Details

Time bar (total: 30.7s)

sample183.0ms

Algorithm
intervals
Results
42.0ms113×body320valid
36.0ms306×body80nan
34.0ms562×pre80true
31.0ms90×body160valid
8.0ms16×body640valid
5.0ms37×body80valid

simplify118.0ms

Counts
1 → 1
Iterations
IterNodes
893
793
692
590
482
366
240
121
012

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3 a) c))
0.2b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b
(* (* 3 a) c)
24.7b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
9×pow1
8×add-log-exp
7×add-cube-cbrt
6×times-frac associate-/l* difference-of-squares
4×prod-exp cbrt-unprod insert-posit16
3×flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×clear-num associate-/r* frac-2neg div-sub associate-*l* *-commutative div-inv
Counts
4 → 79
Calls
4 calls:
9.0ms
(- (* b b) (* (* 3 a) c))
90.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
18.0ms
(* (* 3 a) c)
50.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series356.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(- (* b b) (* (* 3 a) c))
139.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
33.0ms
(* (* 3 a) c)
103.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify5.4s

Counts
91 → 91
Iterations
IterNodes
36196
21498
1421
0158

prune412.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.1b

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune49.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.1b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

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
8×*-un-lft-identity add-cube-cbrt
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×associate-*l* insert-posit16 div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ associate-/l*
1×pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 81
Calls
3 calls:
9.0ms
(/ (* a c) b)
17.0ms
(* -3/2 (/ (* a c) b))
19.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series91.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (* a c) b)
36.0ms
(* -3/2 (/ (* a c) b))
22.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify12.8s

Counts
90 → 90
Iterations
IterNodes
315215
21842
1363
0126

prune379.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 3.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b)))
0.4b
(/ (cbrt (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b)))) (* 3 a))
0.5b
(* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b)))
0.7b
(cbrt (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))))

rewrite950.0ms

Algorithm
rewrite-expression-head
Rules
583×add-exp-log
581×add-cbrt-cube
377×prod-exp cbrt-unprod
198×pow1
116×cbrt-undiv div-exp
86×pow-prod-down
50×associate-*r/
38×pow-prod-up
19×pow-plus
16×frac-times associate-*l/ pow-sqr
14×cbrt-div
7×associate-/l/
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow2 times-frac insert-posit16 associate-/l* add-log-exp
3×cbrt-prod
2×associate-*r* associate-*l* pow3 *-commutative
1×clear-num associate-/r* frac-2neg pow1/3 swap-sqr rem-cbrt-cube div-inv
Counts
4 → 309
Calls
4 calls:
409.0ms
(* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b)))
32.0ms
(/ (cbrt (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b)))) (* 3 a))
110.0ms
(* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b)))
382.0ms
(cbrt (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))))

series501.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b)))
131.0ms
(/ (cbrt (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b)))) (* 3 a))
98.0ms
(* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b)))
120.0ms
(cbrt (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))))

simplify1.5s

Counts
321 → 321
Iterations
IterNodes
23837
1884
0329

prune695.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 3.1b

regimes611.0ms

Accuracy

0% (3.6b remaining)

Error of 6.3b against oracle of 2.7b and baseline of 6.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
26
16
05

end0.0ms

sample6.4s

Algorithm
intervals
Results
1.6s8238×body80nan
1.6s3647×body320valid
1.2s2922×body160valid
1.1s16238×pre80true
280.0ms503×body640valid
122.0ms928×body80valid