Details

sample95.0ms

Algorithm

intervals

Results

46.0ms

446×

body

valid

simplify4.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

42.0ms	(+ (+ (* x y) (* z t)) (* a b))
16.0ms	(+ (* x y) (* z t))
167.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series478.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(+ (+ (* x y) (* z t)) (* a b))
74.0ms	(+ (* x y) (* z t))
308.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify43.0ms

Counts: 47 → 47

prune224.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.0s

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:

112.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
71.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
104.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
748.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series804.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
197.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
187.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
249.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify130.0ms

Counts: 99 → 99

prune603.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

380×	`cbrt-div`
140×	`frac-times`
116×	`flip3-+` `flip-+`
46×	`associate-r/` `associate-l/`
42×	`cbrt-prod`
32×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow1`
14×	`pow1/3`
10×	`swap-sqr` `associate-r` `associate-l`
8×	`add-exp-log` `unswap-sqr`
4×	`pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 194

Calls

4 calls:

648.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
91.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
61.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
233.0ms	(* (cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))) (cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))))

series1.1s

Counts

4 → 12

Calls

4 calls:

265.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
210.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
176.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
406.0ms	(* (cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))) (cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))))

simplify155.0ms

Counts: 206 → 206

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize126.0ms

Local error

Found 4 expressions with local error:

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

rewrite547.0ms

Algorithm

rewrite-expression-head

Rules

372×	`cbrt-div`
136×	`frac-times`
111×	`flip3-+` `flip-+`
44×	`associate-r/` `associate-l/`
35×	`cbrt-prod`
18×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `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 → 162

Calls

4 calls:

105.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
75.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
79.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
270.0ms	(* (cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))) (cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))))

series911.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
176.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
164.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
396.0ms	(* (cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))) (cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))))

simplify189.0ms

Counts: 174 → 174

prune1.2s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes768.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.4s

13625×

body

valid