Details

Time bar (total: 13.4s)

sample100.0ms

Algorithm
intervals
Results
20.0ms290×body80nan
19.0ms133×body160valid
19.0ms546×pre80true
9.0ms123×body80valid

simplify104.0ms

Counts
1 → 1
Iterations
IterNodes
done102
7102
6101
599
491
375
240
122
012

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
27.0b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite148.0ms

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:
14.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
67.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
44.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series389.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(- (* b b) (* (* 3.0 a) c))
35.0ms
(* (* 3.0 a) c)
145.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
144.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.9s

Counts
105 → 105
Iterations
IterNodes
done5000
21585
1462
0167

prune722.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 9.3b

localize11.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune137.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 9.3b

localize16.0ms

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))

rewrite80.0ms

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:
14.0ms
(/ (* a c) b)
28.0ms
(* -1.5 (/ (* a c) b))
33.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series107.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (* a c) b)
31.0ms
(* -1.5 (/ (* a c) b))
41.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.5s

Counts
93 → 93
Iterations
IterNodes
done5042
22220
1386
0129

prune787.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 9.3b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
55×add-cbrt-cube add-exp-log
23×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
13×associate-*r*
10×times-frac
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1
pow-prod-down
expm1-log1p-u associate-*r/ log1p-expm1-u div-inv add-log-exp
clear-num associate-/r* frac-2neg associate-*l* *-commutative associate-/l* associate-/l/
Counts
2 → 71
Calls
2 calls:
23.0ms
(/ (* (* -1.5 a) (/ c b)) (* 3.0 a))
21.0ms
(* (* -1.5 a) (/ c b))

series62.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (* (* -1.5 a) (/ c b)) (* 3.0 a))
37.0ms
(* (* -1.5 a) (/ c b))

simplify1.3s

Counts
77 → 77
Iterations
IterNodes
done5020
22272
1410
0133

prune279.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 9.3b

regimes2.1s

Accuracy

58.7% (5.6b remaining)

Error of 14.6b against oracle of 9.0b and baseline of 22.6b

bsearch7.0ms

simplify12.0ms

Iterations
IterNodes
done38
138
029

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.2s4471×body160valid
771.0ms16600×pre80true
702.0ms8600×body80nan
244.0ms3529×body80valid