Details

sample25.0ms

Algorithm

intervals

Results

10.0ms	309×	body	80	valid
1.0ms	6×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	4×	body	320	valid

simplify24.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	18	9
2	28	9
3	42	9
4	47	9
done	47	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:

23.0ms	(* x (+ y z))
15.0ms	(+ (* x (+ y z)) (* z 5.0))

series85.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* x (+ y z))
55.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify676.0ms

Counts

42 → 42

Iterations

Useful iterations: 2 (130.0ms)

Iter	Nodes	Cost
0	72	422
1	226	394
2	1000	358
done	5001	358

prune128.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

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-+r+` `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:

40.0ms	(* z (+ x 5.0))
24.0ms	(+ (* y x) (* z (+ x 5.0)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* z (+ x 5.0))
33.0ms	(+ (* y x) (* z (+ x 5.0)))

simplify846.0ms

Counts

42 → 42

Iterations

Useful iterations: 2 (183.0ms)

Iter	Nodes	Cost
0	72	422
1	225	386
2	1029	356
done	5002	356

prune129.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

14.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

296.0ms	(* (cbrt z) (cbrt z))
264.0ms	(cbrt z)
249.0ms	(cbrt z)
288.0ms	(cbrt z)

simplify1.5s

Counts

85 → 85

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune227.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
3.8b	(* z (- (* x x) (* 5.0 5.0)))
7.4b	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

27.0ms	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
41.0ms	(* z (- (* x x) (* 5.0 5.0)))
40.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series265.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
71.0ms	(* z (- (* x x) (* 5.0 5.0)))
105.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify1.0s

Counts

74 → 74

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	142	1242
1	423	1169
2	2086	1023
done	5001	1017

prune204.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

520.0ms	9830×	body	80	valid
57.0ms	110×	body	1280	valid
17.0ms	116×	body	640	valid
7.0ms	61×	body	320	valid
3.0ms	45×	body	160	valid