Details

Time bar (total: 7.9s)

sample54.0ms

Algorithm
intervals
Results
10.0ms153×body160valid
9.0ms543×pre80true
9.0ms287×body80nan
4.0ms41×body320valid
2.0ms62×body80valid

simplify64.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01217
12117
24116
37516
48816
59616
done9616

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 43.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
0.2b
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
0.3b
(* (* 3.0 a) c)
39.0b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
147×add-sqr-sqrt
113×*-un-lft-identity
79×add-cube-cbrt
34×difference-of-squares
28×associate-/l*
17×sqrt-prod distribute-lft-out--
16×add-exp-log add-cbrt-cube
9×pow1
6×associate-/r* div-inv add-log-exp
4×cbrt-undiv div-exp
3×div-sub associate-*r* pow-prod-down prod-exp cbrt-unprod associate-/l/
2×flip3-- frac-2neg clear-num flip--
1×sub-neg diff-log associate-*l* *-commutative
Counts
4 → 182
Calls
4 calls:
76.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
72.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
18.0ms
(* (* 3.0 a) c)
40.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series305.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
109.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
20.0ms
(* (* 3.0 a) c)
84.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.2s

Counts
194 → 194
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02874775
16894627
219844417
done50004407

prune516.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 5.4b

localize3.0ms

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

prune52.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 5.4b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
0.2b
(/ (* a c) b)
0.2b
(/ (* -1.5 (/ (* a c) b)) 3.0)
0.3b
(* -1.5 (/ (* a c) b))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log add-cbrt-cube
42×times-frac
29×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
21×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
9×associate-/r* associate-/l*
8×div-inv
7×associate-*r*
6×pow1
4×add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-*r/ associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
4 → 126
Calls
4 calls:
24.0ms
(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
9.0ms
(/ (* a c) b)
18.0ms
(/ (* -1.5 (/ (* a c) b)) 3.0)
17.0ms
(* -1.5 (/ (* a c) b))

series102.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
23.0ms
(/ (* a c) b)
29.0ms
(/ (* -1.5 (/ (* a c) b)) 3.0)
29.0ms
(* -1.5 (/ (* a c) b))

simplify670.0ms

Counts
138 → 138
Iterations

Useful iterations: 2 (232.0ms)

IterNodesCost
01921856
14821786
218241478
done50001478

prune284.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 5.3b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
787×times-frac
391×add-sqr-sqrt
333×add-cube-cbrt *-un-lft-identity
185×sqrt-prod
154×associate-*r*
74×add-exp-log add-cbrt-cube
61×div-inv
38×cbrt-undiv div-exp
35×associate-/l*
22×associate-*l*
15×associate-/r* unswap-sqr
14×prod-exp cbrt-unprod
6×pow1
4×add-log-exp
3×frac-2neg clear-num
2×associate-/l/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 510
Calls
4 calls:
12.0ms
(/ (/ (* a c) b) 3.0)
6.0ms
(/ -1.5 (sqrt a))
109.0ms
(* (/ -1.5 (sqrt a)) (/ (/ (/ (* a c) b) 3.0) (sqrt a)))
26.0ms
(/ (/ (/ (* a c) b) 3.0) (sqrt a))

series186.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (/ (* a c) b) 3.0)
36.0ms
(/ -1.5 (sqrt a))
50.0ms
(* (/ -1.5 (sqrt a)) (/ (/ (/ (* a c) b) 3.0) (sqrt a)))
70.0ms
(/ (/ (/ (* a c) b) 3.0) (sqrt a))

simplify845.0ms

Counts
522 → 522
Iterations

Useful iterations: done (829.0ms)

IterNodesCost
067310039
119579161
done50008745

prune1.1s

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 5.3b

regimes423.0ms

Accuracy

14.3% (6.0b remaining)

Error of 11.0b against oracle of 5.0b and baseline of 12.1b

bsearch42.0ms

Steps
ItersRangePoint
6
0.004134462677295373
0.021871828225844332
0.004205915758382604

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02039
12439
done2439

end0.0ms

sample1.5s

Algorithm
intervals
Results
307.0ms4753×body160valid
276.0ms16322×pre80true
258.0ms8322×body80nan
146.0ms1439×body320valid
61.0ms1808×body80valid