Details

sample36.0ms

Algorithm

intervals

Results

15.0ms

377×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1697
5	646
4	242
3	80
2	28
1	14
0	8

prune4.0ms

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

9.0ms	(+ x (* (- y z) (- t x)))
32.0ms	(* (- y z) (- t x))

series116.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(+ x (* (- y z) (- t x)))
43.0ms	(* (- y z) (- t x))

simplify1.2s

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
2	1090
1	299
0	110

prune380.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
10×	`associate-l`
9×	`add-cube-cbrt`
8×	`associate-*l/` `add-log-exp`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`flip3--` `frac-add` `flip--`
3×	`distribute-lft-neg-in` `sum-log` `distribute-rgt-neg-in` `flip3-+` `distribute-rgt-neg-out` `flip-+`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `neg-mul-1` `unsub-neg`

Counts

3 → 71

Calls

3 calls:

20.0ms	(* (- y z) (- x))
27.0ms	(+ (+ x (* (- y z) t)) (* (- y z) (- x)))
22.0ms	(* (- y z) t)

series165.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* (- y z) (- x))
75.0ms	(+ (+ x (* (- y z) t)) (* (- y z) (- x)))
39.0ms	(* (- y z) t)

simplify1.5s

Counts

80 → 80

Iterations

Iter	Nodes
done	5002
2	1622
1	444
0	149

prune484.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- y z)) (cbrt (- y z)))
0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

32.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))

series755.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
194.0ms	(cbrt (- y z))
208.0ms	(cbrt (- y z))
159.0ms	(cbrt (- y z))

simplify1.6s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
3	1772
2	674
1	284
0	131

prune600.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

1.4b	(- (* t (* t t)) (* x (* x x)))
1.9b	(+ (* x x) (* t x))
5.3b	(* (- (* t (* t t)) (* x (* x x))) (- y z))
30.6b	(/ (* (- (* t (* t t)) (* x (* x x))) (- y z)) (+ (* t t) (+ (* x x) (* t x))))

rewrite279.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

38.0ms	(- (* t (* t t)) (* x (* x x)))
10.0ms	(+ (* x x) (* t x))
141.0ms	(* (- (* t (* t t)) (* x (* x x))) (- y z))
85.0ms	(/ (* (- (* t (* t t)) (* x (* x x))) (- y z)) (+ (* t t) (+ (* x x) (* t x))))

series348.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (* t (* t t)) (* x (* x x)))
39.0ms	(+ (* x x) (* t x))
100.0ms	(* (- (* t (* t t)) (* x (* x x))) (- y z))
142.0ms	(/ (* (- (* t (* t t)) (* x (* x x))) (- y z)) (+ (* t t) (+ (* x x) (* t x))))

simplify2.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2654
1	549
0	176

prune716.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes274.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	21
3	21
2	20
1	16
0	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

470.0ms

12179×

body

valid