Details

Time bar (total: 14.1s)

sample45.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
14.0ms245×body80nan

simplify104.0ms

Counts
1 → 1
Iterations
IterNodes
done107
8107
7106
6104
593
470
354
236
121
011

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 6.0 (- x 1.0))
0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.1b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-cbrt-cube add-exp-log
9×*-un-lft-identity
8×add-log-exp
7×add-cube-cbrt
5×pow1 associate-*r*
4×associate-*r/
3×associate-/r* sum-log times-frac associate-*l* insert-posit16
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-+ flip3-- div-exp prod-exp associate-/r/ cbrt-unprod flip-+ flip-- associate-/l/
1×+-commutative associate-+l+ clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 67
Calls
3 calls:
25.0ms
(* 6.0 (- x 1.0))
36.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
55.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series229.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(* 6.0 (- x 1.0))
51.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
117.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.2s

Counts
76 → 76
Iterations
IterNodes
done5002
21311
1389
0137

prune276.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.1b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.1b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
1.0b
(cbrt (* (* (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))))

rewrite401.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×associate-/r* times-frac associate-*r/
7×cbrt-div
6×cbrt-undiv div-exp associate-/r/ associate-/l/
5×frac-times associate-*l/
4×pow1 insert-posit16 add-log-exp
3×clear-num frac-2neg flip3-+ flip3-- prod-exp cbrt-unprod flip-+ div-inv flip-- associate-/l*
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 96
Calls
4 calls:
44.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
41.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
44.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
270.0ms
(cbrt (* (* (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))))

series464.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
111.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
95.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
148.0ms
(cbrt (* (* (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))))

simplify1.3s

Counts
108 → 108
Iterations
IterNodes
done5001
21412
1403
0139

prune561.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (cbrt (* (* (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))))
1.0b
(cbrt (* (* (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))))
1.0b
(cbrt (* (* (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))))
1.0b
(cbrt (* (* (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))))

rewrite770.0ms

Algorithm
rewrite-expression-head
Rules
35×cbrt-div
20×frac-times associate-*l/
12×associate-*r/
8×cbrt-prod
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
3×pow3 rem-cbrt-cube
Counts
4 → 74
Calls
4 calls:
3.0ms
(cbrt (cbrt (* (* (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))))
245.0ms
(cbrt (* (* (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))))
263.0ms
(cbrt (* (* (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))))
257.0ms
(cbrt (* (* (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))))

series732.0ms

Counts
4 → 12
Calls
4 calls:
342.0ms
(cbrt (cbrt (* (* (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))))
150.0ms
(cbrt (* (* (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))))
122.0ms
(cbrt (* (* (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))))
118.0ms
(cbrt (* (* (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))))

simplify2.5s

Counts
86 → 86
Iterations
IterNodes
done5014
34609
21035
1333
0139

prune610.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x 1.0) (+ x 1.0))
0.1b
(* (/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))) (- (+ x 1.0) (* 4.0 (sqrt x))))
0.5b
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
16.4b
(/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))))

rewrite276.0ms

Algorithm
rewrite-expression-head
Rules
52×pow1
32×add-cbrt-cube add-exp-log
27×*-un-lft-identity
19×pow-prod-down
17×add-sqr-sqrt
15×associate-*l*
14×prod-exp cbrt-unprod
13×add-cube-cbrt
8×times-frac associate-*r*
7×swap-sqr
6×frac-times flip3-+ associate-*r/ flip-+ distribute-lft-out
5×flip3-- pow-sqr pow-prod-up flip--
4×distribute-rgt-in cbrt-undiv associate-/r* distribute-lft-in div-exp associate-/r/ insert-posit16 add-log-exp
3×pow-plus associate-*l/ *-commutative difference-of-squares
2×pow2 sub-neg associate--l+ div-inv unswap-sqr associate-/l/
1×clear-num frac-2neg associate-/l*
Counts
4 → 145
Calls
4 calls:
23.0ms
(* (+ x 1.0) (+ x 1.0))
174.0ms
(* (/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))) (- (+ x 1.0) (* 4.0 (sqrt x))))
28.0ms
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
50.0ms
(/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))))

series247.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (+ x 1.0) (+ x 1.0))
133.0ms
(* (/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))) (- (+ x 1.0) (* 4.0 (sqrt x))))
27.0ms
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
70.0ms
(/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))))

simplify2.0s

Counts
157 → 157
Iterations
IterNodes
done5011
23538
1833
0255

prune529.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done23
123
017

end0.0ms

sample1.4s

Algorithm
intervals
Results
824.0ms8000×body80valid
433.0ms7851×body80nan