Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	320×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify4.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

20.0ms	(* x (+ y z))
13.0ms	(+ (* x (+ y z)) (* z 5.0))

series64.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* x (+ y z))
33.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify111.0ms

Counts: 42 → 42

prune83.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* x z))
0.0b	(+ (+ (* x y) (* x z)) (* z 5.0))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

8.0ms	(+ (* x y) (* x z))
35.0ms	(+ (+ (* x y) (* x z)) (* z 5.0))

series71.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* x y) (* x z))
33.0ms	(+ (+ (* x y) (* x z)) (* z 5.0))

simplify96.0ms

Counts: 31 → 31

prune71.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
4.7b	(cbrt (* x (+ y z)))
4.7b	(cbrt (* x (+ y z)))
4.7b	(cbrt (* x (+ y z)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

20.0ms	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
12.0ms	(cbrt (* x (+ y z)))
7.0ms	(cbrt (* x (+ y z)))
7.0ms	(cbrt (* x (+ y z)))

series506.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
116.0ms	(cbrt (* x (+ y z)))
116.0ms	(cbrt (* x (+ y z)))
116.0ms	(cbrt (* x (+ y z)))

simplify64.0ms

Counts: 84 → 84

prune261.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
0.6b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.6b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.6b	(cbrt (+ (* x (+ y z)) (* z 5.0)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

79.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
15.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
10.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
9.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

series760.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
176.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
170.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
175.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

simplify45.0ms

Counts: 99 → 99

prune271.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes162.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample773.0ms

Algorithm

intervals

Results

417.0ms	9854×	body	80	valid
15.0ms	115×	body	1280	valid
11.0ms	111×	body	640	valid
4.0ms	52×	body	320	valid
2.0ms	31×	body	160	valid