Details

Time bar (total: 29.5s)

sample174.0ms

Algorithm
intervals
Results
60.0ms152×body160valid
33.0ms507×pre80true
30.0ms251×body80nan
19.0ms46×body320valid
8.0ms58×body80valid

simplify148.0ms

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.4b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3 a) c))
0.3b
(* (* 3 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
37.8b
(+ (- 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:
8.0ms
(- (* b b) (* (* 3 a) c))
15.0ms
(* (* 3 a) c)
77.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
19.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

series294.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- (* b b) (* (* 3 a) c))
22.0ms
(* (* 3 a) c)
117.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
100.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify5.5s

Counts
109 → 109
Iterations
IterNodes
36252
21591
1466
0170

prune1.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.4b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune50.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.4b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite64.0ms

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:
18.0ms
(/ (* a c) b)
25.0ms
(* -3/2 (/ (* a c) b))
19.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series95.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ (* a c) b)
47.0ms
(* -3/2 (/ (* a c) b))
25.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify13.3s

Counts
96 → 96
Iterations
IterNodes
316672
21918
1379
0132

prune793.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 5.4b

localize20.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* 3 a) b)
0.3b
(* -3/2 (* a c))
0.4b
(/ (* -3/2 (* a c)) (* (* 3 a) b))

rewrite79.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
*-commutative
clear-num associate-/r* frac-2neg times-frac div-inv associate-/l*
Counts
3 → 76
Calls
3 calls:
13.0ms
(* (* 3 a) b)
24.0ms
(* -3/2 (* a c))
41.0ms
(/ (* -3/2 (* a c)) (* (* 3 a) b))

series102.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* (* 3 a) b)
35.0ms
(* -3/2 (* a c))
29.0ms
(/ (* -3/2 (* a c)) (* (* 3 a) b))

simplify657.0ms

Counts
85 → 85
Iterations
IterNodes
22515
1338
0116

prune602.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 5.4b

regimes840.0ms

Accuracy

29% (4.9b remaining)

Error of 10.1b against oracle of 5.2b and baseline of 12.1b

bsearch3.0ms

simplify6.0ms

Iterations
IterNodes
237
137
029

end0.0ms

sample5.0s

Algorithm
intervals
Results
1.4s4824×body160valid
1.4s16225×pre80true
916.0ms8225×body80nan
549.0ms1361×body320valid
237.0ms1815×body80valid