Details

Time bar (total: 3.6s)

sample52.0ms

Algorithm
intervals
Results
9.0ms144×body160valid
9.0ms296×body80nan
9.0ms552×pre80true
4.0ms112×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0229
1439
2839
31109
41189
51189
done1189

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* 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))
27.8b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite116.0ms

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:
9.0ms
(- (* b b) (* (* 3.0 a) c))
17.0ms
(* (* 3.0 a) c)
66.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
22.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series262.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (* b b) (* (* 3.0 a) c))
20.0ms
(* (* 3.0 a) c)
113.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
82.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify57.0ms

Counts
105 → 105
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0449785
12075672
25002663
done5002663

prune255.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 10.1b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune34.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 10.1b

localize8.0ms

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))

rewrite53.0ms

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)
17.0ms
(* -1.5 (/ (* a c) b))
24.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series74.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(/ (* a c) b)
29.0ms
(* -1.5 (/ (* a c) b))
25.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify55.0ms

Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0383531
12513389
25002389
done5002389

prune173.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 10.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log add-cbrt-cube
23×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
13×associate-*r*
10×times-frac
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×pow1
3×pow-prod-down
2×expm1-log1p-u associate-*r/ log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*l* clear-num associate-/r* *-commutative associate-/l/ associate-/l*
Counts
2 → 71
Calls
2 calls:
26.0ms
(/ (* (* a -1.5) (/ c b)) (* 3.0 a))
25.0ms
(* (* a -1.5) (/ c b))

series54.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (* (* a -1.5) (/ c b)) (* 3.0 a))
30.0ms
(* (* a -1.5) (/ c b))

simplify67.0ms

Counts
77 → 77
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0436520
12966364
25002364
done5002364

prune87.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 10.0b

regimes694.0ms

Accuracy

57.8% (5.6b remaining)

Error of 14.8b against oracle of 9.2b and baseline of 22.5b

bsearch4.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03531
13531
done3531

end0.0ms

sample1.4s

Algorithm
intervals
Results
296.0ms4540×body160valid
267.0ms16509×pre80true
264.0ms8509×body80nan
115.0ms3460×body80valid