Details

sample45.0ms

Algorithm

intervals

Results

33.0ms

269×

body

valid

simplify8.0ms

Calls

1 calls:

Slowest

8.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.6b

localize31.0ms

Local error

Found 3 expressions with local error:

27.6b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
0.3b	(+ (* a c) (* b d))
0.0b	(+ (* c c) (* d d))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

208×	`*-un-lft-identity`
85×	`distribute-lft-out`
76×	`associate-l`
56×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`swap-sqr`
8×	`associate-/r*`
7×	`associate-/l*` `add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
4×	`flip3-+` `flip-+`
3×	`pow1` `insert-posit16`
2×	`+-commutative` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Calls

3 calls:

Slowest

119.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
25.0ms	(+ (* a c) (* b d))
21.0ms	(+ (* c c) (* d d))

series213.0ms

Calls

3 calls:

Slowest

117.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
57.0ms	(+ (* a c) (* b d))
39.0ms	(+ (* c c) (* d d))

simplify3.7s

Calls

149 calls:

Slowest

428.0ms	(- (* (* a c) (* a c)) (* (* b d) (* b d)))
351.0ms	(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
329.0ms	(/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
245.0ms	(* (exp (* a c)) (exp (* b d)))
221.0ms	(+ (pow (* a c) 3) (pow (* b d) 3))

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 27.1b

localize54.0ms

Local error

Found 4 expressions with local error:

30.8b	(sqrt (+ (* c c) (* d d)))
30.8b	(sqrt (+ (* c c) (* d d)))
17.7b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
0.3b	(+ (* a c) (* b d))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

258×	`*-un-lft-identity`
102×	`distribute-lft-out`
92×	`associate-l`
80×	`sqrt-prod`
77×	`times-frac`
36×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
20×	`swap-sqr`
11×	`associate-/r*`
7×	`associate-/l*`
6×	`pow1` `add-cbrt-cube` `sqrt-div` `add-exp-log` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`insert-posit16`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Calls

4 calls:

Slowest

76.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
44.0ms	(sqrt (+ (* c c) (* d d)))
32.0ms	(+ (* a c) (* b d))
25.0ms	(sqrt (+ (* c c) (* d d)))

series276.0ms

Calls

4 calls:

Slowest

128.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
60.0ms	(+ (* a c) (* b d))
46.0ms	(sqrt (+ (* c c) (* d d)))
41.0ms	(sqrt (+ (* c c) (* d d)))

simplify5.8s

Calls

214 calls:

Slowest

405.0ms	(- (* (* a c) (* a c)) (* (* b d) (* b d)))
341.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
323.0ms	(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
299.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
282.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))

prune2.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 25.0b

localize56.0ms

Local error

Found 4 expressions with local error:

30.8b	(sqrt (+ (* c c) (* d d)))
30.8b	(sqrt (+ (* c c) (* d d)))
17.8b	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
0.3b	(+ (* a c) (* b d))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

258×	`*-un-lft-identity`
102×	`distribute-lft-out`
92×	`associate-l`
80×	`sqrt-prod`
77×	`times-frac`
36×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
20×	`swap-sqr`
11×	`associate-/l*`
7×	`associate-/r*`
6×	`pow1` `add-cbrt-cube` `sqrt-div` `add-exp-log` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`insert-posit16`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Calls

4 calls:

Slowest

79.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
52.0ms	(sqrt (+ (* c c) (* d d)))
46.0ms	(sqrt (+ (* c c) (* d d)))
19.0ms	(+ (* a c) (* b d))

series272.0ms

Calls

4 calls:

Slowest

113.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
61.0ms	(+ (* a c) (* b d))
50.0ms	(sqrt (+ (* c c) (* d d)))
48.0ms	(sqrt (+ (* c c) (* d d)))

simplify5.3s

Calls

218 calls:

Slowest

341.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
340.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
311.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
269.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
240.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))

prune2.3s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 25.0b

localize37.0ms

Local error

Found 4 expressions with local error:

30.8b	(sqrt (+ (* c c) (* d d)))
30.8b	(sqrt (+ (* c c) (* d d)))
17.7b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
0.3b	(+ (* a c) (* b d))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

258×	`*-un-lft-identity`
102×	`distribute-lft-out`
92×	`associate-l`
80×	`sqrt-prod`
77×	`times-frac`
36×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
20×	`swap-sqr`
11×	`associate-/r*`
7×	`associate-/l*`
6×	`pow1` `add-cbrt-cube` `sqrt-div` `add-exp-log` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`insert-posit16`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Calls

4 calls:

Slowest

145.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
40.0ms	(sqrt (+ (* c c) (* d d)))
36.0ms	(+ (* a c) (* b d))
26.0ms	(sqrt (+ (* c c) (* d d)))

series309.0ms

Calls

4 calls:

Slowest

146.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
67.0ms	(sqrt (+ (* c c) (* d d)))
51.0ms	(sqrt (+ (* c c) (* d d)))
44.0ms	(+ (* a c) (* b d))

simplify5.7s

Calls

214 calls:

Slowest

337.0ms	(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
335.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
322.0ms	(- (* (* a c) (* a c)) (* (* b d) (* b d)))
303.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
279.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))

prune2.0s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 25.0b

regimes538.0ms

Accuracy

0% (2.5b remaining)

Error of 26.0b against oracle of 23.6b and baseline of 26.0b

bsearch5.0ms

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.6s

8413×

body

valid