (+ x (* y (- z x))))
161.0ms	(sqrt (+ x (* y (- z x))))
51.0ms	(* (sqrt (+ x (* y (- z x)))) (sqrt (+ x (* y (- z x)))))

simplify2.4s

Counts

125 → 125

Iterations

Iter	Nodes
done	5001
3	3542
2	823
1	316
0	139

prune511.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes282.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	19
3	19
2	18
1	14
0	8

end0.0ms

sample777.0ms

Algorithm

intervals

Results

444.0ms

10082×

body

valid