Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

383×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	11
1	18	11
2	24	11
done	24	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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+`

Counts

2 → 24

Calls

2 calls:

11.0ms	(+ (+ (* x y) (* z t)) (* a b))
3.0ms	(+ (* x y) (* z t))

series94.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ (+ (* x y) (* z t)) (* a b))
36.0ms	(+ (* x y) (* z t))

simplify1.1s

Counts

30 → 30

Iterations

Useful iterations: 3 (209.0ms)

Iter	Nodes	Cost
0	57	421
1	185	395
2	620	373
3	2077	369
done	5000	369

prune91.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.6b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite83.0ms

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:

59.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
7.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
7.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
7.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series595.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
126.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
132.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
128.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify1.4s

Counts

99 → 99

Iterations

Useful iterations: 3 (464.0ms)

Iter	Nodes	Cost
0	128	2784
1	308	2609
2	935	2429
3	3142	2144
done	5000	2144

prune330.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

7.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
7.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
7.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
7.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series526.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
129.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
135.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
129.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify1.9s

Counts

64 → 64

Iterations

Useful iterations: 4 (649.0ms)

Iter	Nodes	Cost
0	61	1316
1	155	1288
2	402	1188
3	1203	1152
4	3833	1124
done	5000	1124

prune272.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.1b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.1b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.3b	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

2.0ms	(+ (* x y) (* z t))
12.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
15.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
59.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

series1.0s

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (* x y) (* z t))
460.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
460.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
60.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

simplify495.0ms

Counts

110 → 110

Iterations

Useful iterations: done (492.0ms)

Iter	Nodes	Cost
0	135	2914
1	332	2109
2	1283	1967
done	5000	1963

prune286.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes335.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	16	11
done	16	11

end0.0ms

sample769.0ms

Algorithm

intervals

Results

374.0ms

11918×

body

valid