Details

sample42.0ms

Algorithm

intervals

Results

23.0ms

468×

body

valid

simplify40.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	79
5	79
4	71
3	51
2	29
1	14
0	7

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.1b	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
7×	`sum-log`
4×	`fma-def`
3×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `+-commutative` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `log1p-expm1-u`
1×	`associate-+l+`

Counts

2 → 33

Calls

2 calls:

6.0ms	(+ (* x x) (* y y))
130.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series93.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (* x x) (* y y))
46.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify1.7s

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
2	1427
1	228
0	60

prune201.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.2b	(* y (* y 3))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

30.0ms

(* y (* y 3))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* y (* y 3))

simplify819.0ms

Counts

23 → 23

Iterations

Iter	Nodes
done	5000
2	465
1	89
0	35

prune99.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* y (* y 3))) (cbrt (* y (* y 3))))
21.9b	(cbrt (* y (* y 3)))
21.9b	(cbrt (* y (* y 3)))
21.9b	(cbrt (* y (* y 3)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

23.0ms	(* (cbrt (* y (* y 3))) (cbrt (* y (* y 3))))
21.0ms	(cbrt (* y (* y 3)))
17.0ms	(cbrt (* y (* y 3)))
17.0ms	(cbrt (* y (* y 3)))

series1.5s

Counts

4 → 12

Calls

4 calls:

422.0ms	(* (cbrt (* y (* y 3))) (cbrt (* y (* y 3))))
354.0ms	(cbrt (* y (* y 3)))
401.0ms	(cbrt (* y (* y 3)))
329.0ms	(cbrt (* y (* y 3)))

simplify1.0s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	622
1	130
0	55

prune477.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))
7.2b	(cbrt (+ (+ (* x x) (* y y)) (* y y)))
7.2b	(cbrt (+ (+ (* x x) (* y y)) (* y y)))
7.2b	(cbrt (+ (+ (* x x) (* y y)) (* y y)))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 95

Calls

4 calls:

152.0ms	(* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))
22.0ms	(cbrt (+ (+ (* x x) (* y y)) (* y y)))
14.0ms	(cbrt (+ (+ (* x x) (* y y)) (* y y)))
13.0ms	(cbrt (+ (+ (* x x) (* y y)) (* y y)))

series683.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))
158.0ms	(cbrt (+ (+ (* x x) (* y y)) (* y y)))
186.0ms	(cbrt (+ (+ (* x x) (* y y)) (* y y)))
192.0ms	(cbrt (+ (+ (* x x) (* y y)) (* y y)))

simplify1.5s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1006
1	269
0	115

prune646.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes203.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

14153×

body

valid