Details

Time bar (total: 13.7s)

sample116.0ms

Algorithm
intervals
Results
33.0ms255×body80nan
20.0ms140×body160valid
17.0ms511×pre80true
8.0ms116×body80valid

simplify66.0ms

Counts
1 → 1
Iterations
IterNodes
done120
5120
4112
383
242
122
012

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
29.4b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite142.0ms

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 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 → 93
Calls
4 calls:
7.0ms
(- (* b b) (* (* 3.0 a) c))
13.0ms
(* (* 3.0 a) c)
100.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
19.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series383.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(- (* b b) (* (* 3.0 a) c))
32.0ms
(* (* 3.0 a) c)
149.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
136.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.1s

Counts
105 → 105
Iterations
IterNodes
done5000
22777
1472
0167

prune752.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.3b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune94.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 9.3b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.4b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite78.0ms

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* 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 → 84
Calls
3 calls:
15.0ms
(/ (* a c) b)
33.0ms
(* -1.5 (/ (* a c) b))
25.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series98.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (* a c) b)
47.0ms
(* -1.5 (/ (* a c) b))
24.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.8s

Counts
93 → 93
Iterations
IterNodes
done5001
22851
1401
0129

prune469.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 9.2b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
17×cbrt-undiv div-exp
16×times-frac prod-exp cbrt-unprod
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1 associate-/l*
associate-/r* div-inv
expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u add-log-exp
clear-num frac-2neg
associate-*r* *-commutative associate-/l/
Counts
3 → 89
Calls
3 calls:
16.0ms
(/ (* -1.5 (* a c)) b)
13.0ms
(* -1.5 (* a c))
18.0ms
(/ (/ (* -1.5 (* a c)) b) (* 3.0 a))

series85.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ (* -1.5 (* a c)) b)
23.0ms
(* -1.5 (* a c))
29.0ms
(/ (/ (* -1.5 (* a c)) b) (* 3.0 a))

simplify1.6s

Counts
98 → 98
Iterations
IterNodes
done5001
22311
1395
0141

prune417.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 9.2b

regimes1.7s

Accuracy

57.2% (5.7b remaining)

Error of 15.0b against oracle of 9.3b and baseline of 22.7b

bsearch3.0ms

simplify10.0ms

Iterations
IterNodes
done38
138
029

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.1s16497×pre80true
760.0ms4472×body160valid
616.0ms8497×body80nan
341.0ms3528×body80valid