Details

sample46.0ms

Algorithm

intervals

Results

21.0ms

271×

body

valid

simplify89.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.9b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.7b	(- (* b c) (* a d))
23.5b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

15.0ms	(+ (* c c) (* d d))
15.0ms	(- (* b c) (* a d))
64.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series277.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (* c c) (* d d))
71.0ms	(- (* b c) (* a d))
163.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify529.0ms

Counts: 64 → 64

prune228.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 23.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b	(- (* b c) (* a d))
14.3b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
26.2b	(sqrt (+ (* c c) (* d d)))
26.2b	(sqrt (+ (* c c) (* d d)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

9.0ms	(- (* b c) (* a d))
45.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
16.0ms	(sqrt (+ (* c c) (* d d)))
9.0ms	(sqrt (+ (* c c) (* d d)))

series317.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* b c) (* a d))
164.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
54.0ms	(sqrt (+ (* c c) (* d d)))
49.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.6s

Counts: 98 → 98

prune408.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 20.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.7b	(- (* b c) (* a d))
0.9b	(/ 1 (+ (* c c) (* d d)))
23.1b	(* (- (* b c) (* a d)) (/ 1 (+ (* c c) (* d d))))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`flip3--` `flip3-+` `associate-l` `associate-/r` `flip--` `flip-+` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`+-commutative` `sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 98

Calls

4 calls:

10.0ms	(+ (* c c) (* d d))
15.0ms	(- (* b c) (* a d))
20.0ms	(/ 1 (+ (* c c) (* d d)))
83.0ms	(* (- (* b c) (* a d)) (/ 1 (+ (* c c) (* d d))))

series262.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* c c) (* d d))
61.0ms	(- (* b c) (* a d))
39.0ms	(/ 1 (+ (* c c) (* d d)))
124.0ms	(* (- (* b c) (* a d)) (/ 1 (+ (* c c) (* d d))))

simplify764.0ms

Counts: 110 → 110

prune342.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 20.7b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.7b	(- (* b c) (* a d))
23.5b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

8.0ms	(+ (* c c) (* d d))
8.0ms	(- (* b c) (* a d))
40.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series205.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (* c c) (* d d))
47.0ms	(- (* b c) (* a d))
121.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify505.0ms

Counts: 64 → 64

prune207.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 20.7b

regimes230.0ms

Accuracy

21.2% (2.3b remaining)

Error of 25.2b against oracle of 22.9b and baseline of 25.8b

bsearch2.0ms

simplify139.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

930.0ms

8435×

body

valid