Details

sample50.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
16.0ms	256×	pre	80	true

simplify122.0ms

Calls

1 calls:

Slowest

122.0ms

(* a (+ (+ b c) d))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 1 expressions with local error:

0.1b	(* a (+ (+ b c) d))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-r`
2×	`add-sqr-sqrt` `-un-lft-identity` `associate-r/` `add-cube-cbrt`
1×	`distribute-rgt-in` `expm1-log1p-u` `pow1` `distribute-lft-in` `flip3-+` `add-cbrt-cube` `add-exp-log` `*-commutative` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Calls

1 calls:

Slowest

10.0ms

(* a (+ (+ b c) d))

series29.0ms

Calls

1 calls:

Slowest

29.0ms

(* a (+ (+ b c) d))

simplify517.0ms

Calls

10 calls:

Slowest

253.0ms	(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
95.0ms	(+ (* a d) (+ (* a b) (* a c)))
83.0ms	(+ (* a d) (+ (* a b) (* a c)))
25.0ms	(sqrt (+ (+ b c) d))
21.0ms	(- (+ b c) d)

prune270.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ b c) a)
0.0b	(+ (* (+ b c) a) (* d a))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `flip3-+` `add-cbrt-cube` `associate-*l/` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `fma-def` `distribute-rgt-out` `*-commutative`

Calls

2 calls:

Slowest

10.0ms	(+ (* (+ b c) a) (* d a))
7.0ms	(* (+ b c) a)

series46.0ms

Calls

2 calls:

Slowest

30.0ms	(+ (* (+ b c) a) (* d a))
16.0ms	(* (+ b c) a)

simplify620.0ms

Calls

13 calls:

Slowest

216.0ms	(* (- (* b b) (* c c)) a)
153.0ms	(* (exp (* (+ b c) a)) (exp (* d a)))
82.0ms	(+ (* a d) (+ (* a b) (* a c)))
64.0ms	(+ (* a d) (+ (* a b) (* a c)))
51.0ms	(* (+ (pow b 3) (pow c 3)) a)

prune408.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (+ b c) a (* d a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Calls

1 calls:

Slowest

1.0ms

(fma (+ b c) a (* d a))

series29.0ms

Calls

1 calls:

Slowest

29.0ms

(fma (+ b c) a (* d a))

simplify186.0ms

Calls

3 calls:

Slowest

109.0ms	(+ (* a d) (+ (* a b) (* a c)))
75.0ms	(+ (* a d) (+ (* a b) (* a c)))
1.0ms	0

prune159.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ b c))
0.6b	(cbrt (+ b c))
0.6b	(cbrt (+ b c))
0.5b	(* (cbrt (+ b c)) (cbrt (+ b c)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
15×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`pow1` `flip3-+` `flip-+`
7×	`pow1/3`
6×	`associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Calls

4 calls:

Slowest

8.0ms	(* (cbrt (+ b c)) (cbrt (+ b c)))
4.0ms	(cbrt (+ b c))
1.0ms	(cbrt (+ b c))
1.0ms	(cbrt (+ b c))

series614.0ms

Calls

4 calls:

Slowest

173.0ms	(cbrt (+ b c))
152.0ms	(* (cbrt (+ b c)) (cbrt (+ b c)))
145.0ms	(cbrt (+ b c))
144.0ms	(cbrt (+ b c))

simplify3.5s

Calls

59 calls:

Slowest

781.0ms	(- (+ (* 1/3 (* b (pow (/ 1 (pow c 2)) 1/3))) (pow c 1/3)) (* 1/9 (* (pow b 2) (pow (/ 1 (pow c 5)) 1/3))))
426.0ms	(- (+ (* 2/3 (* b (pow (/ 1 c) 1/3))) (pow c 2/3)) (* 1/9 (* (pow b 2) (pow (/ 1 (pow c 4)) 1/3))))
380.0ms	(- (+ (* 1/3 (* b (pow (/ 1 (pow c 2)) 1/3))) (pow c 1/3)) (* 1/9 (* (pow b 2) (pow (/ 1 (pow c 5)) 1/3))))
327.0ms	(- (+ (* 1/3 (* b (pow (/ 1 (pow c 2)) 1/3))) (pow c 1/3)) (* 1/9 (* (pow b 2) (pow (/ 1 (pow c 5)) 1/3))))
164.0ms	(* (cbrt (- (* b b) (* c c))) (cbrt (+ (pow b 3) (pow c 3))))

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes251.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

537.0ms	8000×	pre	80	true
510.0ms	8000×	body	80	valid