Details

sample242.0ms

Algorithm

intervals

Results

61.0ms	316×	body	80	nan
59.0ms	124×	body	320	valid
42.0ms	572×	pre	80	true
26.0ms	86×	body	160	valid
11.0ms	18×	body	640	valid
4.0ms	28×	body	80	valid

simplify196.0ms

Counts: 1 → 1

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.1b

localize25.0ms

Local error

Found 4 expressions with local error:

25.7b	(- (sqrt (fma c (* -3 a) (* b b))) b)
0.2b	(/ (- (sqrt (fma c (* -3 a) (* b b))) b) (* 3 a))
0.1b	(fma c (* -3 a) (* b b))
0.0b	(sqrt (fma c (* -3 a) (* b b)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff` `sqrt-prod`
9×	`add-cbrt-cube` `add-exp-log`
6×	`times-frac` `fma-neg` `associate-/l*` `add-log-exp` `difference-of-squares`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-out--`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`rem-sqrt-square` `clear-num` `associate-/r*` `sub-neg` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv`

Counts

4 → 102

Calls

4 calls:

Slowest

37.0ms	(/ (- (sqrt (fma c (* -3 a) (* b b))) b) (* 3 a))
10.0ms	(- (sqrt (fma c (* -3 a) (* b b))) b)
6.0ms	(fma c (* -3 a) (* b b))
2.0ms	(sqrt (fma c (* -3 a) (* b b)))

series396.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

119.0ms	(- (sqrt (fma c (* -3 a) (* b b))) b)
107.0ms	(/ (- (sqrt (fma c (* -3 a) (* b b))) b) (* 3 a))
101.0ms	(sqrt (fma c (* -3 a) (* b b)))
70.0ms	(fma c (* -3 a) (* b b))

simplify1.5s

Counts: 114 → 114

prune1.4s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 49.7b

localize51.0ms

Local error

Found 4 expressions with local error:

52.4b	(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.3b	(/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))
0.1b	(fma c (* -3 a) (* b b))
0.1b	(fma c (* -3 a) (* b b))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

Slowest

13.0ms	(/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))
1.0ms	(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.0ms	(fma c (* -3 a) (* b b))
0.0ms	(fma c (* -3 a) (* b b))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

682.0ms	(/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))
415.0ms	(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
77.0ms	(fma c (* -3 a) (* b b))
64.0ms	(fma c (* -3 a) (* b b))

simplify1.4s

Counts: 69 → 69

prune1.1s

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 49.7b

localize36.0ms

Local error

Found 4 expressions with local error:

52.4b	(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.3b	(/ 1/3 a)
0.2b	(* (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (/ 1/3 a))
0.1b	(fma c (* -3 a) (* b b))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
13×	`associate-r`
11×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 87

Calls

4 calls:

Slowest

18.0ms	(* (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (/ 1/3 a))
7.0ms	(/ 1/3 a)
1.0ms	(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.0ms	(fma c (* -3 a) (* b b))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

619.0ms	(* (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (/ 1/3 a))
428.0ms	(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
77.0ms	(fma c (* -3 a) (* b b))
17.0ms	(/ 1/3 a)

simplify1.8s

Counts: 99 → 99

prune1.7s

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 49.5b

localize43.0ms

Local error

Found 4 expressions with local error:

52.4b	(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.6b	(cbrt (/ 1/3 a))
0.6b	(cbrt (/ 1/3 a))
0.6b	(cbrt (/ 1/3 a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
27×	`times-frac`
25×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `pow1/3` `div-inv`
1×	`fma-udef`

Counts

4 → 86

Calls

4 calls:

Slowest

1.0ms	(cbrt (/ 1/3 a))
1.0ms	(cbrt (/ 1/3 a))
1.0ms	(cbrt (/ 1/3 a))
1.0ms	(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

349.0ms	(cbrt (/ 1/3 a))
344.0ms	(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
327.0ms	(cbrt (/ 1/3 a))
283.0ms	(cbrt (/ 1/3 a))

simplify1.1s

Counts: 98 → 98

prune1.3s

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 49.5b

regimes1.1s

Accuracy

0% (2.8b remaining)

Error of 51.6b against oracle of 48.8b and baseline of 51.6b

bsearch3.0ms

end0.0ms

sample5.9s

Algorithm

intervals

Results

1.9s	3643×	body	320	valid
1.1s	2928×	body	160	valid
1.0s	8015×	body	80	nan
975.0ms	16015×	pre	80	true
241.0ms	498×	body	640	valid
171.0ms	931×	body	80	valid