Details

sample32.0ms

Algorithm

intervals

Results

21.0ms

269×

body

valid

simplify69.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	92
6	92
5	88
4	76
3	56
2	40
1	21
0	11

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.5b

localize34.0ms

Local error

Found 2 expressions with local error:

0.5b	(- (* b c) (* a d))
23.6b	(/ (- (* b c) (* a d)) (fma d d (* c c)))

rewrite41.0ms

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×	`expm1-log1p-u` `pow1` `flip3--` `insert-posit16` `log1p-expm1-u` `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

2 → 50

Calls

2 calls:

8.0ms	(- (* b c) (* a d))
32.0ms	(/ (- (* b c) (* a d)) (fma d d (* c c)))

series195.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(- (* b c) (* a d))
130.0ms	(/ (- (* b c) (* a d)) (fma d d (* c c)))

simplify1.7s

Counts

56 → 56

Iterations

Iter	Nodes
done	5013
3	2741
2	736
1	220
0	88

prune359.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 23.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* b c) (* a d))
15.2b	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
27.8b	(sqrt (fma d d (* c c)))
27.8b	(sqrt (fma d d (* c c)))

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` `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:

8.0ms	(- (* b c) (* a d))
34.0ms	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
2.0ms	(sqrt (fma d d (* c c)))
3.0ms	(sqrt (fma d d (* c c)))

series314.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (* b c) (* a d))
150.0ms	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
58.0ms	(sqrt (fma d d (* c c)))
50.0ms	(sqrt (fma d d (* c c)))

simplify2.2s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
3	2414
2	816
1	266
0	115

prune656.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 21.6b

localize49.0ms

Local error

Found 4 expressions with local error:

7.9b	(/ (- (* b c) (* a d)) (sqrt (sqrt (fma d d (* c c)))))
27.8b	(sqrt (fma d d (* c c)))
27.8b	(sqrt (fma d d (* c c)))
27.8b	(sqrt (fma d d (* c c)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

45×	`sqrt-prod`
32×	`add-sqr-sqrt`
29×	`*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
9×	`associate-/r*`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef` `hypot-def` `associate-/l*`
2×	`associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `div-inv` `flip--`

Counts

4 → 108

Calls

4 calls:

19.0ms	(/ (- (* b c) (* a d)) (sqrt (sqrt (fma d d (* c c)))))
1.0ms	(sqrt (fma d d (* c c)))
1.0ms	(sqrt (fma d d (* c c)))
1.0ms	(sqrt (fma d d (* c c)))

series512.0ms

Counts

4 → 12

Calls

4 calls:

304.0ms	(/ (- (* b c) (* a d)) (sqrt (sqrt (fma d d (* c c)))))
74.0ms	(sqrt (fma d d (* c c)))
68.0ms	(sqrt (fma d d (* c c)))
66.0ms	(sqrt (fma d d (* c c)))

simplify1.9s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
3	2398
2	819
1	280
0	128

prune701.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 21.6b

localize30.0ms

Local error

Found 4 expressions with local error:

21.6b	(/ (- (* b c) (* a d)) (* (cbrt (fma d d (* c c))) (cbrt (fma d d (* c c)))))
28.7b	(cbrt (fma d d (* c c)))
28.7b	(cbrt (fma d d (* c c)))
28.7b	(cbrt (fma d d (* c c)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

19.0ms	(/ (- (* b c) (* a d)) (* (cbrt (fma d d (* c c))) (cbrt (fma d d (* c c)))))
1.0ms	(cbrt (fma d d (* c c)))
1.0ms	(cbrt (fma d d (* c c)))
1.0ms	(cbrt (fma d d (* c c)))

series731.0ms

Counts

4 → 12

Calls

4 calls:

355.0ms	(/ (- (* b c) (* a d)) (* (cbrt (fma d d (* c c))) (cbrt (fma d d (* c c)))))
141.0ms	(cbrt (fma d d (* c c)))
107.0ms	(cbrt (fma d d (* c c)))
127.0ms	(cbrt (fma d d (* c c)))

simplify1.9s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
3	2752
2	790
1	265
0	102

prune519.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 20.9b

regimes333.0ms

Accuracy

0% (3.6b remaining)

Error of 26.0b against oracle of 22.4b and baseline of 26.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s

8470×

body

valid