Details

sample162.0ms

Algorithm

intervals

Results

136.0ms

673×

body

valid

simplify219.0ms

Calls

1 calls:

Slowest

218.0ms

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

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize62.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (+ (* a a) (* b b)) 2)
0.2b	(* (* b b) (+ 3 a))
0.1b	(* (* a a) (- 1 a))
0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
8×	`add-cbrt-cube`
7×	`fma-def`
6×	`unpow-prod-down` `associate-r` `add-log-exp`
4×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `associate-*r/` `insert-posit16` `log1p-expm1-u`
2×	`associate-+r+` `sub-neg` `flip3-+` `associate-l` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unpow2`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `flip3--` `pow-exp` `flip--`

Calls

4 calls:

Slowest

22.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
5.0ms	(* (* a a) (- 1 a))
4.0ms	(* (* b b) (+ 3 a))
3.0ms	(pow (+ (* a a) (* b b)) 2)

series342.0ms

Calls

4 calls:

Slowest

148.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
91.0ms	(* (* a a) (- 1 a))
54.0ms	(pow (+ (* a a) (* b b)) 2)
48.0ms	(* (* b b) (+ 3 a))

simplify4.0s

Calls

48 calls:

Slowest

472.0ms	(* (* (* (* a a) (* a a)) (* a a)) (* (* (- 1 a) (- 1 a)) (- 1 a)))
365.0ms	(* 4 (* (* b b) (+ 3 a)))
330.0ms	(- (+ (* 4 (pow a 2)) (* 12 (pow b 2))) (* 4 (pow a 3)))
326.0ms	(* (* (* b b) (+ 3 a)) 4)
212.0ms	(* (* (* (* b b) (* b b)) (* b b)) (* (* (+ 3 a) (+ 3 a)) (+ 3 a)))

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* b b) (+ 3 a))
0.2b	(* (* a b) (* a b))
0.1b	(* (* a a) (- 1 a))
0.0b	(fma 2 (* (* a b) (* a b)) (pow b 4))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1`
10×	`add-cbrt-cube` `add-exp-log`
7×	`associate-r`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
2×	`sub-neg`
1×	`pow2` `flip3-+` `pow-plus` `flip3--` `pow-prod-up` `flip-+` `fma-udef` `flip--`

Calls

4 calls:

Slowest

9.0ms	(* (* a b) (* a b))
5.0ms	(* (* a a) (- 1 a))
4.0ms	(* (* b b) (+ 3 a))
0.0ms	(fma 2 (* (* a b) (* a b)) (pow b 4))

series249.0ms

Calls

4 calls:

Slowest

92.0ms	(fma 2 (* (* a b) (* a b)) (pow b 4))
83.0ms	(* (* a a) (- 1 a))
37.0ms	(* (* b b) (+ 3 a))
37.0ms	(* (* a b) (* a b))

simplify2.0s

Calls

40 calls:

Slowest

498.0ms	(* (* (* (* a a) (* a a)) (* a a)) (* (* (- 1 a) (- 1 a)) (- 1 a)))
276.0ms	(* (* (* (* b b) (* b b)) (* b b)) (* (* (+ 3 a) (+ 3 a)) (+ 3 a)))
235.0ms	(* (* (* (* a b) (* a b)) (* a b)) (* (* (* a b) (* a b)) (* a b)))
135.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
116.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (+ (* a a) (* b b)) 2)
0.2b	(* (* b b) (+ 3 a))
0.1b	(* a (* a a))
0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (- (* a a) (* a (* a a))) (* (* b b) (+ 3 a)))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`pow1` `fma-def` `add-exp-log`
6×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-r/` `-commutative` `flip-+` `unpow2`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `cube-unmult` `associate-l` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod`

Calls

4 calls:

Slowest

32.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (- (* a a) (* a (* a a))) (* (* b b) (+ 3 a)))))
4.0ms	(* (* b b) (+ 3 a))
3.0ms	(pow (+ (* a a) (* b b)) 2)
1.0ms	(* a (* a a))

series277.0ms

Calls

4 calls:

Slowest

142.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (- (* a a) (* a (* a a))) (* (* b b) (+ 3 a)))))
55.0ms	(pow (+ (* a a) (* b b)) 2)
40.0ms	(* (* b b) (+ 3 a))
39.0ms	(* a (* a a))

simplify2.6s

Calls

36 calls:

Slowest

323.0ms	(- (+ (* 4 (pow a 2)) (* 12 (pow b 2))) (* 4 (pow a 3)))
286.0ms	(* (* (* b b) (+ 3 a)) 4)
278.0ms	(* 4 (* (* b b) (+ 3 a)))
172.0ms	(* (* (* (* b b) (* b b)) (* b b)) (* (* (+ 3 a) (+ 3 a)) (+ 3 a)))
165.0ms	(* (exp (pow (+ (* a a) (* b b)) 2)) (exp (* 4 (+ (- (* a a) (* a (* a a))) (* (* b b) (+ 3 a))))))

prune916.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

19.2b	(cbrt (pow (+ (* a a) (* b b)) 2))
19.2b	(cbrt (pow (+ (* a a) (* b b)) 2))
19.2b	(cbrt (pow (+ (* a a) (* b b)) 2))
0.4b	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

35×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
15×	`unpow-prod-down`
10×	`associate-r` `associate-l`
9×	`pow1`
7×	`pow1/3`
6×	`add-exp-log`
5×	`unpow2`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Calls

4 calls:

Slowest

16.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series499.0ms

Calls

4 calls:

Slowest

131.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
128.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
127.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
113.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify4.3s

Calls

61 calls:

Slowest

473.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
167.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
154.0ms	(cbrt (* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2))))
150.0ms	(cbrt (cbrt (pow (+ (* a a) (* b b)) 2)))
149.0ms	(sqrt (cbrt (pow (+ (* a a) (* b b)) 2)))

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes165.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

3.7s

20547×

body

valid