Details

Time bar (total: 9.5s)

sample85.0ms

Algorithm
intervals
Results
23.0ms55×body320valid
13.0ms552×pre80true
13.0ms144×body160valid
13.0ms296×body80nan
2.0ms57×body80valid

simplify78.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01217
12217
24216
38216
410416
511216
done11216

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
37.3b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite260.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
27×*-un-lft-identity
21×add-cube-cbrt
19×prod-diff
15×sqrt-prod
14×add-exp-log add-cbrt-cube
9×pow1
8×add-log-exp
7×fma-neg
6×times-frac associate-/l* difference-of-squares
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×flip3-- associate-*r* pow-prod-down flip-- distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×frac-2neg div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
4 → 109
Calls
4 calls:
16.0ms
(- (* b b) (* (* 3.0 a) c))
32.0ms
(* (* 3.0 a) c)
135.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
70.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series377.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- (* b b) (* (* 3.0 a) c))
22.0ms
(* (* 3.0 a) c)
165.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
129.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.5s

Counts
121 → 121
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02012338
14952065
216681747
done50001676

prune352.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.0b

localize6.0ms

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

prune53.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.4b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite105.0ms

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:
18.0ms
(/ (* a c) b)
39.0ms
(* -1.5 (/ (* a c) b))
42.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series117.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (* a c) b)
49.0ms
(* -1.5 (/ (* a c) b))
39.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify833.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (280.0ms)

IterNodesCost
01291138
13531097
21740813
done5000813

prune294.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 4.9b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-*r/ associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
4 → 134
Calls
4 calls:
14.0ms
(/ (* a c) b)
35.0ms
(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
19.0ms
(/ (* -1.5 (/ (* a c) b)) 3.0)
19.0ms
(* -1.5 (/ (* a c) b))

series153.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (* a c) b)
31.0ms
(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
56.0ms
(/ (* -1.5 (/ (* a c) b)) 3.0)
39.0ms
(* -1.5 (/ (* a c) b))

simplify915.0ms

Counts
146 → 146
Iterations

Useful iterations: 2 (311.0ms)

IterNodesCost
02001928
14901858
218471550
done50001550

prune371.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 4.9b

regimes506.0ms

Accuracy

0% (7.0b remaining)

Error of 12.1b against oracle of 5.1b and baseline of 12.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.1s4824×body160valid
684.0ms16129×pre80true
535.0ms8129×body80nan
359.0ms1379×body320valid
166.0ms1797×body80valid