Details

sample136.0ms

Algorithm

intervals

Results

32.0ms	132×	body	320	valid
19.0ms	482×	pre	80	true
17.0ms	226×	body	80	nan
14.0ms	88×	body	160	valid
6.0ms	17×	body	640	valid
2.0ms	19×	body	80	valid

simplify344.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	102
7	102
6	101
5	99
4	91
3	75
2	40
1	22
0	12

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 55.3b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
27.1b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt` `add-log-exp`
9×	`pow1`
6×	`distribute-rgt-neg-in` `distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `associate-r` `pow-prod-down`
2×	`neg-sub0` `cbrt-undiv` `sum-log` `flip3-+` `div-exp` `associate-+l-` `flip-+` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-/r` `neg-mul-1` `sub-neg` `frac-2neg` `flip3--` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `neg-log` `-commutative` `div-inv` `flip--`

Counts

4 → 97

Calls

4 calls:

21.0ms	(- (* b b) (* (* 3.0 a) c))
108.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
45.0ms	(* (* 3.0 a) c)
45.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series540.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (* b b) (* (* 3.0 a) c))
237.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
49.0ms	(* (* 3.0 a) c)
175.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify3.5s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	1575
1	464
0	171

prune1.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.0b

localize8.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune133.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.4b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r/` `associate-/l`
1×	`pow-prod-down` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

3 → 87

Calls

3 calls:

12.0ms	(/ (* a c) b)
46.0ms	(* -1.5 (/ (* a c) b))
30.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series117.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (* a c) b)
48.0ms	(* -1.5 (/ (* a c) b))
37.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify3.5s

Counts

96 → 96

Iterations

Iter	Nodes
done	5018
2	2326
1	409
0	132

prune1.4s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(expm1 (log1p (/ (* a c) b)))
0.3b	(* -1.5 (expm1 (log1p (/ (* a c) b))))
0.4b	(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

24.0ms	(/ (* a c) b)
2.0ms	(expm1 (log1p (/ (* a c) b)))
14.0ms	(* -1.5 (expm1 (log1p (/ (* a c) b))))
20.0ms	(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

series851.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (* a c) b)
256.0ms	(expm1 (log1p (/ (* a c) b)))
298.0ms	(* -1.5 (expm1 (log1p (/ (* a c) b))))
267.0ms	(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

simplify3.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1791
1	388
0	158

prune1.3s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.0b

regimes2.3s

Accuracy

0% (3.3b remaining)

Error of 5.9b against oracle of 2.6b and baseline of 5.9b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.2s	3638×	body	320	valid
677.0ms	16100×	pre	80	true
588.0ms	8100×	body	80	nan
430.0ms	3008×	body	160	valid
191.0ms	487×	body	640	valid
52.0ms	867×	body	80	valid