Details

Time bar (total: 32.1s)

sample461.0ms

Algorithm
intervals
Results
145.0ms82×body2560valid
128.0ms59×body10240exit
106.0ms108×body1280valid
41.0ms32×body640valid
13.0ms315×pre80true
6.0ms12×body320valid
2.0ms15×body80valid
2.0msbody160valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
54055
4686
3213
296
141
017

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.6b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
3.0b
(- (exp (* a eps)) 1)
4.5b
(- (exp (* b eps)) 1)
5.2b
(- (exp (* (+ a b) eps)) 1)

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt add-cbrt-cube add-exp-log
13×*-un-lft-identity
10×flip3-- flip-- add-log-exp
associate-/r/
difference-of-squares
frac-times pow1 cbrt-undiv div-exp prod-exp associate-*r/ add-cube-cbrt cbrt-unprod insert-posit16
sub-neg diff-log difference-of-sqr-1 distribute-lft-out--
associate-*l/ associate-/l/
clear-num associate-/r* frac-2neg times-frac div-inv associate-/l*
Counts
4 → 83
Calls
4 calls:
54.0ms
(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
25.0ms
(- (exp (* a eps)) 1)
30.0ms
(- (exp (* b eps)) 1)
28.0ms
(- (exp (* (+ a b) eps)) 1)

series395.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
36.0ms
(- (exp (* a eps)) 1)
44.0ms
(- (exp (* b eps)) 1)
75.0ms
(- (exp (* (+ a b) eps)) 1)

simplify679.0ms

Counts
95 → 95
Iterations
IterNodes
22121
1488
0182

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (/ 1 a) (/ 1 b))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
distribute-lft-out
times-frac
div-inv
add-sqr-sqrt add-cube-cbrt add-log-exp
pow1 +-commutative sum-log flip3-+ add-cbrt-cube frac-add add-exp-log flip-+ insert-posit16
Counts
1 → 20
Calls
1 calls:
18.0ms
(+ (/ 1 a) (/ 1 b))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(+ (/ 1 a) (/ 1 b))

simplify856.0ms

Counts
23 → 23
Iterations
IterNodes
42330
3898
2363
1101
041

prune164.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 1 expressions with local error:

15.9b
(/ (+ b a) (* a b))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-cbrt-cube add-exp-log
times-frac associate-/l*
add-sqr-sqrt add-cube-cbrt
cbrt-undiv div-exp distribute-lft-out associate-/l/
pow1 clear-num associate-/r* frac-2neg flip3-+ prod-exp cbrt-unprod flip-+ insert-posit16 div-inv add-log-exp
Counts
1 → 26
Calls
1 calls:
25.0ms
(/ (+ b a) (* a b))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(/ (+ b a) (* a b))

simplify3.7s

Counts
29 → 29
Iterations
IterNodes
46147
31932
2534
1147
057

prune201.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ b a) a)
6.0b
(/ (/ (+ b a) a) b)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
20×associate-/l*
16×distribute-lft-out
add-cbrt-cube add-exp-log
associate-/r* div-inv
cbrt-undiv div-exp
associate-/l/
pow1 clear-num frac-2neg insert-posit16 add-log-exp
flip3-+ flip-+
Counts
2 → 117
Calls
2 calls:
25.0ms
(/ (+ b a) a)
31.0ms
(/ (/ (+ b a) a) b)

series81.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (+ b a) a)
50.0ms
(/ (/ (+ b a) a) b)

simplify824.0ms

Counts
123 → 123
Iterations
IterNodes
32684
2905
1379
0167

prune855.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes221.0ms

Accuracy

0% (3.1b remaining)

Error of 3.2b against oracle of 0.1b and baseline of 3.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
27
17
06

end0.0ms

sample19.9s

Algorithm
intervals
Results
6.7s2561×body2560valid
5.6s2032×body10240exit
5.2s3457×body1280valid
1.1s1115×body640valid
611.0ms10033×pre80true
189.0ms319×body320valid
107.0ms428×body80valid
49.0ms121×body160valid