Details

sample59.0ms

Algorithm

intervals

Results

40.0ms

266×

body

valid

simplify79.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	80
5	80
4	76
3	56
2	40
1	21
0	11

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.7b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma d d (* c c))
1.1b	(- (* b c) (* a d))
27.7b	(/ (- (* b c) (* a d)) (fma d d (* c c)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `pow1` `associate-/r` `insert-posit16` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `fma-udef` `div-inv`

Counts

3 → 61

Calls

3 calls:

0.0ms	(fma d d (* c c))
16.0ms	(- (* b c) (* a d))
31.0ms	(/ (- (* b c) (* a d)) (fma d d (* c c)))

series263.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(fma d d (* c c))
79.0ms	(- (* b c) (* a d))
142.0ms	(/ (- (* b c) (* a d)) (fma d d (* c c)))

simplify919.0ms

Counts

70 → 70

Iterations

Iter	Nodes
3	2891
2	809
1	233
0	98

prune805.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 27.3b

localize41.0ms

Local error

Found 4 expressions with local error:

1.1b	(- (* b c) (* a d))
18.1b	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
31.5b	(sqrt (fma d d (* c c)))
31.5b	(sqrt (fma d d (* c c)))

rewrite37.0ms

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` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `fma-udef` `hypot-def` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `div-inv`

Counts

4 → 96

Calls

4 calls:

16.0ms	(- (* b c) (* a d))
17.0ms	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
1.0ms	(sqrt (fma d d (* c c)))
1.0ms	(sqrt (fma d d (* c c)))

series404.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (* b c) (* a d))
175.0ms	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
73.0ms	(sqrt (fma d d (* c c)))
84.0ms	(sqrt (fma d d (* c c)))

simplify781.0ms

Counts

108 → 108

Iterations

Iter	Nodes
3	2185
2	779
1	266
0	115

prune1.4s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 25.2b

localize28.0ms

Local error

Found 4 expressions with local error:

1.1b	(- (* b c) (* a d))
18.2b	(/ (sqrt (fma d d (* c c))) (- (* b c) (* a d)))
31.5b	(sqrt (fma d d (* c c)))
31.5b	(sqrt (fma d d (* c c)))

rewrite54.0ms

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` `add-exp-log` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-/r/` `fma-udef` `hypot-def` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-exp` `prod-diff` `div-inv`

Counts

4 → 95

Calls

4 calls:

15.0ms	(- (* b c) (* a d))
25.0ms	(/ (sqrt (fma d d (* c c))) (- (* b c) (* a d)))
10.0ms	(sqrt (fma d d (* c c)))
2.0ms	(sqrt (fma d d (* c c)))

series324.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (* b c) (* a d))
155.0ms	(/ (sqrt (fma d d (* c c))) (- (* b c) (* a d)))
62.0ms	(sqrt (fma d d (* c c)))
50.0ms	(sqrt (fma d d (* c c)))

simplify2.6s

Counts

107 → 107

Iterations

Iter	Nodes
4	3919
3	1565
2	620
1	229
0	110

prune1.3s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 25.2b

localize35.0ms

Local error

Found 4 expressions with local error:

1.1b	(- (* b c) (* a d))
18.1b	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
31.5b	(sqrt (fma d d (* c c)))
31.5b	(sqrt (fma d d (* c c)))

rewrite43.0ms

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` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `fma-udef` `hypot-def` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `div-inv`

Counts

4 → 96

Calls

4 calls:

16.0ms	(- (* b c) (* a d))
22.0ms	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
1.0ms	(sqrt (fma d d (* c c)))
1.0ms	(sqrt (fma d d (* c c)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (* b c) (* a d))
154.0ms	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
51.0ms	(sqrt (fma d d (* c c)))
65.0ms	(sqrt (fma d d (* c c)))

simplify598.0ms

Counts

108 → 108

Iterations

Iter	Nodes
3	2185
2	779
1	266
0	115

prune1.2s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 25.2b

regimes296.0ms

Accuracy

0% (2.5b remaining)

Error of 25.5b against oracle of 22.9b and baseline of 25.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	18
1	18
0	14

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.0s

8452×

body

valid