Details

Time bar (total: 33.5s)

sample400.0ms

Algorithm
intervals
Results
138.0ms88×body2560valid
117.0ms59×body10240exit
84.0ms101×body1280valid
22.0ms46×body640valid
8.0ms315×pre80true
4.0ms14×body320valid
1.0ms5×body80valid
0.0ms2×body160valid

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
done5000
54020
4765
3258
2101
140
017

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.7b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (- (exp (* (+ a b) eps)) 1.0) (- (exp (* eps a)) 1.0))
2.3b
(- (exp (* eps b)) 1.0)
4.2b
(- (exp (* eps a)) 1.0)
5.6b
(- (exp (* (+ a b) eps)) 1.0)

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt *-un-lft-identity
37×add-cube-cbrt
27×prod-diff
25×times-frac
15×distribute-lft-out-- difference-of-squares
10×add-log-exp
9×fma-neg
6×add-cbrt-cube add-exp-log
5×associate-/r* flip3-- flip-- associate-/l*
4×expm1-log1p-u pow1 log1p-expm1-u
3×sub-neg diff-log
2×associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp div-inv
Counts
4 → 138
Calls
4 calls:
55.0ms
(/ (- (exp (* (+ a b) eps)) 1.0) (- (exp (* eps a)) 1.0))
23.0ms
(- (exp (* eps b)) 1.0)
22.0ms
(- (exp (* eps a)) 1.0)
25.0ms
(- (exp (* (+ a b) eps)) 1.0)

series265.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(/ (- (exp (* (+ a b) eps)) 1.0) (- (exp (* eps a)) 1.0))
47.0ms
(- (exp (* eps b)) 1.0)
60.0ms
(- (exp (* eps a)) 1.0)
53.0ms
(- (exp (* (+ a b) eps)) 1.0)

simplify1.2s

Counts
150 → 150
Iterations
IterNodes
done5002
21901
1549
0223

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 53.7b

localize80.0ms

Local error

Found 4 expressions with local error:

5.6b
(- (exp (* (+ a b) eps)) 1.0)
12.6b
(* (* a a) (* (* eps eps) 1/2))
14.1b
(fma (pow a 3) (* (pow eps 3) 1/6) (fma eps a (* (* a a) (* (* eps eps) 1/2))))
14.6b
(/ (- (exp (* (+ a b) eps)) 1.0) (fma (pow a 3) (* (pow eps 3) 1/6) (fma eps a (* (* a a) (* (* eps eps) 1/2)))))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt *-un-lft-identity
27×add-cbrt-cube add-exp-log
25×pow1
21×add-cube-cbrt
15×times-frac pow-prod-down prod-exp cbrt-unprod
9×prod-diff
6×add-log-exp
5×associate-/l* distribute-lft-out-- difference-of-squares
4×expm1-log1p-u log1p-expm1-u
3×associate-/r* fma-neg
2×flip3-- flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub div-exp associate-*r* associate-*l* *-commutative fma-udef div-inv
Counts
4 → 108
Calls
4 calls:
16.0ms
(- (exp (* (+ a b) eps)) 1.0)
103.0ms
(* (* a a) (* (* eps eps) 1/2))
1.0ms
(fma (pow a 3) (* (pow eps 3) 1/6) (fma eps a (* (* a a) (* (* eps eps) 1/2))))
49.0ms
(/ (- (exp (* (+ a b) eps)) 1.0) (fma (pow a 3) (* (pow eps 3) 1/6) (fma eps a (* (* a a) (* (* eps eps) 1/2)))))

series601.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- (exp (* (+ a b) eps)) 1.0)
54.0ms
(* (* a a) (* (* eps eps) 1/2))
155.0ms
(fma (pow a 3) (* (pow eps 3) 1/6) (fma eps a (* (* a a) (* (* eps eps) 1/2))))
320.0ms
(/ (- (exp (* (+ a b) eps)) 1.0) (fma (pow a 3) (* (pow eps 3) 1/6) (fma eps a (* (* a a) (* (* eps eps) 1/2)))))

simplify2.3s

Counts
120 → 120
Iterations
IterNodes
done5002
23431
1582
0214

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 52.9b

localize53.0ms

Local error

Found 4 expressions with local error:

4.1b
(/ (/ (- (exp (* (+ a b) eps)) 1.0) (* a (+ eps (* (* a (* eps eps)) 1/2)))) (/ (- (exp (* eps b)) 1.0) eps))
5.6b
(- (exp (* (+ a b) eps)) 1.0)
5.9b
(* a (* eps eps))
14.6b
(/ (- (exp (* (+ a b) eps)) 1.0) (* a (+ eps (* (* a (* eps eps)) 1/2))))

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
494×times-frac
281×add-sqr-sqrt
280×*-un-lft-identity
162×add-cube-cbrt
59×distribute-lft-out-- difference-of-squares
43×associate-/r/
42×associate-*r/
35×add-cbrt-cube add-exp-log
34×div-inv
21×flip3-+ flip-+
20×associate-/r*
16×associate-/l*
15×cbrt-undiv div-exp
9×pow1 prod-diff
6×prod-exp cbrt-unprod add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×fma-neg div-sub associate-*l* pow-prod-down associate-/l/
2×clear-num frac-2neg flip3-- flip--
1×sub-neg diff-log associate-*r* *-commutative unswap-sqr
Counts
4 → 347
Calls
4 calls:
80.0ms
(/ (/ (- (exp (* (+ a b) eps)) 1.0) (* a (+ eps (* (* a (* eps eps)) 1/2)))) (/ (- (exp (* eps b)) 1.0) eps))
13.0ms
(- (exp (* (+ a b) eps)) 1.0)
20.0ms
(* a (* eps eps))
61.0ms
(/ (- (exp (* (+ a b) eps)) 1.0) (* a (+ eps (* (* a (* eps eps)) 1/2))))

series1.3s

Counts
4 → 12
Calls
4 calls:
1.0s
(/ (/ (- (exp (* (+ a b) eps)) 1.0) (* a (+ eps (* (* a (* eps eps)) 1/2)))) (/ (- (exp (* eps b)) 1.0) eps))
59.0ms
(- (exp (* (+ a b) eps)) 1.0)
47.0ms
(* a (* eps eps))
238.0ms
(/ (- (exp (* (+ a b) eps)) 1.0) (* a (+ eps (* (* a (* eps eps)) 1/2))))

simplify879.0ms

Counts
359 → 359
Iterations
IterNodes
done5001
12016
0599

prune2.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
15×times-frac
13×fma-def
10×add-sqr-sqrt add-cube-cbrt
7×distribute-lft-out
5×div-inv
3×add-log-exp
1×expm1-log1p-u pow1 +-commutative sum-log flip3-+ add-cbrt-cube frac-add add-exp-log flip-+ log1p-expm1-u
Counts
1 → 34
Calls
1 calls:
42.0ms
(+ (/ 1 a) (/ 1 b))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(+ (/ 1 a) (/ 1 b))

simplify2.3s

Counts
37 → 37
Iterations
IterNodes
done5000
32236
2439
1110
042

prune161.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes270.0ms

Accuracy

0% (3.4b remaining)

Error of 3.5b against oracle of 0.1b and baseline of 3.5b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done9
19
06

end0.0ms

sample15.7s

Algorithm
intervals
Results
5.2s2013×body10240exit
5.0s2650×body2560valid
4.0s3337×body1280valid
563.0ms1088×body640valid
291.0ms10016×pre80true
129.0ms358×body320valid
51.0ms463×body80valid
26.0ms107×body160valid