Details

Time bar (total: 12.7s)

sample52.0ms

Algorithm
intervals
Results
23.0ms75×body1280valid
8.0ms47×body640valid
6.0ms174×body80valid
3.0ms24×body320valid
1.0ms10×body160valid

simplify25.0ms

Counts
1 → 1
Iterations
IterNodes
done15
315
213
110
05

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- (exp x) 1.0) x)
3.6b
(- (exp x) 1.0)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
associate-/l* distribute-lft-out-- difference-of-squares
add-cbrt-cube add-exp-log add-log-exp
associate-/r*
pow1 flip3-- flip-- associate-/l/
cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub div-exp div-inv
Counts
2 → 52
Calls
2 calls:
21.0ms
(/ (- (exp x) 1.0) x)
8.0ms
(- (exp x) 1.0)

series80.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- (exp x) 1.0) x)
28.0ms
(- (exp x) 1.0)

simplify1.6s

Counts
58 → 58
Iterations
IterNodes
done5002
31947
2569
1224
099

prune227.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1/6 x) 1/2)
0.1b
(* x (+ (* 1/6 x) 1/2))
0.2b
(* 1/6 x)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
associate-*r* associate-*l*
add-log-exp
flip3-+ pow-prod-down prod-exp associate-*r/ *-commutative cbrt-unprod flip-+ unswap-sqr
distribute-rgt-in +-commutative sum-log distribute-lft-in
Counts
3 → 51
Calls
3 calls:
9.0ms
(+ (* 1/6 x) 1/2)
30.0ms
(* x (+ (* 1/6 x) 1/2))
5.0ms
(* 1/6 x)

series188.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(+ (* 1/6 x) 1/2)
104.0ms
(* x (+ (* 1/6 x) 1/2))
19.0ms
(* 1/6 x)

simplify3.4s

Counts
60 → 60
Iterations
IterNodes
done5004
33796
2700
1224
077

prune234.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (exp x) x)
3.2b
(- (/ (exp x) x) (/ 1.0 x))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×*-un-lft-identity
19×times-frac
12×add-cube-cbrt
add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
associate-/r* add-exp-log div-inv associate-/l*
pow1
cbrt-undiv clear-num sub-neg frac-2neg flip3-- distribute-rgt-out-- diff-log div-exp frac-sub flip-- sub-div
Counts
2 → 50
Calls
2 calls:
11.0ms
(/ (exp x) x)
49.0ms
(- (/ (exp x) x) (/ 1.0 x))

series94.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (exp x) x)
66.0ms
(- (/ (exp x) x) (/ 1.0 x))

simplify1.6s

Counts
56 → 56
Iterations
IterNodes
done5001
31805
2602
1226
0105

prune264.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.6b
(- (exp x) 1.0)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
add-log-exp
pow1 add-cbrt-cube add-exp-log
pow1/3
sub-neg flip3-- diff-log flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 47
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
17.0ms
(- (exp x) 1.0)

series848.0ms

Counts
4 → 12
Calls
4 calls:
303.0ms
(cbrt x)
299.0ms
(cbrt x)
220.0ms
(cbrt x)
26.0ms
(- (exp x) 1.0)

simplify1.6s

Counts
59 → 59
Iterations
IterNodes
done5002
41842
3680
2284
1123
062

prune311.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes37.0ms

Accuracy

97.6% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.4b

bsearch28.0ms

Steps
ItersRangePoint
8
-2980.3304644899954
-8.1353853441046
-731.1697091805538

simplify3.0ms

Iterations
IterNodes
done24
124
018

end0.0ms

sample1.7s

Algorithm
intervals
Results
738.0ms2249×body1280valid
334.0ms5531×body80valid
304.0ms1655×body640valid
103.0ms838×body320valid
32.0ms423×body160valid