Details

sample52.0ms

Algorithm

intervals

Results

39.0ms

277×

body

valid

simplify8.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

8.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.3b

localize34.0ms

Local error

Found 3 expressions with local error:

22.3b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
0.5b	(+ (* a c) (* b d))
0.0b	(+ (* c c) (* d d))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

Slowest

52.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
19.0ms	(+ (* c c) (* d d))
14.0ms	(+ (* a c) (* b d))

series187.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

106.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
52.0ms	(+ (* a c) (* b d))
29.0ms	(+ (* c c) (* d d))

simplify2.1s

Counts

40 → 65

Calls

40 calls:

Slowest

354.0ms	(- (* (* a c) (* a c)) (* (* b d) (* b d)))
330.0ms	(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
258.0ms	(/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
233.0ms	(* (exp (* a c)) (exp (* b d)))
205.0ms	(+ (pow (* a c) 3) (pow (* b d) 3))

prune696.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 21.9b

localize36.0ms

Local error

Found 4 expressions with local error:

27.9b	(sqrt (+ (* c c) (* d d)))
27.9b	(sqrt (+ (* c c) (* d d)))
13.5b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
0.5b	(+ (* a c) (* b d))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `associate-/r*` `add-cbrt-cube` `sqrt-div` `add-exp-log` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`insert-posit16`
3×	`associate-/l*`
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`

Counts

4 → 88

Calls

4 calls:

Slowest

26.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
7.0ms	(+ (* a c) (* b d))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

155.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
61.0ms	(sqrt (+ (* c c) (* d d)))
53.0ms	(sqrt (+ (* c c) (* d d)))
49.0ms	(+ (* a c) (* b d))

simplify3.4s

Counts

77 → 100

Calls

77 calls:

Slowest

368.0ms	(- (* (* a c) (* a c)) (* (* b d) (* b d)))
315.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
307.0ms	(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
284.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
264.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 20.5b

localize37.0ms

Local error

Found 4 expressions with local error:

27.9b	(sqrt (+ (* c c) (* d d)))
27.9b	(sqrt (+ (* c c) (* d d)))
13.6b	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
0.5b	(+ (* a c) (* b d))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-cbrt-cube` `sqrt-div` `add-exp-log` `associate-/l*` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`insert-posit16`
3×	`associate-/r*`
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`

Counts

4 → 88

Calls

4 calls:

Slowest

31.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
12.0ms	(sqrt (+ (* c c) (* d d)))
12.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(+ (* a c) (* b d))

series229.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

93.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
51.0ms	(sqrt (+ (* c c) (* d d)))
44.0ms	(+ (* a c) (* b d))
40.0ms	(sqrt (+ (* c c) (* d d)))

simplify3.1s

Counts

77 → 100

Calls

77 calls:

Slowest

305.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
300.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
273.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
265.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
243.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))

prune1.4s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 20.5b

localize83.0ms

Local error

Found 4 expressions with local error:

27.9b	(sqrt (+ (* c c) (* d d)))
27.9b	(sqrt (+ (* c c) (* d d)))
14.1b	(cbrt (+ (* a c) (* b d)))
14.1b	(cbrt (+ (* a c) (* b d)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `pow1` `sqrt-prod`
4×	`cbrt-div` `flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 60

Calls

4 calls:

Slowest

12.0ms	(sqrt (+ (* c c) (* d d)))
12.0ms	(sqrt (+ (* c c) (* d d)))
8.0ms	(cbrt (+ (* a c) (* b d)))
8.0ms	(cbrt (+ (* a c) (* b d)))

series361.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

135.0ms	(cbrt (+ (* a c) (* b d)))
123.0ms	(cbrt (+ (* a c) (* b d)))
56.0ms	(sqrt (+ (* c c) (* d d)))
46.0ms	(sqrt (+ (* c c) (* d d)))

simplify3.9s

Counts

36 → 72

Calls

36 calls:

Slowest

401.0ms	(cbrt (- (* (* a c) (* a c)) (* (* b d) (* b d))))
334.0ms	(cbrt (- (* (* a c) (* a c)) (* (* b d) (* b d))))
332.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
308.0ms	(exp (* -1/3 (+ (log (/ -1 c)) (log (/ -1 a)))))
272.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))

prune1.2s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 20.5b

regimes444.0ms

Accuracy

0% (2.6b remaining)

Error of 25.2b against oracle of 22.6b and baseline of 25.2b

bsearch2.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.6s

8463×

body

valid