Details

sample61.0ms

Algorithm

intervals

Results

43.0ms

278×

body

valid

simplify15.0ms

Calls

1 calls:

Slowest

15.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize19.0ms

Local error

Found 2 expressions with local error:

28.1b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
0.5b	(+ (* a c) (* b d))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r` `flip3-+` `flip-+` `associate-/l`
2×	`pow1` `associate-/r/` `insert-posit16` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Calls

2 calls:

Slowest

26.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
3.0ms	(+ (* a c) (* b d))

series144.0ms

Calls

2 calls:

Slowest

91.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
52.0ms	(+ (* a c) (* b d))

simplify1.5s

Calls

36 calls:

Slowest

347.0ms	(- (* (* a c) (* a c)) (* (* b d) (* b d)))
276.0ms	(/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
265.0ms	(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
171.0ms	(+ (pow (* a c) 3) (pow (* b d) 3))
59.0ms	(/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))

prune543.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 27.6b

localize9.0ms

Local error

Found 4 expressions with local error:

32.0b	(sqrt (+ (* c c) (* d d)))
32.0b	(sqrt (+ (* c c) (* d d)))
15.0b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
0.5b	(+ (* a c) (* b d))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`associate-/r*` `add-cbrt-cube` `sqrt-div` `add-exp-log` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`pow1` `insert-posit16`
3×	`associate-/l*`
2×	`rem-sqrt-square` `pow1/2` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Calls

4 calls:

Slowest

13.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
4.0ms	(+ (* a c) (* b d))
3.0ms	(sqrt (+ (* c c) (* d d)))
3.0ms	(sqrt (+ (* c c) (* d d)))

series306.0ms

Calls

4 calls:

Slowest

134.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
66.0ms	(sqrt (+ (* c c) (* d d)))
59.0ms	(sqrt (+ (* c c) (* d d)))
47.0ms	(+ (* a c) (* b d))

simplify2.6s

Calls

75 calls:

Slowest

322.0ms	(- (* (* a c) (* a c)) (* (* b d) (* b d)))
242.0ms	(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
206.0ms	(+ (pow (* a c) 3) (pow (* b d) 3))
203.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
190.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))

prune1.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 26.2b

localize12.0ms

Local error

Found 3 expressions with local error:

28.3b	(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))
0.5b	(+ (* a c) (* b d))
0.4b	(/ 1 (+ (* c c) (* d d)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-exp-log`
6×	`add-sqr-sqrt` `pow1` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
5×	`flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
4×	`associate-/r/`
3×	`associate-/r` `associate-l*` `insert-posit16`
2×	`frac-times` `rec-exp` `associate-*l/` `prod-exp` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `cbrt-unprod` `pow-flip` `inv-pow`

Calls

3 calls:

Slowest

15.0ms	(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))
3.0ms	(+ (* a c) (* b d))
2.0ms	(/ 1 (+ (* c c) (* d d)))

series189.0ms

Calls

3 calls:

Slowest

94.0ms	(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))
52.0ms	(/ 1 (+ (* c c) (* d d)))
42.0ms	(+ (* a c) (* b d))

simplify2.3s

Calls

36 calls:

Slowest

326.0ms	(* (+ (pow (* a c) 3) (pow (* b d) 3)) 1)
256.0ms	(* (- (* (* a c) (* a c)) (* (* b d) (* b d))) (/ 1 (+ (* c c) (* d d))))
255.0ms	(* (- (* (* a c) (* a c)) (* (* b d) (* b d))) 1)
232.0ms	(* (+ (pow (* a c) 3) (pow (* b d) 3)) (/ 1 (+ (* c c) (* d d))))
198.0ms	(* (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (/ 1 (+ (* c c) (* d d))) (/ 1 (+ (* c c) (* d d)))) (/ 1 (+ (* c c) (* d d)))))

prune683.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 26.2b

localize19.0ms

Local error

Found 4 expressions with local error:

32.0b	(sqrt (+ (* c c) (* d d)))
32.0b	(sqrt (+ (* c c) (* d d)))
32.0b	(sqrt (+ (* c c) (* d d)))
32.0b	(sqrt (+ (* c c) (* d d)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
4×	`pow1` `rem-sqrt-square` `flip3-+` `add-cbrt-cube` `pow1/2` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`

Calls

4 calls:

Slowest

4.0ms	(sqrt (+ (* c c) (* d d)))
4.0ms	(sqrt (+ (* c c) (* d d)))
4.0ms	(sqrt (+ (* c c) (* d d)))
4.0ms	(sqrt (+ (* c c) (* d d)))

series205.0ms

Calls

4 calls:

Slowest

60.0ms	(sqrt (+ (* c c) (* d d)))
53.0ms	(sqrt (+ (* c c) (* d d)))
51.0ms	(sqrt (+ (* c c) (* d d)))
41.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.0s

Calls

36 calls:

Slowest

192.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
157.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
152.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
142.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
69.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))

prune1.0s

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 26.2b

regimes486.0ms

Accuracy

0% (2.4b remaining)

Error of 25.5b against oracle of 23.1b and baseline of 25.5b

bsearch2.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.3s

8476×

body

valid