Details

sample38.0ms

Algorithm

intervals

Results

16.0ms	328×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify430.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.2s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

28.0ms	(+ (+ y z) z)
136.0ms	(+ (+ (+ y z) z) y)
586.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
1.5s	(* x (+ (+ (+ (+ y z) z) y) t))

series216.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (+ y z) z)
45.0ms	(+ (+ (+ y z) z) y)
75.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
59.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify629.0ms

Counts: 83 → 83

prune255.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite26.0ms

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:

19.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

245.0ms	(* (cbrt x) (cbrt x))
313.0ms	(cbrt x)
318.0ms	(cbrt x)
357.0ms	(cbrt x)

simplify700.0ms

Counts: 85 → 85

prune308.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.1s

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:

354.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
369.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
426.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
2.9s	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

series1.8s

Counts

4 → 12

Calls

4 calls:

456.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
410.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
383.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
566.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

simplify756.0ms

Counts: 99 → 99

prune519.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.1s

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`cbrt-div`
18×	`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 → 96

Calls

4 calls:

2.8s	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
444.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
404.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
478.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

series1.8s

Counts

4 → 12

Calls

4 calls:

613.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
458.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
345.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
384.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

simplify713.0ms

Counts: 108 → 108

prune571.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes268.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify515.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	10569×	body	80	valid
73.0ms	117×	body	640	valid
19.0ms	73×	body	1280	valid
9.0ms	58×	body	320	valid
3.0ms	34×	body	160	valid