Details

Time bar (total: 12.5s)

sample117.0ms

Algorithm
intervals
Results
35.0ms264×body80nan
22.0ms161×body160valid
18.0ms520×pre80true
9.0ms41×body320valid
4.0ms54×body80valid

simplify95.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.4b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
39.5b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite138.0ms

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))
14.0ms
(* (* 3.0 a) c)
95.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
20.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series388.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- (* b b) (* (* 3.0 a) c))
25.0ms
(* (* 3.0 a) c)
173.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
128.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.1s

Counts
105 → 105
Iterations
IterNodes
done5000
22777
1472
0167

prune693.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.9b

localize13.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune66.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.9b

localize22.0ms

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))

rewrite50.0ms

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:
7.0ms
(/ (* a c) b)
20.0ms
(* -1.5 (/ (* a c) b))
20.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series106.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (* a c) b)
55.0ms
(* -1.5 (/ (* a c) b))
25.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.7s

Counts
93 → 93
Iterations
IterNodes
done5001
22851
1401
0129

prune523.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 4.9b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
24×prod-exp cbrt-unprod
13×pow1
cbrt-undiv div-exp
pow-prod-down
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-*r* associate-*l*
expm1-log1p-u log1p-expm1-u add-log-exp
*-commutative
clear-num associate-/r* frac-2neg times-frac div-inv associate-/l*
Counts
3 → 73
Calls
3 calls:
26.0ms
(* (* 3.0 a) b)
23.0ms
(* -1.5 (* a c))
30.0ms
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

series87.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(* (* 3.0 a) b)
29.0ms
(* -1.5 (* a c))
28.0ms
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

simplify2.1s

Counts
82 → 82
Iterations
IterNodes
done5000
23392
1364
0113

prune256.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 4.9b

regimes810.0ms

Accuracy

0% (6.8b remaining)

Error of 12.0b against oracle of 5.2b and baseline of 12.0b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample3.1s

Algorithm
intervals
Results
925.0ms4869×body160valid
709.0ms16122×pre80true
571.0ms8122×body80nan
261.0ms1345×body320valid
107.0ms1786×body80valid