Details

Time bar (total: 13.0s)

sample115.0ms

Algorithm
intervals
Results
28.0ms533×pre80true
22.0ms151×body160valid
19.0ms277×body80nan
10.0ms48×body320valid
4.0ms57×body80valid

simplify101.0ms

Counts
1 → 1
Iterations
IterNodes
done128
5128
4119
386
246
125
014

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.6b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 c) a)))
0.1b
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
0.2b
(- (* b b) (* (* 4.0 c) a))
37.2b
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×*-un-lft-identity
30×add-cube-cbrt
20×sqrt-prod
19×prod-diff
18×times-frac
10×difference-of-squares
add-log-exp
fma-neg
add-cbrt-cube add-exp-log associate-/l*
pow1 distribute-lft-out--
expm1-log1p-u flip3-- log1p-expm1-u flip--
associate-/r*
sub-neg sqrt-div diff-log associate-/l/
cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 118
Calls
4 calls:
10.0ms
(sqrt (- (* b b) (* (* 4.0 c) a)))
113.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
6.0ms
(- (* b b) (* (* 4.0 c) a))
56.0ms
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

series460.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(sqrt (- (* b b) (* (* 4.0 c) a)))
154.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
74.0ms
(- (* b b) (* (* 4.0 c) a))
130.0ms
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

simplify2.1s

Counts
130 → 130
Iterations
IterNodes
done5000
22182
1509
0198

prune704.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 5.4b

localize13.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune130.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 5.4b

localize18.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* a c) b)
0.2b
(/ (* -2.0 (/ (* a c) b)) a)

rewrite34.0ms

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 log1p-expm1-u div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 51
Calls
2 calls:
15.0ms
(/ (* a c) b)
17.0ms
(/ (* -2.0 (/ (* a c) b)) a)

series87.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (* a c) b)
41.0ms
(/ (* -2.0 (/ (* a c) b)) a)

simplify1.5s

Counts
57 → 57
Iterations
IterNodes
done5000
21941
1281
0101

prune538.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 5.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(log1p (/ (* a c) b))
0.2b
(/ (* a c) b)
0.2b
(/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) a)
0.3b
(expm1 (log1p (/ (* a c) b)))

rewrite30.0ms

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 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 → 68
Calls
4 calls:
1.0ms
(log1p (/ (* a c) b))
15.0ms
(/ (* a c) b)
12.0ms
(/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) a)
0.0ms
(expm1 (log1p (/ (* a c) b)))

series369.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(log1p (/ (* a c) b))
30.0ms
(/ (* a c) b)
129.0ms
(/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) a)
117.0ms
(expm1 (log1p (/ (* a c) b)))

simplify1.4s

Counts
80 → 80
Iterations
IterNodes
done5000
21741
1335
0140

prune440.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 5.4b

regimes937.0ms

Accuracy

11.3% (6.6b remaining)

Error of 11.7b against oracle of 5.1b and baseline of 12.6b

bsearch5.0ms

Steps
ItersRangePoint
0
1.1367127926867939e-06
1.150970403537976e-06
1.1438415981123848e-06

simplify5.0ms

Iterations
IterNodes
done31
131
025

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.1s16186×pre80true
871.0ms4769×body160valid
831.0ms8186×body80nan
290.0ms1336×body320valid
171.0ms1895×body80valid