Details

Time bar (total: 29.4s)

sample169.0ms

Algorithm
intervals
Results
61.0ms291×body80nan
37.0ms149×body160valid
32.0ms547×pre80true
14.0ms107×body80valid

simplify124.0ms

Counts
1 → 1
Iterations
IterNodes
8105
7105
6104
5102
494
377
244
125
014

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.7b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma b b (* (* a -4) c))
0.1b
(sqrt (fma b b (* (* a -4) c)))
0.2b
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
29.7b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×*-un-lft-identity
30×add-cube-cbrt
20×sqrt-prod
18×times-frac prod-diff
10×difference-of-squares
6×add-cbrt-cube fma-neg add-exp-log associate-/l* add-log-exp
5×pow1 distribute-lft-out--
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/r*
2×flip3-- flip-- associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num sub-neg frac-2neg sqrt-pow1 pow1/2 diff-log div-sub div-exp fma-udef div-inv
Counts
4 → 114
Calls
4 calls:
0.0ms
(fma b b (* (* a -4) c))
1.0ms
(sqrt (fma b b (* (* a -4) c)))
22.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
8.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series473.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(fma b b (* (* a -4) c))
119.0ms
(sqrt (fma b b (* (* a -4) c)))
159.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
126.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify1.2s

Counts
126 → 126
Iterations
IterNodes
32589
2949
1405
0180

prune1.6s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.2b

localize19.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune94.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 8.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* -2 (/ (* a c) b)) a)
0.3b
(/ (* a c) b)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
8×cbrt-undiv div-exp
6×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
5×prod-exp cbrt-unprod
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 53
Calls
2 calls:
32.0ms
(/ (* -2 (/ (* a c) b)) a)
9.0ms
(/ (* a c) b)

series78.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (* -2 (/ (* a c) b)) a)
43.0ms
(/ (* a c) b)

simplify2.9s

Counts
59 → 59
Iterations
IterNodes
36739
21081
1265
0103

prune597.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 8.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ b (* a c))
0.2b
(/ (* -2 (/ 1 (/ b (* a c)))) a)
0.3b
(/ 1 (/ b (* a c)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×times-frac
37×add-cbrt-cube div-exp
23×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×cbrt-undiv prod-exp
11×associate-/r*
7×cbrt-unprod div-inv associate-/l*
6×rec-exp 1-exp
4×pow1
3×expm1-log1p-u clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
2×associate-/l/
1×associate-*r/ associate-/r/ un-div-inv pow-flip inv-pow
Counts
3 → 121
Calls
3 calls:
14.0ms
(/ b (* a c))
50.0ms
(/ (* -2 (/ 1 (/ b (* a c)))) a)
16.0ms
(/ 1 (/ b (* a c)))

series102.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ b (* a c))
27.0ms
(/ (* -2 (/ 1 (/ b (* a c)))) a)
42.0ms
(/ 1 (/ b (* a c)))

simplify15.2s

Counts
130 → 130
Iterations
IterNodes
39593
21729
1481
0192

prune1.1s

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 8.1b

regimes802.0ms

Accuracy

47.3% (7.3b remaining)

Error of 16.3b against oracle of 9.0b and baseline of 22.9b

bsearch4.0ms

Steps
ItersRangePoint
0
1631.2988902509258
1662.9642517872185
1647.131571019072

simplify11.0ms

Iterations
IterNodes
235
135
030

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.2s4459×body160valid
1.2s8663×body80nan
1.1s16663×pre80true
494.0ms3541×body80valid