Details

Time bar (total: 12.2s)

sample113.0ms

Algorithm
intervals
Results
35.0ms516×pre80true
20.0ms161×body160valid
15.0ms260×body80nan
9.0ms49×body320valid
3.0ms46×body80valid

simplify123.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
01217
12217
24216
38316
411216
512016
done12016

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* 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))
40.1b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite183.0ms

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
9×pow1
6×distribute-rgt-neg-in distribute-lft-out
5×times-frac associate-/l*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×distribute-lft-neg-in associate-*r* pow-prod-down
2×cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
1×+-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:
18.0ms
(- (* b b) (* (* 3.0 a) c))
26.0ms
(* (* 3.0 a) c)
110.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
25.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series412.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(- (* b b) (* (* 3.0 a) c))
29.0ms
(* (* 3.0 a) c)
166.0ms
(/ (+ (- 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

Useful iterations: done (2.1s)

IterNodesCost
01671559
14721480
227811251
done50011244

prune481.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.8b

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

prune64.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.8b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

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
8×add-cube-cbrt *-un-lft-identity
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num associate-/l*
1×pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 84
Calls
3 calls:
46.0ms
(* -1.5 (/ (* a c) b))
20.0ms
(/ (* a c) b)
23.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series110.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* -1.5 (/ (* a c) b))
22.0ms
(/ (* a c) b)
36.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.5s

Counts
93 → 93
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01291138
14011097
22854869
done5001853

prune362.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 4.7b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
4×expm1-log1p-u times-frac associate-/r* log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×frac-2neg clear-num div-inv associate-/l*
1×expm1-log1p pow-prod-down *-commutative expm1-udef unswap-sqr
Counts
4 → 77
Calls
4 calls:
0.0ms
(expm1 (log1p (/ (* a c) b)))
7.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
16.0ms
(/ (* a c) b)
27.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

series491.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(expm1 (log1p (/ (* a c) b)))
149.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
41.0ms
(/ (* a c) b)
141.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

simplify1.2s

Counts
89 → 89
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01541143
1392967
22232799
done5001776

prune314.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 4.7b

regimes621.0ms

Accuracy

12.2% (5.8b remaining)

Error of 11.0b against oracle of 5.2b and baseline of 11.8b

bsearch33.0ms

Steps
ItersRangePoint
3
0.0018769207629473568
0.0025836162970874084
0.0019013863807971283

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01825
12125
done2125

end0.0ms

sample3.9s

Algorithm
intervals
Results
808.0ms4892×body160valid
770.0ms8115×body80nan
613.0ms16115×pre80true
569.0ms1732×body80valid
330.0ms1376×body320valid