Details

Time bar (total: 16.7s)

sample158.0ms

Algorithm
intervals
Results
110.0ms183×body1280valid
14.0ms41×body640valid
13.0ms249×body80valid
5.0ms21×body320valid
1.0ms7×body160valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done5001
132937
121398
11876
10608
9394
8186
782
669
561
456
340
227
115
07

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 30.7b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2)
3.5b
(+ (- (exp x) 2) (exp (- x)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity add-log-exp
4×add-sqr-sqrt frac-add
3×flip3-- flip--
2×neg-sub0 exp-neg pow1 associate-+l+ sum-log sub-neg add-cbrt-cube exp-diff diff-log add-exp-log add-cube-cbrt insert-posit16 distribute-lft-out distribute-lft-out--
1×+-commutative flip3-+ associate-+l- flip-+ difference-of-squares
Counts
2 → 37
Calls
2 calls:
13.0ms
(- (exp x) 2)
46.0ms
(+ (- (exp x) 2) (exp (- x)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(- (exp x) 2)
73.0ms
(+ (- (exp x) 2) (exp (- x)))

simplify869.0ms

Counts
43 → 43
Iterations
IterNodes
done5001
2845
1218
093

prune165.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (* x x))
0.1b
(* (* (* x x) (* x x)) 1/12)
0.1b
(* (* x x) (* x x))
0.1b
(* (* x (* x x)) 1/360)

rewrite235.0ms

Algorithm
rewrite-expression-head
Rules
156×pow1
48×add-cbrt-cube add-exp-log
45×pow-prod-down
41×pow-prod-up
30×prod-exp cbrt-unprod
23×pow-sqr
19×pow-plus
14×pow2
9×add-sqr-sqrt
8×associate-*r*
7×*-un-lft-identity add-cube-cbrt
6×associate-*l*
4×*-commutative insert-posit16 add-log-exp
3×unswap-sqr
1×cube-unmult swap-sqr
Counts
4 → 140
Calls
4 calls:
24.0ms
(* x (* x x))
103.0ms
(* (* (* x x) (* x x)) 1/12)
29.0ms
(* (* x x) (* x x))
75.0ms
(* (* x (* x x)) 1/360)

series255.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* x (* x x))
76.0ms
(* (* (* x x) (* x x)) 1/12)
42.0ms
(* (* x x) (* x x))
68.0ms
(* (* x (* x x)) 1/360)

simplify2.2s

Counts
152 → 152
Iterations
IterNodes
done5002
22525
1365
0125

prune360.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (* (- (exp x) (+ 2 (/ (- 1) (exp x)))) (* (- (exp x) (+ 2 (/ (- 1) (exp x)))) (- (exp x) (+ 2 (/ (- 1) (exp x)))))))
3.3b
(- (exp x) (+ 2 (/ (- 1) (exp x))))
3.3b
(- (exp x) (+ 2 (/ (- 1) (exp x))))
3.3b
(- (exp x) (+ 2 (/ (- 1) (exp x))))

rewrite403.0ms

Algorithm
rewrite-expression-head
Rules
30×flip3-- flip--
28×frac-times
26×cbrt-div
19×*-un-lft-identity add-log-exp
14×associate-*r/
10×add-sqr-sqrt
9×associate--r-
8×associate-*l/
6×diff-log distribute-frac-neg distribute-lft-out--
4×pow1 add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16
3×neg-sub0 associate-+r- sum-log sub-neg div-sub unsub-neg distribute-lft-out associate--r+ difference-of-squares
1×cbrt-prod pow1/3 cube-unmult rem-cbrt-cube
Counts
4 → 100
Calls
4 calls:
268.0ms
(cbrt (* (- (exp x) (+ 2 (/ (- 1) (exp x)))) (* (- (exp x) (+ 2 (/ (- 1) (exp x)))) (- (exp x) (+ 2 (/ (- 1) (exp x)))))))
45.0ms
(- (exp x) (+ 2 (/ (- 1) (exp x))))
41.0ms
(- (exp x) (+ 2 (/ (- 1) (exp x))))
46.0ms
(- (exp x) (+ 2 (/ (- 1) (exp x))))

series369.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(cbrt (* (- (exp x) (+ 2 (/ (- 1) (exp x)))) (* (- (exp x) (+ 2 (/ (- 1) (exp x)))) (- (exp x) (+ 2 (/ (- 1) (exp x)))))))
92.0ms
(- (exp x) (+ 2 (/ (- 1) (exp x))))
80.0ms
(- (exp x) (+ 2 (/ (- 1) (exp x))))
94.0ms
(- (exp x) (+ 2 (/ (- 1) (exp x))))

simplify1.8s

Counts
112 → 112
Iterations
IterNodes
done5002
21115
1305
0155

prune541.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

3.3b
(- (exp x) (+ 2 (/ (- 1) (exp x))))
3.3b
(- (exp x) (+ 2 (/ (- 1) (exp x))))
3.3b
(- (exp x) (+ 2 (/ (- 1) (exp x))))
3.3b
(log (exp (- (exp x) (+ 2 (/ (- 1) (exp x))))))

rewrite263.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
19×add-log-exp
14×add-sqr-sqrt
12×associate--r-
8×log-prod distribute-frac-neg distribute-lft-out--
7×log-pow
6×exp-prod diff-log add-cube-cbrt
5×pow1 exp-sum
4×neg-sub0 associate-+r- sub-neg add-cbrt-cube div-sub unsub-neg add-exp-log insert-posit16 distribute-lft-out difference-of-squares
3×sum-log flip3-- flip-- associate--r+
1×log-div exp-diff rem-log-exp
Counts
4 → 88
Calls
4 calls:
29.0ms
(- (exp x) (+ 2 (/ (- 1) (exp x))))
51.0ms
(- (exp x) (+ 2 (/ (- 1) (exp x))))
54.0ms
(- (exp x) (+ 2 (/ (- 1) (exp x))))
127.0ms
(log (exp (- (exp x) (+ 2 (/ (- 1) (exp x))))))

series378.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(- (exp x) (+ 2 (/ (- 1) (exp x))))
90.0ms
(- (exp x) (+ 2 (/ (- 1) (exp x))))
118.0ms
(- (exp x) (+ 2 (/ (- 1) (exp x))))
83.0ms
(log (exp (- (exp x) (+ 2 (/ (- 1) (exp x))))))

simplify1.8s

Counts
100 → 100
Iterations
IterNodes
done5001
33416
2625
1202
092

prune566.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done17
117
011

end0.0ms

sample4.6s

Algorithm
intervals
Results
3.2s5681×body1280valid
619.0ms8197×body80valid
386.0ms1232×body640valid
142.0ms585×body320valid
40.0ms347×body160valid