Details

sample184.0ms

Algorithm

intervals

Results

141.0ms

588×

body

valid

simplify613.0ms

Counts: 1 → 1

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize60.0ms

Local error

Found 4 expressions with local error:

6.6b	(* (- (* z y) (* t a)) x)
4.2b	(fma (- (* t c) (* y i)) j (* (- (* z y) (* t a)) x))
3.6b	(* (- (* z c) (* i a)) b)
0.0b	(- (* z c) (* i a))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

Slowest

44.0ms	(* (- (* z y) (* t a)) x)
28.0ms	(* (- (* z c) (* i a)) b)
12.0ms	(- (* z c) (* i a))
0.0ms	(fma (- (* t c) (* y i)) j (* (- (* z y) (* t a)) x))

series487.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

284.0ms	(fma (- (* t c) (* y i)) j (* (- (* z y) (* t a)) x))
90.0ms	(* (- (* z y) (* t a)) x)
65.0ms	(* (- (* z c) (* i a)) b)
48.0ms	(- (* z c) (* i a))

simplify357.0ms

Counts: 89 → 86

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.2b

localize76.0ms

Local error

Found 4 expressions with local error:

6.6b	(* (- (* z y) (* t a)) x)
4.7b	(cbrt (- (* z c) (* i a)))
4.7b	(cbrt (- (* z c) (* i a)))
4.7b	(cbrt (- (* z c) (* i a)))

rewrite53.0ms

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

30.0ms	(* (- (* z y) (* t a)) x)
12.0ms	(cbrt (- (* z c) (* i a)))
5.0ms	(cbrt (- (* z c) (* i a)))
5.0ms	(cbrt (- (* z c) (* i a)))

series510.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

151.0ms	(cbrt (- (* z c) (* i a)))
133.0ms	(cbrt (- (* z c) (* i a)))
132.0ms	(cbrt (- (* z c) (* i a)))
94.0ms	(* (- (* z y) (* t a)) x)

simplify399.0ms

Counts: 95 → 83

prune1.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.2b

localize59.0ms

Local error

Found 4 expressions with local error:

6.6b	(* (- (* z y) (* t a)) x)
4.2b	(fma (- (* t c) (* y i)) j (* (- (* z y) (* t a)) x))
2.5b	(* (- (* z c) (* i a)) (* (cbrt b) (cbrt b)))
1.3b	(* (* (- (* z c) (* i a)) (* (cbrt b) (cbrt b))) (cbrt b))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

Slowest

97.0ms	(* (* (- (* z c) (* i a)) (* (cbrt b) (cbrt b))) (cbrt b))
38.0ms	(* (- (* z c) (* i a)) (* (cbrt b) (cbrt b)))
22.0ms	(* (- (* z y) (* t a)) x)
0.0ms	(fma (- (* t c) (* y i)) j (* (- (* z y) (* t a)) x))

series688.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

239.0ms	(fma (- (* t c) (* y i)) j (* (- (* z y) (* t a)) x))
231.0ms	(* (- (* z c) (* i a)) (* (cbrt b) (cbrt b)))
128.0ms	(* (* (- (* z c) (* i a)) (* (cbrt b) (cbrt b))) (cbrt b))
89.0ms	(* (- (* z y) (* t a)) x)

simplify568.0ms

Counts: 98 → 99

prune2.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.9b

localize102.0ms

Local error

Found 4 expressions with local error:

6.6b	(* (- (* z y) (* t a)) x)
4.7b	(cbrt (- (* z c) (* i a)))
4.7b	(cbrt (- (* z c) (* i a)))
4.7b	(cbrt (- (* z c) (* i a)))

rewrite58.0ms

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

30.0ms	(* (- (* z y) (* t a)) x)
10.0ms	(cbrt (- (* z c) (* i a)))
9.0ms	(cbrt (- (* z c) (* i a)))
8.0ms	(cbrt (- (* z c) (* i a)))

series527.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

149.0ms	(cbrt (- (* z c) (* i a)))
144.0ms	(cbrt (- (* z c) (* i a)))
127.0ms	(cbrt (- (* z c) (* i a)))
107.0ms	(* (- (* z y) (* t a)) x)

simplify389.0ms

Counts: 95 → 83

prune2.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.9b

regimes1.8s

Accuracy

38.1% (4.9b remaining)

Error of 8.7b against oracle of 3.7b and baseline of 11.7b

bsearch418.0ms

end0.0ms

sample6.8s

Algorithm

intervals

Results

5.0s

19199×

body

valid