Details

Time bar (total: 12.3s)

sample112.0ms

Algorithm
intervals
Results
27.0ms42×body320valid
21.0ms161×body160valid
14.0ms490×pre80true
14.0ms234×body80nan
3.0ms53×body80valid

simplify119.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
01217
12217
24216
38316
411216
512016
done12016

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
40.5b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite210.0ms

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:
17.0ms
(- (* b b) (* (* 3.0 a) c))
18.0ms
(* (* 3.0 a) c)
140.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
31.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series400.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (* b b) (* (* 3.0 a) c))
24.0ms
(* (* 3.0 a) c)
184.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
136.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.0s

Counts
105 → 105
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01671559
14721480
227811251
done50011244

prune410.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.5b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune61.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.5b

localize15.0ms

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))

rewrite74.0ms

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:
10.0ms
(/ (* a c) b)
38.0ms
(* -1.5 (/ (* a c) b))
23.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series117.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (* a c) b)
53.0ms
(* -1.5 (/ (* a c) b))
26.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify2.0s

Counts
93 → 93
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01291138
14011097
22851877
done5001853

prune347.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 5.4b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
21×prod-exp cbrt-unprod
17×add-sqr-sqrt
14×associate-*r*
12×cbrt-undiv add-cube-cbrt *-un-lft-identity div-exp
11×times-frac
10×pow1
6×associate-*l*
5×associate-*r/
4×pow-prod-down
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×*-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/r* associate-/l/ associate-/l*
Counts
3 → 89
Calls
3 calls:
55.0ms
(* -1.5 (* a (/ c b)))
22.0ms
(* a (/ c b))
42.0ms
(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

series87.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* -1.5 (* a (/ c b)))
21.0ms
(* a (/ c b))
28.0ms
(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

simplify1.5s

Counts
98 → 98
Iterations

Useful iterations: 2 (469.0ms)

IterNodesCost
01451170
14381127
22897887
done5000887

prune179.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 5.4b

regimes550.0ms

Accuracy

14.4% (5.9b remaining)

Error of 10.9b against oracle of 5.0b and baseline of 11.9b

bsearch30.0ms

Steps
ItersRangePoint
3
0.00035791103598314976
0.0004692793959918333
0.00036487155848369246

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02340
12840
done2840

end0.0ms

sample3.9s

Algorithm
intervals
Results
821.0ms4840×body160valid
747.0ms1372×body320valid
712.0ms16133×pre80true
707.0ms8133×body80nan
119.0ms1788×body80valid