Details

Time bar (total: 12.5s)

sample106.0ms

Algorithm
intervals
Results
24.0ms158×body160valid
20.0ms270×body80nan
19.0ms526×pre80true
8.0ms98×body80valid

simplify144.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01217
12217
24216
38216
410416
511216
done11216

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.3b

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
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
30.2b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite338.0ms

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:
12.0ms
(- (* b b) (* (* 3.0 a) c))
37.0ms
(* (* 3.0 a) c)
180.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
103.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series759.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- (* b b) (* (* 3.0 a) c))
22.0ms
(* (* 3.0 a) c)
584.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
99.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.0s

Counts
121 → 121
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02012338
14952065
216681747
done50001676

prune489.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.8b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune70.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 9.8b

localize12.0ms

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))

rewrite66.0ms

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)
25.0ms
(* -1.5 (/ (* a c) b))
25.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series137.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (* a c) b)
53.0ms
(* -1.5 (/ (* a c) b))
41.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.1s

Counts
93 → 93
Iterations

Useful iterations: 2 (327.0ms)

IterNodesCost
01291138
13531097
21740813
done5000813

prune328.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 9.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b
(* -1.5 (* a c))
0.3b
(* (* -1.5 (* a c)) (/ 1 b))
0.4b
(/ (* (* -1.5 (* a c)) (/ 1 b)) (* 3.0 a))

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
166×add-exp-log
94×add-cbrt-cube
88×prod-exp
46×cbrt-unprod
44×div-exp
23×cbrt-undiv
17×pow1
14×associate-*r*
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×times-frac
9×rec-exp 1-exp pow-prod-down
4×associate-*l*
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×associate-*r/ un-div-inv *-commutative div-inv associate-/l/
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
3 → 124
Calls
3 calls:
34.0ms
(* -1.5 (* a c))
107.0ms
(* (* -1.5 (* a c)) (/ 1 b))
89.0ms
(/ (* (* -1.5 (* a c)) (/ 1 b)) (* 3.0 a))

series102.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* -1.5 (* a c))
38.0ms
(* (* -1.5 (* a c)) (/ 1 b))
30.0ms
(/ (* (* -1.5 (* a c)) (/ 1 b)) (* 3.0 a))

simplify1.9s

Counts
133 → 133
Iterations

Useful iterations: 2 (641.0ms)

IterNodesCost
01872096
15061753
227161219
done50011219

prune279.0ms

Pruning

35 alts after pruning (33 fresh and 2 done)

Merged error: 9.7b

regimes843.0ms

Accuracy

45.5% (7.6b remaining)

Error of 16.5b against oracle of 8.8b and baseline of 22.8b

bsearch26.0ms

Steps
ItersRangePoint
2
150.16573188891235
172.11219919383046
152.9090403020271

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02038
12438
done2438

end0.0ms

sample3.5s

Algorithm
intervals
Results
970.0ms16164×pre80true
810.0ms8164×body80nan
672.0ms4471×body160valid
357.0ms3529×body80valid