Details

Time bar (total: 16.2s)

sample71.0ms

Algorithm
intervals
Results
27.0ms54×body1280valid
11.0ms33×body640valid
9.0ms133×body80valid
6.0ms27×body320valid
1.0ms9×body160valid

simplify2.8s

Counts
1 → 1
Iterations
IterNodes
done5001
83027
7794
6244
5100
450
329
222
118
09

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.9b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2 (+ 1 (exp (* -2 x))))
2.4b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
22×add-sqr-sqrt
15×times-frac
11×add-cube-cbrt
4×associate-/r* add-cbrt-cube add-exp-log distribute-lft-out add-log-exp difference-of-squares
3×associate-/l*
2×pow1 difference-of-sqr-1 associate-/r/ insert-posit16
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log div-exp flip-+ div-inv flip-- distribute-lft-out--
Counts
2 → 54
Calls
2 calls:
20.0ms
(/ 2 (+ 1 (exp (* -2 x))))
127.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series94.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ 2 (+ 1 (exp (* -2 x))))
70.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify1.6s

Counts
60 → 60
Iterations
IterNodes
done5018
31817
2579
1243
0107

prune315.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2 (+ 1 (exp (* x -2))))
2.4b
(- (/ 2 (+ 1 (exp (* x -2)))) 1)

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
22×add-sqr-sqrt
15×times-frac
11×add-cube-cbrt
4×associate-/r* add-cbrt-cube add-exp-log distribute-lft-out add-log-exp difference-of-squares
3×associate-/l*
2×pow1 difference-of-sqr-1 associate-/r/ insert-posit16
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log div-exp flip-+ div-inv flip-- distribute-lft-out--
Counts
2 → 54
Calls
2 calls:
26.0ms
(/ 2 (+ 1 (exp (* x -2))))
100.0ms
(- (/ 2 (+ 1 (exp (* x -2)))) 1)

series89.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ 2 (+ 1 (exp (* x -2))))
68.0ms
(- (/ 2 (+ 1 (exp (* x -2)))) 1)

simplify1.7s

Counts
60 → 60
Iterations
IterNodes
done5037
32086
2692
1248
0109

prune225.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (pow x 5) 2/15)
0.1b
(* x (* x x))
0.2b
(* -1/3 (* x (* x x)))
18.5b
(+ (* -1/3 (* x (* x x))) (* (pow x 5) 2/15))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
27×pow1
23×add-exp-log
20×add-cbrt-cube
15×add-sqr-sqrt
13×associate-*l*
12×prod-exp
10×cbrt-unprod
9×*-un-lft-identity pow-prod-down add-cube-cbrt
6×add-log-exp
5×associate-*r* pow-prod-up
4×unpow-prod-down insert-posit16 unswap-sqr
3×*-commutative
2×sqr-pow
1×pow2 pow-to-exp +-commutative sum-log flip3-+ pow-plus cube-unmult pow-exp pow-sqr flip-+
Counts
4 → 85
Calls
4 calls:
22.0ms
(* (pow x 5) 2/15)
31.0ms
(* x (* x x))
59.0ms
(* -1/3 (* x (* x x)))
54.0ms
(+ (* -1/3 (* x (* x x))) (* (pow x 5) 2/15))

series387.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (pow x 5) 2/15)
42.0ms
(* x (* x x))
62.0ms
(* -1/3 (* x (* x x)))
222.0ms
(+ (* -1/3 (* x (* x x))) (* (pow x 5) 2/15))

simplify1.4s

Counts
97 → 97
Iterations
IterNodes
done5000
21144
1321
0125

prune301.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (exp (* x -2)) (exp (* x -2)))
0.3b
(* (/ 2 (+ (exp (+ (+ (* x -2) (* x -2)) (* x -2))) 1)) (+ (* 1 1) (- (* (exp (* x -2)) (exp (* x -2))) (* 1 (exp (* x -2))))))
2.7b
(- (* (/ 2 (+ (exp (+ (+ (* x -2) (* x -2)) (* x -2))) 1)) (+ (* 1 1) (- (* (exp (* x -2)) (exp (* x -2))) (* 1 (exp (* x -2)))))) 1)
2.9b
(- (* (exp (* x -2)) (exp (* x -2))) (* 1 (exp (* x -2))))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
21×associate-*l*
20×add-log-exp
17×add-cube-cbrt
13×pow1 times-frac
12×exp-prod exp-to-pow
11×add-cbrt-cube
9×add-exp-log
7×associate-*r*
6×pow-prod-down
5×pow-sqr pow-prod-up
4×insert-posit16 distribute-lft-out
3×flip3-+ swap-sqr prod-exp cbrt-unprod flip-+ unswap-sqr
2×distribute-rgt-in frac-times sub-neg distribute-lft-in flip3-- diff-log associate--l+ associate-*r/ associate-/r/ *-commutative flip--
1×pow2 cbrt-undiv pow-plus distribute-rgt-out-- div-exp associate-*l/ div-inv
Counts
4 → 112
Calls
4 calls:
28.0ms
(* (exp (* x -2)) (exp (* x -2)))
898.0ms
(* (/ 2 (+ (exp (+ (+ (* x -2) (* x -2)) (* x -2))) 1)) (+ (* 1 1) (- (* (exp (* x -2)) (exp (* x -2))) (* 1 (exp (* x -2))))))
246.0ms
(- (* (/ 2 (+ (exp (+ (+ (* x -2) (* x -2)) (* x -2))) 1)) (+ (* 1 1) (- (* (exp (* x -2)) (exp (* x -2))) (* 1 (exp (* x -2)))))) 1)
16.0ms
(- (* (exp (* x -2)) (exp (* x -2))) (* 1 (exp (* x -2))))

series483.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (exp (* x -2)) (exp (* x -2)))
118.0ms
(* (/ 2 (+ (exp (+ (+ (* x -2) (* x -2)) (* x -2))) 1)) (+ (* 1 1) (- (* (exp (* x -2)) (exp (* x -2))) (* 1 (exp (* x -2))))))
297.0ms
(- (* (/ 2 (+ (exp (+ (+ (* x -2) (* x -2)) (* x -2))) 1)) (+ (* 1 1) (- (* (exp (* x -2)) (exp (* x -2))) (* 1 (exp (* x -2)))))) 1)
49.0ms
(- (* (exp (* x -2)) (exp (* x -2))) (* 1 (exp (* x -2))))

simplify2.2s

Counts
124 → 124
Iterations
IterNodes
done5000
22434
1755
0235

prune586.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes112.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.2b

bsearch113.0ms

Steps
ItersRangePoint
10
1.7877411926250683e-07
38910778292.312386
0.007393742180593579
9
-1.1375194732999505
-6.231393320517686e-07
-0.007801985501095653

simplify10.0ms

Iterations
IterNodes
done52
152
037

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.0s1718×body1280valid
324.0ms1267×body640valid
257.0ms4107×body80valid
89.0ms586×body320valid
33.0ms322×body160valid