Details

Time bar (total: 12.1s)

sample114.0ms

Algorithm
intervals
Results
22.0ms108×body320valid
18.0ms265×body80nan
17.0ms521×pre80true
15.0ms108×body160valid
3.0ms13×body640valid
2.0ms27×body80valid

simplify123.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01217
12217
24216
38316
411216
512016
done12016

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.3b

localize18.0ms

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)
28.7b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-sqr-sqrt add-cube-cbrt fma-def 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
cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
+-commutative neg-mul-1 sub-neg flip3-- frac-2neg fma-neg diff-log div-sub associate-*l* prod-diff neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 93
Calls
4 calls:
19.0ms
(- (* b b) (* (* 3.0 a) c))
131.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
18.0ms
(* (* 3.0 a) c)
42.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series392.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(- (* b b) (* (* 3.0 a) c))
160.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
35.0ms
(* (* 3.0 a) c)
132.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.0s

Counts
105 → 105
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01671559
14711480
227601247
done50001244

prune401.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.2b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune62.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.2b

localize19.0ms

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))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
times-frac associate-*r*
pow1
associate-/r*
expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
frac-2neg associate-*r/ clear-num associate-/l*
pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 84
Calls
3 calls:
19.0ms
(/ (* a c) b)
42.0ms
(* -1.5 (/ (* a c) b))
48.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series121.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ (* a c) b)
53.0ms
(* -1.5 (/ (* a c) b))
41.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.5s

Counts
93 → 93
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01291138
14011097
22851877
done5001853

prune306.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 3.1b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
expm1-log1p-u times-frac associate-/r* log1p-expm1-u add-log-exp
associate-*r* associate-*l*
frac-2neg clear-num div-inv associate-/l*
expm1-log1p pow-prod-down *-commutative expm1-udef unswap-sqr
Counts
4 → 77
Calls
4 calls:
12.0ms
(/ (* a c) b)
14.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
1.0ms
(expm1 (log1p (/ (* a c) b)))
20.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

series443.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ (* a c) b)
154.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
126.0ms
(expm1 (log1p (/ (* a c) b)))
126.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

simplify1.1s

Counts
89 → 89
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01541143
1392967
22248797
done5001778

prune312.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 3.1b

regimes419.0ms

Accuracy

0% (3.6b remaining)

Error of 6.4b against oracle of 2.8b and baseline of 6.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample4.4s

Algorithm
intervals
Results
1.1s3015×body160valid
837.0ms3545×body320valid
780.0ms16302×pre80true
713.0ms8302×body80nan
137.0ms487×body640valid
68.0ms953×body80valid