Details

sample111.0ms

Algorithm

intervals

Results

92.0ms

630×

body

valid

simplify840.0ms

Counts: 1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (* b b) (+ 3 a))
0.3b	(pow (+ (* a a) (* b b)) 2)
0.0b	(* (* a a) (- 1 a))
0.0b	(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`prod-diff` `associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
13×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`expm1-log1p-u` `flip3-+` `frac-add` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down` `flip3--` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg` `difference-of-squares`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `distribute-lft-out--` `unpow2` `sqr-pow`

Counts

4 → 126

Calls

4 calls:

Slowest

100.0ms	(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
53.0ms	(* (* a a) (- 1 a))
39.0ms	(* (* b b) (+ 3 a))
16.0ms	(pow (+ (* a a) (* b b)) 2)

series273.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

73.0ms	(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
72.0ms	(* (* a a) (- 1 a))
68.0ms	(pow (+ (* a a) (* b b)) 2)
59.0ms	(* (* b b) (+ 3 a))

simplify432.0ms

Counts: 167 → 138

prune1.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

20.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
20.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
20.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
0.8b	(* (* b b) (+ 3 a))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`pow1` `unpow-prod-down` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `unpow2` `sqr-pow`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

Slowest

22.0ms	(* (* b b) (+ 3 a))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series484.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

153.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
153.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
120.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
58.0ms	(* (* b b) (+ 3 a))

simplify290.0ms

Counts: 119 → 96

prune1.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize96.0ms

Local error

Found 4 expressions with local error:

20.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
20.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
10.4b	(cbrt (+ (* a a) (* b b)))
10.4b	(cbrt (+ (* a a) (* b b)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`unpow-prod-down`
4×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `flip-+` `unpow2` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

Slowest

11.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
4.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))

series543.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

160.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
133.0ms	(cbrt (+ (* a a) (* b b)))
126.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
124.0ms	(cbrt (+ (* a a) (* b b)))

simplify416.0ms

Counts: 104 → 82

prune1.5s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize107.0ms

Local error

Found 4 expressions with local error:

20.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
20.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
10.4b	(cbrt (* (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) (cbrt (+ (* a a) (* b b)))))
10.4b	(cbrt (+ (* a a) (* b b)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

82×	`cbrt-div`
28×	`frac-times` `flip3-+` `flip-+`
20×	`cbrt-prod`
14×	`associate-*l/`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`associate-*r/`
6×	`unpow-prod-down`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`unpow2` `sqr-pow`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 93

Calls

4 calls:

Slowest

79.0ms	(cbrt (* (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) (cbrt (+ (* a a) (* b b)))))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
8.0ms	(cbrt (+ (* a a) (* b b)))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series525.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

147.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
138.0ms	(cbrt (* (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) (cbrt (+ (* a a) (* b b)))))
122.0ms	(cbrt (+ (* a a) (* b b)))
118.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify452.0ms

Counts: 148 → 105

prune2.0s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes448.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch4.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

3.8s

20659×

body

valid