Details

sample180.0ms

Algorithm

intervals

Results

136.0ms

634×

body

valid

simplify1.1s

Counts: 1 → 1

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize59.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (- (* z y) (* t a)) x)
4.6b	(fma (- (* i a) (* z c)) b (fma (- (* t c) (* y i)) j (* (- (* z y) (* t a)) x)))
2.7b	(fma (- (* t c) (* y i)) j (* (- (* z y) (* t a)) x))
0.2b	(- (* i a) (* z c))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-r` `associate-l`
2×	`flip3--` `associate-*l/` `fma-udef` `flip--`
1×	`sub-neg` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

Slowest

28.0ms	(* (- (* z y) (* t a)) x)
19.0ms	(- (* i a) (* z c))
0.0ms	(fma (- (* i a) (* z c)) b (fma (- (* t c) (* y i)) j (* (- (* z y) (* t a)) x)))
0.0ms	(fma (- (* t c) (* y i)) j (* (- (* z y) (* t a)) x))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

691.0ms	(fma (- (* i a) (* z c)) b (fma (- (* t c) (* y i)) j (* (- (* z y) (* t a)) x)))
304.0ms	(fma (- (* t c) (* y i)) j (* (- (* z y) (* t a)) x))
91.0ms	(* (- (* z y) (* t a)) x)
52.0ms	(- (* i a) (* z c))

simplify1.1s

Counts: 74 → 74

prune1.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.1b

localize68.0ms

Local error

Found 4 expressions with local error:

7.8b	(cbrt (- (* i a) (* z c)))
7.8b	(cbrt (- (* i a) (* z c)))
7.8b	(cbrt (- (* i a) (* z c)))
5.2b	(* (- (* z y) (* t a)) x)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `cbrt-div` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`associate-*l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

Slowest

42.0ms	(* (- (* z y) (* t a)) x)
8.0ms	(cbrt (- (* i a) (* z c)))
6.0ms	(cbrt (- (* i a) (* z c)))
5.0ms	(cbrt (- (* i a) (* z c)))

series559.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

189.0ms	(cbrt (- (* i a) (* z c)))
147.0ms	(cbrt (- (* i a) (* z c)))
139.0ms	(cbrt (- (* i a) (* z c)))
84.0ms	(* (- (* z y) (* t a)) x)

simplify1.1s

Counts: 83 → 83

prune1.8s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.1b

localize97.0ms

Local error

Found 4 expressions with local error:

7.8b	(cbrt (- (* i a) (* z c)))
7.8b	(cbrt (- (* i a) (* z c)))
7.8b	(cbrt (- (* i a) (* z c)))
4.6b	(fma (* (* (cbrt (- (* i a) (* z c))) (cbrt (- (* i a) (* z c)))) (cbrt (- (* i a) (* z c)))) b (fma (- (* t c) (* y i)) j (* (* (- (* z y) (* t a)) (* (cbrt x) (cbrt x))) (cbrt x))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--`
1×	`fma-udef`

Counts

4 → 59

Calls

4 calls:

Slowest

9.0ms	(cbrt (- (* i a) (* z c)))
8.0ms	(cbrt (- (* i a) (* z c)))
8.0ms	(cbrt (- (* i a) (* z c)))
0.0ms	(fma (* (* (cbrt (- (* i a) (* z c))) (cbrt (- (* i a) (* z c)))) (cbrt (- (* i a) (* z c)))) b (fma (- (* t c) (* y i)) j (* (* (- (* z y) (* t a)) (* (cbrt x) (cbrt x))) (cbrt x))))

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

807.0ms	(fma (* (* (cbrt (- (* i a) (* z c))) (cbrt (- (* i a) (* z c)))) (cbrt (- (* i a) (* z c)))) b (fma (- (* t c) (* y i)) j (* (* (- (* z y) (* t a)) (* (cbrt x) (cbrt x))) (cbrt x))))
185.0ms	(cbrt (- (* i a) (* z c)))
147.0ms	(cbrt (- (* i a) (* z c)))
144.0ms	(cbrt (- (* i a) (* z c)))

simplify704.0ms

Counts: 71 → 71

prune1.4s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 6.1b

localize54.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (- (* z y) (* t a)) x)
5.2b	(* (- (* z y) (* t a)) x)
5.2b	(* (- (* z y) (* t a)) x)
4.6b	(fma (- (* i a) (* z c)) b (fma (- (* t c) (* y i)) j (* (- (* z y) (* t a)) x)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`associate-r` `associate-l`
6×	`associate-*l/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`fma-udef`

Counts

4 → 80

Calls

4 calls:

Slowest

29.0ms	(* (- (* z y) (* t a)) x)
28.0ms	(* (- (* z y) (* t a)) x)
22.0ms	(* (- (* z y) (* t a)) x)
0.0ms	(fma (- (* i a) (* z c)) b (fma (- (* t c) (* y i)) j (* (- (* z y) (* t a)) x)))

series981.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

692.0ms	(fma (- (* i a) (* z c)) b (fma (- (* t c) (* y i)) j (* (- (* z y) (* t a)) x)))
99.0ms	(* (- (* z y) (* t a)) x)
98.0ms	(* (- (* z y) (* t a)) x)
93.0ms	(* (- (* z y) (* t a)) x)

simplify755.0ms

Counts: 92 → 92

prune2.3s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 6.1b

regimes2.3s

Accuracy

0.3% (5.1b remaining)

Error of 12.5b against oracle of 7.4b and baseline of 12.5b

bsearch459.0ms

end0.0ms

sample7.1s

Algorithm

intervals

Results

5.7s

18963×

body

valid