Details

Time bar (total: 37.2s)

sample364.0ms

Algorithm
intervals
Results
118.0ms54×body1280valid
95.0ms60×body10240exit
74.0ms326×body80valid
35.0ms42×body640valid
10.0ms15×body320valid
3.0ms8×body160valid

simplify1.2s

Counts
1 → 1
Iterations
IterNodes
done2021
52021
41521
3381
2122
148
019

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize75.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* x (+ -1 eps)))
0.0b
(* x (+ -1 eps))
0.0b
(* x (+ -1 eps))
2.0b
(- (+ (exp (* x (+ -1 eps))) (/ (exp (* x (+ -1 eps))) eps)) (- (/ (exp (* x (- -1 eps))) eps) (exp (* x (- -1 eps)))))

rewrite275.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
18×add-log-exp
14×add-sqr-sqrt
8×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt
6×diff-log associate-*l* distribute-lft-out--
4×flip3-+ associate-*r/ frac-sub flip-+ insert-posit16 distribute-lft-out
3×distribute-rgt-in distribute-lft-in flip3-- flip--
2×sum-log sub-neg exp-sum pow-prod-down prod-exp *-commutative cbrt-unprod associate--r+ unswap-sqr
1×exp-prod exp-to-pow associate--l+ associate--r- difference-of-squares rem-exp-log
Counts
4 → 90
Calls
4 calls:
11.0ms
(exp (* x (+ -1 eps)))
25.0ms
(* x (+ -1 eps))
13.0ms
(* x (+ -1 eps))
225.0ms
(- (+ (exp (* x (+ -1 eps))) (/ (exp (* x (+ -1 eps))) eps)) (- (/ (exp (* x (- -1 eps))) eps) (exp (* x (- -1 eps)))))

series289.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(exp (* x (+ -1 eps)))
51.0ms
(* x (+ -1 eps))
51.0ms
(* x (+ -1 eps))
162.0ms
(- (+ (exp (* x (+ -1 eps))) (/ (exp (* x (+ -1 eps))) eps)) (- (/ (exp (* x (- -1 eps))) eps) (exp (* x (- -1 eps)))))

simplify1.1s

Counts
102 → 102
Iterations
IterNodes
done2000
22000
1507
0170

prune622.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (+ (exp (* (- eps 1) x)) (+ (- (/ (exp (* (- eps 1) x)) eps) (/ (exp (* x (- -1 eps))) eps)) (exp (* x (- -1 eps))))))
0.0b
(* (- eps 1) x)
0.0b
(* (- eps 1) x)
3.9b
(- (/ (exp (* (- eps 1) x)) eps) (/ (exp (* x (- -1 eps))) eps))

rewrite1.5s

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
34×*-un-lft-identity
16×add-log-exp
14×associate-*l*
11×add-cube-cbrt
10×times-frac
8×pow1 add-cbrt-cube add-exp-log difference-of-squares
7×distribute-lft-out--
6×exp-prod associate-*r*
5×sum-log distribute-lft-out
4×associate-*l/ insert-posit16 rem-exp-log
3×flip3-- flip--
2×diff-log difference-of-sqr-1 pow-prod-down prod-exp *-commutative cbrt-unprod div-inv unswap-sqr
1×associate-+r- sub-neg distribute-rgt-out-- exp-diff exp-sum frac-sub associate-+l- sub-div
Counts
4 → 94
Calls
4 calls:
1.4s
(exp (+ (exp (* (- eps 1) x)) (+ (- (/ (exp (* (- eps 1) x)) eps) (/ (exp (* x (- -1 eps))) eps)) (exp (* x (- -1 eps))))))
30.0ms
(* (- eps 1) x)
28.0ms
(* (- eps 1) x)
53.0ms
(- (/ (exp (* (- eps 1) x)) eps) (/ (exp (* x (- -1 eps))) eps))

series356.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(exp (+ (exp (* (- eps 1) x)) (+ (- (/ (exp (* (- eps 1) x)) eps) (/ (exp (* x (- -1 eps))) eps)) (exp (* x (- -1 eps))))))
38.0ms
(* (- eps 1) x)
30.0ms
(* (- eps 1) x)
95.0ms
(- (/ (exp (* (- eps 1) x)) eps) (/ (exp (* x (- -1 eps))) eps))

simplify1.7s

Counts
106 → 106
Iterations
IterNodes
done2002
32002
21365
1483
0196

prune673.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (exp 2) (* (* x x) x)) 2/3)
0.2b
(* (* x x) (exp 2))
7.8b
(+ (- (exp 2) (* (* x x) (exp 2))) (* (* (exp 2) (* (* x x) x)) 2/3))
11.9b
(log (+ (- (exp 2) (* (* x x) (exp 2))) (* (* (exp 2) (* (* x x) x)) 2/3)))

rewrite340.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1
23×add-cbrt-cube
19×add-exp-log
14×pow-prod-down
13×prod-exp cbrt-unprod
10×*-un-lft-identity
9×add-log-exp
8×add-sqr-sqrt
7×associate-*r* add-cube-cbrt
4×insert-posit16
3×log-prod
2×log-div associate-+l+ sum-log flip3-+ associate-*l* *-commutative flip-+ exp-lft-sqr unswap-sqr
1×pow2 +-commutative exp-prod sub-neg diff-log rem-log-exp log-pow associate-+l-
Counts
4 → 79
Calls
4 calls:
161.0ms
(* (* (exp 2) (* (* x x) x)) 2/3)
35.0ms
(* (* x x) (exp 2))
72.0ms
(+ (- (exp 2) (* (* x x) (exp 2))) (* (* (exp 2) (* (* x x) x)) 2/3))
69.0ms
(log (+ (- (exp 2) (* (* x x) (exp 2))) (* (* (exp 2) (* (* x x) x)) 2/3)))

series500.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (* (exp 2) (* (* x x) x)) 2/3)
80.0ms
(* (* x x) (exp 2))
93.0ms
(+ (- (exp 2) (* (* x x) (exp 2))) (* (* (exp 2) (* (* x x) x)) 2/3))
198.0ms
(log (+ (- (exp 2) (* (* x x) (exp 2))) (* (* (exp 2) (* (* x x) x)) 2/3)))

simplify1.3s

Counts
91 → 91
Iterations
IterNodes
done2000
32000
21373
1420
0155

prune420.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize116.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (- (exp 2) (* (* (exp 2) x) x)) (- (exp 2) (* (* (exp 2) x) x)))
12.2b
(+ (* (* (* (* (exp 2) x) x) x) (* (* (* (* (exp 2) x) x) x) (* (* (* (* (exp 2) x) x) x) 8/27))) (* (- (exp 2) (* (* (exp 2) x) x)) (* (- (exp 2) (* (* (exp 2) x) x)) (- (exp 2) (* (* (exp 2) x) x)))))
14.8b
(log (+ (* (- (exp 2) (* (* (exp 2) x) x)) (- (exp 2) (* (* (exp 2) x) x))) (* (* (exp 2) (* x (* x (* x 2/3)))) (- (* (exp 2) (* x (* x (* x 2/3)))) (- (exp 2) (* (* (exp 2) x) x))))))
15.6b
(log (+ (* (* (* (* (exp 2) x) x) x) (* (* (* (* (exp 2) x) x) x) (* (* (* (* (exp 2) x) x) x) 8/27))) (* (- (exp 2) (* (* (exp 2) x) x)) (* (- (exp 2) (* (* (exp 2) x) x)) (- (exp 2) (* (* (exp 2) x) x))))))

rewrite9.8s

Algorithm
rewrite-expression-head
Rules
26×flip3-- flip--
22×associate-*r/
20×log-div
16×frac-add
13×pow1
12×add-sqr-sqrt frac-times
10×distribute-rgt-in *-un-lft-identity distribute-lft-in add-cube-cbrt
8×associate-+r+ add-exp-log
6×log-prod sub-neg add-cbrt-cube associate-*l/ add-log-exp
4×insert-posit16
3×flip3-+ swap-sqr associate-*r* associate-*l* flip-+
2×rem-log-exp log-pow
1×pow2 +-commutative sum-log pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 104
Calls
4 calls:
46.0ms
(* (- (exp 2) (* (* (exp 2) x) x)) (- (exp 2) (* (* (exp 2) x) x)))
4.8s
(+ (* (* (* (* (exp 2) x) x) x) (* (* (* (* (exp 2) x) x) x) (* (* (* (* (exp 2) x) x) x) 8/27))) (* (- (exp 2) (* (* (exp 2) x) x)) (* (- (exp 2) (* (* (exp 2) x) x)) (- (exp 2) (* (* (exp 2) x) x)))))
298.0ms
(log (+ (* (- (exp 2) (* (* (exp 2) x) x)) (- (exp 2) (* (* (exp 2) x) x))) (* (* (exp 2) (* x (* x (* x 2/3)))) (- (* (exp 2) (* x (* x (* x 2/3)))) (- (exp 2) (* (* (exp 2) x) x))))))
4.6s
(log (+ (* (* (* (* (exp 2) x) x) x) (* (* (* (* (exp 2) x) x) x) (* (* (* (* (exp 2) x) x) x) 8/27))) (* (- (exp 2) (* (* (exp 2) x) x)) (* (- (exp 2) (* (* (exp 2) x) x)) (- (exp 2) (* (* (exp 2) x) x))))))

series1.7s

Counts
4 → 12
Calls
4 calls:
170.0ms
(* (- (exp 2) (* (* (exp 2) x) x)) (- (exp 2) (* (* (exp 2) x) x)))
399.0ms
(+ (* (* (* (* (exp 2) x) x) x) (* (* (* (* (exp 2) x) x) x) (* (* (* (* (exp 2) x) x) x) 8/27))) (* (- (exp 2) (* (* (exp 2) x) x)) (* (- (exp 2) (* (* (exp 2) x) x)) (- (exp 2) (* (* (exp 2) x) x)))))
418.0ms
(log (+ (* (- (exp 2) (* (* (exp 2) x) x)) (- (exp 2) (* (* (exp 2) x) x))) (* (* (exp 2) (* x (* x (* x 2/3)))) (- (* (exp 2) (* x (* x (* x 2/3)))) (- (exp 2) (* (* (exp 2) x) x))))))
707.0ms
(log (+ (* (* (* (* (exp 2) x) x) x) (* (* (* (* (exp 2) x) x) x) (* (* (* (* (exp 2) x) x) x) 8/27))) (* (- (exp 2) (* (* (exp 2) x) x)) (* (- (exp 2) (* (* (exp 2) x) x)) (- (exp 2) (* (* (exp 2) x) x))))))

simplify1.5s

Counts
116 → 116
Iterations
IterNodes
done2011
22011
11052
0318

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes113.0ms

Accuracy

0% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 1.0b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done25
125
019

end0.0ms

sample12.0s

Algorithm
intervals
Results
4.6s2056×body10240exit
2.6s9988×body80valid
2.4s1750×body1280valid
1.3s1266×body640valid
535.0ms621×body320valid
172.0ms328×body160valid