Details

sample96.0ms

Algorithm

intervals

Results

44.0ms

441×

body

valid

simplify60.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite205.0ms

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:

144.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
25.0ms	(+ (* x y) (* z t))
35.0ms	(+ (+ (* x y) (* z t)) (* a b))

series470.0ms

Counts

3 → 9

Calls

3 calls:

326.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
64.0ms	(+ (* x y) (* z t))
79.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify623.0ms

Counts: 47 → 47

prune247.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.7b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.7b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.7b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite279.0ms

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:

212.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
19.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
18.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
24.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series993.0ms

Counts

4 → 12

Calls

4 calls:

313.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
212.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
222.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
247.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify1.7s

Counts: 99 → 99

prune524.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.7b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.7b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.7b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite119.0ms

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:

20.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
33.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
32.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
33.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series839.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
222.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
183.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
189.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify835.0ms

Counts: 64 → 64

prune525.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
0.0b	(+ (* x y) (* z t))
0.3b	(pow (+ (* x y) (* z t)) 3)
34.1b	(cbrt (pow (+ (* x y) (* z t)) 3))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-log-exp`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sum-log` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 70

Calls

4 calls:

108.0ms	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
17.0ms	(+ (* x y) (* z t))
21.0ms	(pow (+ (* x y) (* z t)) 3)
18.0ms	(cbrt (pow (+ (* x y) (* z t)) 3))

series380.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
52.0ms	(+ (* x y) (* z t))
178.0ms	(pow (+ (* x y) (* z t)) 3)
51.0ms	(cbrt (pow (+ (* x y) (* z t)) 3))

simplify888.0ms

Counts: 82 → 82

prune335.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes754.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify63.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.6s

13654×

body

valid