Details

Time bar (total: 29.3s)

sample148.0ms

Algorithm
intervals
Results
34.0ms138×body160valid
33.0ms521×pre80true
31.0ms265×body80nan
15.0ms41×body320valid
10.0ms77×body80valid

simplify130.0ms

Counts
1 → 1
Iterations
IterNodes
8102
7102
6101
599
491
373
241
122
012

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3 a) c))
0.3b
(* (* 3 a) c)
0.4b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
36.0b
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

rewrite120.0ms

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
pow1
distribute-rgt-neg-in distribute-lft-out
times-frac associate-/l*
expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
distribute-lft-neg-in associate-*r* pow-prod-down
neg-sub0 cbrt-undiv sum-log flip3-+ div-exp associate-+l- flip-+ associate-/l/
+-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:
16.0ms
(- (* b b) (* (* 3 a) c))
18.0ms
(* (* 3 a) c)
68.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
15.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

series371.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(- (* b b) (* (* 3 a) c))
28.0ms
(* (* 3 a) c)
151.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
124.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify5.7s

Counts
109 → 109
Iterations
IterNodes
36252
21591
1466
0170

prune1.2s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.0b

localize13.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune67.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 6.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* -3/2 (/ (* a c) b))
0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite61.0ms

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
*-un-lft-identity add-cube-cbrt
times-frac associate-*r*
pow1
associate-/r*
expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u div-inv add-log-exp
clear-num frac-2neg associate-*r/ associate-/l*
pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 87
Calls
3 calls:
9.0ms
(/ (* a c) b)
25.0ms
(* -3/2 (/ (* a c) b))
26.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series90.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ (* a c) b)
29.0ms
(* -3/2 (/ (* a c) b))
26.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify12.4s

Counts
96 → 96
Iterations
IterNodes
316672
21918
1379
0132

prune917.0ms

Pruning

25 alts after pruning (23 fresh and 2 done)

Merged error: 5.9b

localize22.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ (* -1/2 a) (/ b c)) a)
0.3b
(/ (* -1/2 a) (/ b c))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
173×times-frac
67×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
32×add-cbrt-cube add-exp-log
19×associate-/l*
17×cbrt-undiv div-exp
16×associate-/r*
12×div-inv
associate-/r/
prod-exp cbrt-unprod
expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 148
Calls
2 calls:
13.0ms
(/ (/ (* -1/2 a) (/ b c)) a)
13.0ms
(/ (* -1/2 a) (/ b c))

series56.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (/ (* -1/2 a) (/ b c)) a)
32.0ms
(/ (* -1/2 a) (/ b c))

simplify631.0ms

Counts
154 → 154
Iterations
IterNodes
22151
1715
0270

prune1.4s

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 5.9b

regimes1.2s

Accuracy

31.8% (4.8b remaining)

Error of 9.9b against oracle of 5.1b and baseline of 12.1b

bsearch6.0ms

simplify11.0ms

Iterations
IterNodes
237
137
029

end0.0ms

sample4.7s

Algorithm
intervals
Results
1.3s4795×body160valid
1.3s16346×pre80true
964.0ms8346×body80nan
524.0ms1375×body320valid
197.0ms1830×body80valid