Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

322×

body

valid

simplify885.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
10	1750
9	381
8	140
7	100
6	79
5	68
4	53
3	34
2	20
1	13
0	8

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) x)
0.0b	(- (* y 1.0) (* (- y z) x))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

32.0ms	(* (- y z) x)
13.0ms	(- (* y 1.0) (* (- y z) x))

series105.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* (- y z) x)
53.0ms	(- (* y 1.0) (* (- y z) x))

simplify448.0ms

Counts

40 → 40

Iterations

Iter	Nodes
done	5001
2	703
1	181
0	74

prune201.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ y z) x)
0.0b	(- (* y 1.0) (/ (* (* (+ y z) x) (- y z)) (+ y z)))
0.2b	(* (* (+ y z) x) (- y z))
18.8b	(/ (* (* (+ y z) x) (- y z)) (+ y z))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

16.0ms	(* (+ y z) x)
20.0ms	(- (* y 1.0) (/ (* (* (+ y z) x) (- y z)) (+ y z)))
46.0ms	(* (* (+ y z) x) (- y z))
50.0ms	(/ (* (* (+ y z) x) (- y z)) (+ y z))

series164.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (+ y z) x)
38.0ms	(- (* y 1.0) (/ (* (* (+ y z) x) (- y z)) (+ y z)))
54.0ms	(* (* (+ y z) x) (- y z))
33.0ms	(/ (* (* (+ y z) x) (- y z)) (+ y z))

simplify2.4s

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
2	4463
1	516
0	165

prune652.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ z y))
0.0b	(/ (* x (+ z y)) (/ (+ z y) (- y z)))
0.3b	(pow (/ (* x (+ z y)) (/ (+ z y) (- y z))) 3)
34.4b	(cbrt (pow (/ (* x (+ z y)) (/ (+ z y) (- y z))) 3))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

250×	`times-frac`
182×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
72×	`add-cube-cbrt`
68×	`cbrt-prod`
62×	`unpow-prod-down` `cube-prod`
31×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
26×	`associate-/r*`
24×	`distribute-lft-out--` `difference-of-squares`
17×	`associate-/r/`
12×	`cbrt-undiv` `div-exp`
11×	`div-inv`
7×	`pow1`
6×	`flip3--` `flip--`
5×	`pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt`
4×	`associate-r` `associate-*r/` `add-log-exp`
3×	`pow-unpow` `associate-l`
2×	`cube-div` `cube-mult` `flip3-+` `unpow3` `flip-+` `sqr-pow` `associate-/l/`
1×	`distribute-rgt-in` `pow-to-exp` `cbrt-div` `clear-num` `pow-pow` `frac-2neg` `distribute-lft-in` `pow1/3` `pow-prod-down` `-commutative` `rem-cbrt-cube` `associate-/l` `unswap-sqr`

Counts

4 → 263

Calls

4 calls:

24.0ms	(* x (+ z y))
33.0ms	(/ (* x (+ z y)) (/ (+ z y) (- y z)))
33.0ms	(pow (/ (* x (+ z y)) (/ (+ z y) (- y z))) 3)
25.0ms	(cbrt (pow (/ (* x (+ z y)) (/ (+ z y) (- y z))) 3))

series195.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* x (+ z y))
40.0ms	(/ (* x (+ z y)) (/ (+ z y) (- y z)))
64.0ms	(pow (/ (* x (+ z y)) (/ (+ z y) (- y z))) 3)
62.0ms	(cbrt (pow (/ (* x (+ z y)) (/ (+ z y) (- y z))) 3))

simplify553.0ms

Counts

275 → 275

Iterations

Iter	Nodes
done	5001
1	1173
0	321

prune1.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

521×	`times-frac`
474×	`*-un-lft-identity`
319×	`add-sqr-sqrt`
242×	`add-cube-cbrt`
183×	`sqrt-prod`
107×	`associate-l`
101×	`distribute-lft-out`
45×	`associate-/r*`
41×	`associate-r`
34×	`add-cbrt-cube` `add-exp-log`
22×	`associate-/r/`
15×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
14×	`cbrt-undiv` `div-exp`
12×	`div-inv` `unswap-sqr`
11×	`flip3-+` `flip-+`
9×	`pow1`
6×	`sqrt-div` `prod-exp` `cbrt-unprod`
4×	`add-log-exp` `associate-/l/`
3×	`clear-num` `frac-2neg`
2×	`pow-div`
1×	`frac-times` `sqrt-pow1` `flip3--` `pow1/2` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip--`

Counts

4 → 459

Calls

4 calls:

30.0ms	(/ x (/ (sqrt (+ z y)) (+ z y)))
21.0ms	(/ (sqrt (+ z y)) (+ z y))
189.0ms	(* (/ x (/ (sqrt (+ z y)) (+ z y))) (/ (- y z) (sqrt (+ z y))))
19.0ms	(/ (- y z) (sqrt (+ z y)))

series440.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(/ x (/ (sqrt (+ z y)) (+ z y)))
118.0ms	(/ (sqrt (+ z y)) (+ z y))
121.0ms	(* (/ x (/ (sqrt (+ z y)) (+ z y))) (/ (- y z) (sqrt (+ z y))))
86.0ms	(/ (- y z) (sqrt (+ z y)))

simplify839.0ms

Counts

471 → 471

Iterations

Iter	Nodes
done	5000
1	1584
0	498

prune2.0s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes165.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

586.0ms

10109×

body

valid