Details

Time bar (total: 17.0s)

sample685.0ms

Algorithm
intervals
Results
208.0ms562×pre80true
83.0ms112×body320valid
70.0ms16×body640valid
52.0ms306×body80nan
30.0ms91×body160valid
6.0ms37×body80valid

simplify135.0ms

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: 50.7b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fma b b (* (* a -4) c)))
0.1b
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
24.7b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
39×*-un-lft-identity
29×add-cube-cbrt
20×sqrt-prod
18×times-frac prod-diff
10×difference-of-squares
fma-neg associate-/l*
add-cbrt-cube add-exp-log distribute-lft-out-- add-log-exp
pow1
expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u
flip3-- flip-- associate-/l/
cbrt-undiv rem-sqrt-square clear-num sub-neg frac-2neg sqrt-pow1 pow1/2 diff-log div-sub div-exp div-inv
Counts
3 → 103
Calls
3 calls:
1.0ms
(sqrt (fma b b (* (* a -4) c)))
16.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
9.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series543.0ms

Counts
3 → 9
Calls
3 calls:
132.0ms
(sqrt (fma b b (* (* a -4) c)))
247.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
164.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify1.1s

Counts
112 → 112
Iterations
IterNodes
32301
2881
1389
0170

prune658.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.1b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune65.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 3.1b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
cbrt-undiv div-exp
add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
prod-exp cbrt-unprod
expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 53
Calls
2 calls:
12.0ms
(/ (* a c) b)
31.0ms
(/ (* -2 (/ (* a c) b)) a)

series48.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* a c) b)
26.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify2.8s

Counts
59 → 59
Iterations
IterNodes
36399
21058
1267
0103

prune290.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 3.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(log1p (/ (* a c) b))
0.3b
(/ (* a c) b)
0.3b
(/ (* -2 (expm1 (log1p (/ (* a c) b)))) a)
0.3b
(expm1 (log1p (/ (* a c) b)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-/r* times-frac
expm1-log1p-u
pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
clear-num frac-2neg prod-exp cbrt-unprod div-inv associate-/l*
log1p-udef expm1-log1p log1p-expm1 expm1-udef
Counts
4 → 72
Calls
4 calls:
1.0ms
(log1p (/ (* a c) b))
25.0ms
(/ (* a c) b)
18.0ms
(/ (* -2 (expm1 (log1p (/ (* a c) b)))) a)
1.0ms
(expm1 (log1p (/ (* a c) b)))

series311.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(log1p (/ (* a c) b))
33.0ms
(/ (* a c) b)
89.0ms
(/ (* -2 (expm1 (log1p (/ (* a c) b)))) a)
117.0ms
(expm1 (log1p (/ (* a c) b)))

simplify2.6s

Counts
84 → 84
Iterations
IterNodes
34869
2987
1324
0144

prune463.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 3.1b

regimes530.0ms

Accuracy

0% (3.6b remaining)

Error of 6.3b against oracle of 2.7b and baseline of 6.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
28
18
07

end0.0ms

sample6.5s

Algorithm
intervals
Results
2.2s3649×body320valid
1.4s2924×body160valid
1.2s8269×body80nan
970.0ms16269×pre80true
255.0ms497×body640valid
123.0ms930×body80valid