Details

Time bar (total: 4.5s)

sample37.0ms

Algorithm
intervals
Results
13.0ms96×body1280valid
8.0ms90×body640valid
3.0ms365×pre80true
2.0ms44×body320valid
1.0ms116×body80valid
1.0ms19×body160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
172
272
done72

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize3.0ms

Local error

Found 1 expressions with local error:

5.7b
(- (exp x) 1.0)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity add-log-exp
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 14
Calls
1 calls:
10.0ms
(- (exp x) 1.0)

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(- (exp x) 1.0)

simplify54.0ms

Counts
17 → 17
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
08172
118567
249966
3139966
4500266
done500266

prune43.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b
(* x 1/6)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
11×associate-*l*
9×add-exp-log
7×add-cube-cbrt *-un-lft-identity
6×associate-*r* add-cbrt-cube
5×unswap-sqr
4×pow1 unpow-prod-down prod-exp
2×associate-*r/ *-commutative cbrt-unprod unpow2 add-log-exp sqr-pow
1×distribute-rgt-in pow-to-exp distribute-lft-in flip3-+ pow-prod-down pow-exp flip-+
Counts
2 → 49
Calls
2 calls:
32.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
6.0ms
(* x 1/6)

series88.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
15.0ms
(* x 1/6)

simplify40.0ms

Counts
55 → 55
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0247239
11168216
25001216
done5001216

prune100.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
0.0b
(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
0.0b
(pow (exp x) 3)
5.7b
(- (pow (exp x) 3) (pow 1.0 3))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
158×add-sqr-sqrt
88×*-un-lft-identity
80×difference-of-squares
75×times-frac
63×unpow-prod-down cube-prod
41×sqr-pow
38×add-cube-cbrt
25×associate-/l* distribute-lft-out--
8×add-log-exp
7×add-cbrt-cube
6×add-exp-log
5×pow1 difference-cubes
4×pow-pow
3×pow-unpow exp-prod associate-/r*
2×associate-+l+ flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative distribute-rgt-in cube-mult pow-to-exp sub-neg frac-2neg distribute-lft-in diff-log unpow3 div-sub div-exp pow-exp clear-num sum-log div-inv rem-cube-cbrt
Counts
4 → 193
Calls
4 calls:
23.0ms
(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
106.0ms
(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
7.0ms
(pow (exp x) 3)
29.0ms
(- (pow (exp x) 3) (pow 1.0 3))

series194.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
95.0ms
(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
29.0ms
(pow (exp x) 3)
37.0ms
(- (pow (exp x) 3) (pow 1.0 3))

simplify93.0ms

Counts
205 → 205
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
05963033
126062958
250022879
done50022879

prune381.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1 (sqrt (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))) (/ (- (pow (exp x) 3) (pow 1.0 3)) (sqrt (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))))
0.1b
(/ (- (pow (exp x) 3) (pow 1.0 3)) (sqrt (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))))
1.0b
(/ 1 (sqrt (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))))
5.7b
(- (pow (exp x) 3) (pow 1.0 3))

rewrite559.0ms

Algorithm
rewrite-expression-head
Rules
530×add-sqr-sqrt
358×times-frac
294×*-un-lft-identity
224×difference-of-squares
185×sqrt-prod
168×unpow-prod-down cube-prod
156×associate-*r*
148×add-cube-cbrt
112×sqr-pow
70×distribute-lft-out--
32×add-exp-log
28×associate-/l*
24×associate-*l*
20×add-cbrt-cube
15×unswap-sqr
14×difference-cubes
12×associate-/r*
11×div-exp
8×pow1 sqrt-div prod-exp associate-/r/
6×cbrt-undiv add-log-exp
4×flip3-+ cbrt-unprod flip-+ div-inv
3×rec-exp pow-flip 1-exp
2×flip3-- frac-2neg clear-num flip-- associate-/l/
1×frac-times sub-neg sqrt-pow1 pow1/2 diff-log div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 498
Calls
4 calls:
332.0ms
(* (/ 1 (sqrt (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))) (/ (- (pow (exp x) 3) (pow 1.0 3)) (sqrt (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))))
110.0ms
(/ (- (pow (exp x) 3) (pow 1.0 3)) (sqrt (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))))
46.0ms
(/ 1 (sqrt (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))))
33.0ms
(- (pow (exp x) 3) (pow 1.0 3))

series402.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (/ 1 (sqrt (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))) (/ (- (pow (exp x) 3) (pow 1.0 3)) (sqrt (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))))
183.0ms
(/ (- (pow (exp x) 3) (pow 1.0 3)) (sqrt (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))))
85.0ms
(/ 1 (sqrt (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))))
38.0ms
(- (pow (exp x) 3) (pow 1.0 3))

simplify107.0ms

Counts
510 → 510
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
0132010996
1500210378
done500210378

prune952.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes22.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135
done135

end0.0ms

sample1.1s

Algorithm
intervals
Results
469.0ms3406×body1280valid
208.0ms2495×body640valid
105.0ms12010×pre80true
64.0ms1233×body320valid
46.0ms4209×body80valid
21.0ms667×body160valid