Details

sample53.0ms

Algorithm

intervals

Results

37.0ms

277×

body

valid

simplify59.0ms

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize35.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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:

12.0ms	(- (* b c) (* a d))
17.0ms	(/ (- (* b c) (* a d)) (fma d d (* c c)))

series214.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(- (* b c) (* a d))
145.0ms	(/ (- (* b c) (* a d)) (fma d d (* c c)))

simplify886.0ms

Counts

56 → 56

Iterations

Iter	Nodes
3	2471
2	717
1	219
0	88

prune583.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 28.7b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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:

12.0ms	(- (* b c) (* a d))
18.0ms	(/ (- (* 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)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* b c) (* a d))
160.0ms	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
55.0ms	(sqrt (fma d d (* c c)))
86.0ms	(sqrt (fma d d (* c c)))

simplify666.0ms

Counts

108 → 108

Iterations

Iter	Nodes
3	2063
2	741
1	265
0	115

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 26.2b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
22×	`-un-lft-identity` `times-frac` `associate-r*`
20×	`add-cube-cbrt`
17×	`sqrt-prod`
13×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow1`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `associate-l` `flip--`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `cbrt-unprod` `fma-udef` `hypot-def`
1×	`cbrt-undiv` `rec-exp` `sub-neg` `fma-neg` `diff-log` `1-exp` `prod-diff` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 105

Calls

4 calls:

16.0ms	(- (* b c) (* a d))
37.0ms	(* (- (* b c) (* a d)) (/ 1 (sqrt (fma d d (* c c)))))
1.0ms	(sqrt (fma d d (* c c)))
1.0ms	(sqrt (fma d d (* c c)))

series325.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (* b c) (* a d))
151.0ms	(* (- (* b c) (* a d)) (/ 1 (sqrt (fma d d (* c c)))))
56.0ms	(sqrt (fma d d (* c c)))
66.0ms	(sqrt (fma d d (* c c)))

simplify2.7s

Counts

117 → 117

Iterations

Iter	Nodes
3	3185
2	912
1	334
0	140

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 26.2b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (- (* b c) (* a d)) (/ 1 (sqrt (fma d d (* c c))))) (hypot d c))
0.7b	(- (* b c) (* a d))
18.4b	(* (- (* b c) (* a d)) (/ 1 (sqrt (fma d d (* c c)))))
33.9b	(sqrt (fma d d (* c c)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
28×	`add-exp-log`
25×	`times-frac`
23×	`*-un-lft-identity`
22×	`associate-r`
21×	`add-cube-cbrt`
18×	`add-cbrt-cube`
14×	`sqrt-prod`
9×	`div-exp`
8×	`prod-exp`
7×	`pow1`
6×	`add-log-exp` `associate-/l/`
5×	`cbrt-undiv` `flip3--` `flip--` `unswap-sqr`
4×	`expm1-log1p-u` `frac-times` `associate-*l/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `associate-l*`
2×	`rec-exp` `1-exp` `associate-*r/` `un-div-inv` `div-inv`
1×	`rem-sqrt-square` `clear-num` `sub-neg` `frac-2neg` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `-commutative` `fma-udef` `hypot-def` `associate-/l`

Counts

4 → 122

Calls

4 calls:

26.0ms	(/ (* (- (* b c) (* a d)) (/ 1 (sqrt (fma d d (* c c))))) (hypot d c))
8.0ms	(- (* b c) (* a d))
43.0ms	(* (- (* b c) (* a d)) (/ 1 (sqrt (fma d d (* c c)))))
2.0ms	(sqrt (fma d d (* c c)))

series476.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(/ (* (- (* b c) (* a d)) (/ 1 (sqrt (fma d d (* c c))))) (hypot d c))
59.0ms	(- (* b c) (* a d))
132.0ms	(* (- (* b c) (* a d)) (/ 1 (sqrt (fma d d (* c c)))))
56.0ms	(sqrt (fma d d (* c c)))

simplify4.2s

Counts

134 → 134

Iterations

Iter	Nodes
3	5006
2	1255
1	478
0	185

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.3b

regimes243.0ms

Accuracy

33.9% (7.0b remaining)

Error of 13.0b against oracle of 6.0b and baseline of 16.6b

bsearch83.0ms

Steps

Iters	Range		Point
8	3.372408081623898e+129	7.047913005907237e+133	6.920723654382158e+133
7	-6.548997509050871e+97	-3.6418976450654745e+95	-4.431736220616081e+97

simplify3.0ms

Iterations

Iter	Nodes
2	22
1	22
0	19

end0.0ms

sample1.1s

Algorithm

intervals

Results

843.0ms

8486×

body

valid