Details

sample29.0ms

Algorithm

intervals

Results

20.0ms

269×

body

valid

simplify73.0ms

Calls

1 calls:

Slowest

73.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.0b

localize18.0ms

Local error

Found 3 expressions with local error:

24.0b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
1.2b	(- (* b c) (* a d))
0.0b	(+ (* c c) (* d d))

rewrite28.0ms

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`
3×	`pow1` `associate-/r` `insert-posit16` `associate-/l`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Calls

3 calls:

Slowest

13.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
10.0ms	(- (* b c) (* a d))
5.0ms	(+ (* c c) (* d d))

series105.0ms

Calls

3 calls:

Slowest

52.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
30.0ms	(- (* b c) (* a d))
22.0ms	(+ (* c c) (* d d))

simplify2.2s

Calls

41 calls:

Slowest

305.0ms	(- (* (* b c) (* b c)) (* (* a d) (* a d)))
303.0ms	(- (pow (* b c) 3) (pow (* a d) 3))
244.0ms	(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
180.0ms	(/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
109.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))

prune674.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 23.6b

localize9.0ms

Local error

Found 4 expressions with local error:

23.9b	(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))
1.2b	(- (* b c) (* a d))
0.3b	(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
0.0b	(+ (* c c) (* d d))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

20.0ms	(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))
6.0ms	(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
4.0ms	(+ (* c c) (* d d))
4.0ms	(- (* b c) (* a d))

series208.0ms

Calls

4 calls:

Slowest

89.0ms	(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
62.0ms	(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))
43.0ms	(- (* b c) (* a d))
14.0ms	(+ (* c c) (* d d))

simplify2.1s

Calls

60 calls:

Slowest

187.0ms	(+ (* (* b c) (* b c)) (+ (* (* a d) (* a d)) (* (* b c) (* a d))))
182.0ms	(+ (* (* b c) (* b c)) (+ (* (* a d) (* a d)) (* (* b c) (* a d))))
177.0ms	(- (* (* c c) (* c c)) (* (* d d) (* d d)))
168.0ms	(/ (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))) (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))))
62.0ms	(/ (exp (* b c)) (exp (* a d)))

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 23.6b

localize16.0ms

Local error

Found 4 expressions with local error:

29.0b	(sqrt (+ (* c c) (* d d)))
29.0b	(sqrt (+ (* c c) (* d d)))
16.2b	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
1.2b	(- (* b c) (* a d))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

13.0ms	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
4.0ms	(- (* b c) (* a d))
2.0ms	(sqrt (+ (* c c) (* d d)))
2.0ms	(sqrt (+ (* c c) (* d d)))

series135.0ms

Calls

4 calls:

Slowest

56.0ms	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
29.0ms	(sqrt (+ (* c c) (* d d)))
28.0ms	(- (* b c) (* a d))
22.0ms	(sqrt (+ (* c c) (* d d)))

simplify2.7s

Calls

75 calls:

Slowest

228.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
203.0ms	(+ (* (* b c) (* b c)) (+ (* (* a d) (* a d)) (* (* b c) (* a d))))
203.0ms	(/ (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))))
181.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
152.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))

prune1.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 23.6b

localize5.0ms

Local error

Found 4 expressions with local error:

24.3b	(* (/ 1 (+ (* c c) (* d d))) (- (* b c) (* a d)))
1.2b	(- (* b c) (* a d))
0.2b	(/ 1 (+ (* c c) (* d d)))
0.0b	(+ (* c c) (* d d))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

9.0ms	(* (/ 1 (+ (* c c) (* d d))) (- (* b c) (* a d)))
2.0ms	(+ (* c c) (* d d))
2.0ms	(- (* b c) (* a d))
2.0ms	(/ 1 (+ (* c c) (* d d)))

series157.0ms

Calls

4 calls:

Slowest

94.0ms	(* (/ 1 (+ (* c c) (* d d))) (- (* b c) (* a d)))
31.0ms	(- (* b c) (* a d))
17.0ms	(/ 1 (+ (* c c) (* d d)))
14.0ms	(+ (* c c) (* d d))

simplify2.8s

Calls

42 calls:

Slowest

239.0ms	(* 1 (- (* (* b c) (* b c)) (* (* a d) (* a d))))
228.0ms	(* (/ 1 (+ (* c c) (* d d))) (- (* a d)))
211.0ms	(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
209.0ms	(* (+ (* c c) (* d d)) (+ (* b c) (* a d)))
184.0ms	(* (/ 1 (+ (* c c) (* d d))) (- (* a d)))

prune850.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 23.6b

regimes528.0ms

Accuracy

0% (0.4b remaining)

Error of 26.0b against oracle of 25.6b and baseline of 26.0b

bsearch2.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.4s

8503×

body

valid