Details

sample64.0ms

Algorithm

intervals

Results

43.0ms

277×

body

valid

simplify71.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	70
5	70
4	66
3	48
2	36
1	19
0	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize27.0ms

Local error

Found 2 expressions with local error:

0.7b	(- (* b c) (* a d))
29.1b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite36.0ms

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

Counts

2 → 46

Calls

2 calls:

10.0ms	(- (* b c) (* a d))
26.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series194.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(- (* b c) (* a d))
135.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify796.0ms

Counts

52 → 52

Iterations

Iter	Nodes
3	2825
2	840
1	255
0	88

prune462.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 28.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.7b	(- (* b c) (* a d))
18.3b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
33.9b	(sqrt (+ (* c c) (* d d)))
33.9b	(sqrt (+ (* c c) (* d d)))

rewrite60.0ms

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

Counts

4 → 90

Calls

4 calls:

7.0ms	(- (* b c) (* a d))
22.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
13.0ms	(sqrt (+ (* c c) (* d d)))
17.0ms	(sqrt (+ (* c c) (* d d)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* b c) (* a d))
147.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
43.0ms	(sqrt (+ (* c c) (* d d)))
49.0ms	(sqrt (+ (* c c) (* d d)))

simplify746.0ms

Counts

102 → 102

Iterations

Iter	Nodes
3	2495
2	890
1	310
0	121

prune846.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 26.2b

localize55.0ms

Local error

Found 4 expressions with local error:

0.7b	(- (* b c) (* a d))
18.4b	(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
33.9b	(sqrt (+ (* c c) (* d d)))
33.9b	(sqrt (+ (* c c) (* d d)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`associate-r`
22×	`*-un-lft-identity` `times-frac`
20×	`add-cube-cbrt`
17×	`sqrt-prod`
13×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow1`
6×	`sqrt-div` `add-log-exp`
5×	`unswap-sqr`
4×	`prod-exp` `insert-posit16`
3×	`flip3-+` `flip3--` `associate-l` `flip-+` `flip--`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `associate-/r/` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `sub-neg` `diff-log` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 99

Calls

4 calls:

11.0ms	(- (* b c) (* a d))
53.0ms	(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* b c) (* a d))
160.0ms	(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
44.0ms	(sqrt (+ (* c c) (* d d)))
40.0ms	(sqrt (+ (* c c) (* d d)))

simplify2.6s

Counts

111 → 111

Iterations

Iter	Nodes
3	3405
2	1113
1	392
0	148

prune776.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 26.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.7b	(- (* b c) (* a d))
18.3b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
33.9b	(sqrt (+ (* c c) (* d d)))
33.9b	(sqrt (+ (* c c) (* d d)))

rewrite48.0ms

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

Counts

4 → 90

Calls

4 calls:

7.0ms	(- (* b c) (* a d))
22.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
11.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(sqrt (+ (* c c) (* d d)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* b c) (* a d))
116.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
39.0ms	(sqrt (+ (* c c) (* d d)))
42.0ms	(sqrt (+ (* c c) (* d d)))

simplify609.0ms

Counts

102 → 102

Iterations

Iter	Nodes
3	2495
2	890
1	310
0	121

prune737.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 26.2b

regimes313.0ms

Accuracy

0% (2.7b remaining)

Error of 26.1b against oracle of 23.4b and baseline of 26.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	19
1	19
0	15

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

8486×

body

valid