Details

sample182.0ms

Algorithm

intervals

Results

41.0ms	110×	body	320	valid
37.0ms	97×	body	160	valid
31.0ms	514×	pre	80	true
31.0ms	258×	body	80	nan
8.0ms	17×	body	640	valid
4.0ms	32×	body	80	valid

simplify479.0ms

Counts: 1 → 1

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.6b

localize25.0ms

Local error

Found 4 expressions with local error:

25.1b	(- (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)))

rewrite46.0ms

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

33.0ms	(/ (- (sqrt (fma c (* -3 a) (* b b))) b) (* 3 a))
8.0ms	(- (sqrt (fma c (* -3 a) (* b b))) b)
2.0ms	(sqrt (fma c (* -3 a) (* b b)))
1.0ms	(fma c (* -3 a) (* b b))

series460.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

139.0ms	(/ (- (sqrt (fma c (* -3 a) (* b b))) b) (* 3 a))
117.0ms	(sqrt (fma c (* -3 a) (* b b)))
102.0ms	(- (sqrt (fma c (* -3 a) (* b b))) b)
101.0ms	(fma c (* -3 a) (* b b))

simplify473.0ms

Counts: 145 → 114

prune1.3s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 48.4b

localize40.0ms

Local error

Found 4 expressions with local error:

50.9b	(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.2b	(/ (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))

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

642.0ms	(/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))
491.0ms	(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
78.0ms	(fma c (* -3 a) (* b b))
65.0ms	(fma c (* -3 a) (* b b))

simplify1.4s

Counts: 73 → 69

prune1.0s

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 48.4b

localize39.0ms

Local error

Found 4 expressions with local error:

50.9b	(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma b b (* (* a -3) c)))) (- b))
0.3b	(* (* a -3) c)
0.2b	(/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma b b (* (* a -3) c)))) (- b)) (* 3 a))
0.1b	(fma c (* -3 a) (* b b))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

Slowest

23.0ms	(* (* a -3) c)
7.0ms	(/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma b b (* (* a -3) c)))) (- b)) (* 3 a))
0.0ms	(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma b b (* (* a -3) c)))) (- b))
0.0ms	(fma c (* -3 a) (* b b))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

562.0ms	(/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma b b (* (* a -3) c)))) (- b)) (* 3 a))
414.0ms	(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma b b (* (* a -3) c)))) (- b))
88.0ms	(fma c (* -3 a) (* b b))
23.0ms	(* (* a -3) c)

simplify785.0ms

Counts: 82 → 79

prune1.2s

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 48.3b

localize90.0ms

Local error

Found 4 expressions with local error:

50.9b	(fma (sqrt (sqrt (cbrt (* (* (fma c (* a -3) (* b b)) (fma c (* a -3) (* b b))) (fma c (* a -3) (* b b)))))) (sqrt (sqrt (fma b b (* (* a -3) c)))) (- b))
0.6b	(cbrt (* (* (fma c (* a -3) (* b b)) (fma c (* a -3) (* b b))) (fma c (* a -3) (* b b))))
0.5b	(* (fma c (* a -3) (* b b)) (fma c (* a -3) (* b b)))
0.3b	(* (* (fma c (* a -3) (* b b)) (fma c (* a -3) (* b b))) (fma c (* a -3) (* b b)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r`
5×	`fma-udef`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

4 → 87

Calls

4 calls:

Slowest

23.0ms	(cbrt (* (* (fma c (* a -3) (* b b)) (fma c (* a -3) (* b b))) (fma c (* a -3) (* b b))))
15.0ms	(* (* (fma c (* a -3) (* b b)) (fma c (* a -3) (* b b))) (fma c (* a -3) (* b b)))
6.0ms	(* (fma c (* a -3) (* b b)) (fma c (* a -3) (* b b)))
1.0ms	(fma (sqrt (sqrt (cbrt (* (* (fma c (* a -3) (* b b)) (fma c (* a -3) (* b b))) (fma c (* a -3) (* b b)))))) (sqrt (sqrt (fma b b (* (* a -3) c)))) (- b))

series761.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

432.0ms	(fma (sqrt (sqrt (cbrt (* (* (fma c (* a -3) (* b b)) (fma c (* a -3) (* b b))) (fma c (* a -3) (* b b)))))) (sqrt (sqrt (fma b b (* (* a -3) c)))) (- b))
146.0ms	(* (* (fma c (* a -3) (* b b)) (fma c (* a -3) (* b b))) (fma c (* a -3) (* b b)))
97.0ms	(cbrt (* (* (fma c (* a -3) (* b b)) (fma c (* a -3) (* b b))) (fma c (* a -3) (* b b))))
85.0ms	(* (fma c (* a -3) (* b b)) (fma c (* a -3) (* b b)))

simplify554.0ms

Counts: 103 → 99

prune1.7s

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 48.2b

regimes1.0s

Accuracy

0% (2.7b remaining)

Error of 51.8b against oracle of 49.1b and baseline of 51.8b

bsearch5.0ms

end0.0ms

sample6.1s

Algorithm

intervals

Results

1.9s	3600×	body	320	valid
1.2s	2991×	body	160	valid
1.1s	8155×	body	80	nan
1000.0ms	16155×	pre	80	true
292.0ms	504×	body	640	valid
102.0ms	905×	body	80	valid