Details

Time bar (total: 11.1s)

sample106.0ms

Algorithm
intervals
Results
30.0ms495×pre80true
17.0ms143×body160valid
14.0ms239×body80nan
9.0ms50×body320valid
4.0ms63×body80valid

simplify106.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
01217
12217
24216
38216
410416
511216
done11216

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.9b

localize24.0ms

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))
36.0b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite252.0ms

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:
9.0ms
(- (* b b) (* (* 3.0 a) c))
22.0ms
(* (* 3.0 a) c)
145.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
73.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series325.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(- (* b b) (* (* 3.0 a) c))
25.0ms
(* (* 3.0 a) c)
124.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
110.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.8s

Counts
121 → 121
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02012338
14952065
216681747
done50001676

prune336.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.4b

localize4.0ms

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

prune46.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 5.4b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

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:
29.0ms
(* -1.5 (/ (* a c) b))
16.0ms
(/ (* a c) b)
23.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series114.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* -1.5 (/ (* a c) b))
30.0ms
(/ (* a c) b)
35.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.1s

Counts
93 → 93
Iterations

Useful iterations: 2 (300.0ms)

IterNodesCost
01291138
13531097
21754813
done5000813

prune228.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 5.3b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
158×add-exp-log
92×add-cbrt-cube
70×div-exp
53×prod-exp
37×cbrt-undiv
29×times-frac cbrt-unprod
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
10×associate-/r*
9×rec-exp 1-exp
8×div-inv
7×pow1 associate-*r*
6×associate-*r/ associate-/r/
5×associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* clear-num
1×pow-flip pow-prod-down *-commutative inv-pow unswap-sqr
Counts
4 → 162
Calls
4 calls:
24.0ms
(* -1.5 (/ (* a c) b))
42.0ms
(/ 1 (/ (* 3.0 a) (* -1.5 (/ (* a c) b))))
34.0ms
(/ (* 3.0 a) (* -1.5 (/ (* a c) b)))
15.0ms
(/ (* a c) b)

series134.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* -1.5 (/ (* a c) b))
35.0ms
(/ 1 (/ (* 3.0 a) (* -1.5 (/ (* a c) b))))
34.0ms
(/ (* 3.0 a) (* -1.5 (/ (* a c) b)))
26.0ms
(/ (* a c) b)

simplify1.4s

Counts
174 → 174
Iterations

Useful iterations: 2 (499.0ms)

IterNodesCost
02212726
15372475
222101879
done50001879

prune290.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 5.3b

regimes656.0ms

Accuracy

10.2% (6.4b remaining)

Error of 11.4b against oracle of 5.0b and baseline of 12.1b

bsearch18.0ms

Steps
ItersRangePoint
2
0.07643269616958917
0.08881808742306811
0.07798087007627404

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02240
12840
done2840

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.1s16322×pre80true
710.0ms4852×body160valid
597.0ms8322×body80nan
526.0ms1777×body80valid
337.0ms1371×body320valid