Details

Time bar (total: 26.8s)

sample82.0ms

Algorithm
intervals
Results
30.0ms134×pre10240exit
25.0ms256×body80valid
4.0ms122×pre80true

simplify19.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
110
06

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize44.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ x0 (- 1.0 x1))
7.5b
(- (/ x0 (- 1.0 x1)) x0)

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
22×*-un-lft-identity
16×times-frac
12×add-cube-cbrt
6×difference-of-squares
5×associate-/r* distribute-lft-out--
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/l*
2×pow1 flip3-- associate-/r/ insert-posit16 flip--
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp div-inv
Counts
2 → 54
Calls
2 calls:
43.0ms
(/ x0 (- 1.0 x1))
121.0ms
(- (/ x0 (- 1.0 x1)) x0)

series162.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(/ x0 (- 1.0 x1))
81.0ms
(- (/ x0 (- 1.0 x1)) x0)

simplify4.5s

Counts
60 → 60
Iterations
IterNodes
done5000
32734
2808
1266
0119

prune464.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 7.2b

localize177.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ x0 (- 1.0 x1))
0.7b
(* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1)))
0.7b
(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
5.6b
(- (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 (* x0 x0)))

rewrite509.0ms

Algorithm
rewrite-expression-head
Rules
47×add-cbrt-cube add-exp-log
40×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×pow1 add-cube-cbrt
21×associate-*r*
18×prod-exp cbrt-unprod
14×cbrt-undiv div-exp
11×add-log-exp
7×frac-times associate-*l/ distribute-lft-out-- difference-of-squares
6×pow-plus frac-add pow-prod-up
5×associate-/r* associate-*r/
4×flip3-+ associate-/r/ flip-+ insert-posit16
3×sum-log flip3-- pow-prod-down flip-- associate-/l*
2×pow2 pow3 pow-sqr div-inv unswap-sqr
1×difference-cubes +-commutative associate-+r+ clear-num sub-neg frac-2neg diff-log cube-unmult associate-*l* *-commutative
Counts
4 → 143
Calls
4 calls:
27.0ms
(/ x0 (- 1.0 x1))
202.0ms
(* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1)))
66.0ms
(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
203.0ms
(- (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 (* x0 x0)))

series500.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ x0 (- 1.0 x1))
128.0ms
(* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1)))
178.0ms
(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
146.0ms
(- (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 (* x0 x0)))

simplify6.3s

Counts
155 → 155
Iterations
IterNodes
done5009
24495
1866
0278

prune942.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.5b

localize161.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ x0 (- 1.0 x1))
0.7b
(/ x0 (- 1.0 x1))
0.7b
(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
5.6b
(- (/ (* x0 (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1)))) (- 1.0 x1)) (* x0 (* x0 x0)))

rewrite289.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt *-un-lft-identity
30×times-frac
24×add-cube-cbrt
11×add-log-exp
10×associate-/r*
8×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
6×frac-add associate-/l*
4×pow1 flip3-+ associate-/r/ flip-+ insert-posit16
3×sum-log flip3-- flip--
2×frac-times cbrt-undiv clear-num frac-2neg div-exp associate-*l/ associate-*r/ div-inv
1×+-commutative associate-+r+ sub-neg diff-log
Counts
4 → 109
Calls
4 calls:
21.0ms
(/ x0 (- 1.0 x1))
20.0ms
(/ x0 (- 1.0 x1))
62.0ms
(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
179.0ms
(- (/ (* x0 (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1)))) (- 1.0 x1)) (* x0 (* x0 x0)))

series338.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ x0 (- 1.0 x1))
49.0ms
(/ x0 (- 1.0 x1))
123.0ms
(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
120.0ms
(- (/ (* x0 (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1)))) (- 1.0 x1)) (* x0 (* x0 x0)))

simplify4.0s

Counts
121 → 121
Iterations
IterNodes
done5000
22756
1590
0200

prune867.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.5b

localize199.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (/ x0 (- 1.0 x1)) (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))))
0.7b
(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (cbrt (* (/ x0 (- 1.0 x1)) (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))))) x0)))
0.9b
(cbrt (* (/ x0 (- 1.0 x1)) (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1)))))
5.6b
(- (/ (* x0 (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1)))) (- 1.0 x1)) (* x0 (* x0 x0)))

rewrite473.0ms

Algorithm
rewrite-expression-head
Rules
45×add-cbrt-cube add-exp-log
22×add-sqr-sqrt
21×associate-*l*
19×*-un-lft-identity
18×pow1 prod-exp cbrt-unprod
16×times-frac
13×cbrt-undiv div-exp add-cube-cbrt
12×frac-times associate-*r/
11×add-log-exp
8×associate-*l/
7×cbrt-div
6×frac-add
5×pow-prod-up
4×flip3-+ flip-+ insert-posit16
3×sum-log pow-prod-down distribute-lft-out-- difference-of-squares
2×flip3-- cube-unmult associate-/r/ flip-- unswap-sqr
1×cbrt-prod pow2 +-commutative associate-+r+ sub-neg pow-plus pow1/3 diff-log associate-*r* pow-sqr *-commutative rem-cbrt-cube div-inv
Counts
4 → 118
Calls
4 calls:
133.0ms
(* (/ x0 (- 1.0 x1)) (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))))
60.0ms
(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (cbrt (* (/ x0 (- 1.0 x1)) (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))))) x0)))
95.0ms
(cbrt (* (/ x0 (- 1.0 x1)) (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1)))))
176.0ms
(- (/ (* x0 (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1)))) (- 1.0 x1)) (* x0 (* x0 x0)))

series401.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (/ x0 (- 1.0 x1)) (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))))
129.0ms
(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (cbrt (* (/ x0 (- 1.0 x1)) (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))))) x0)))
61.0ms
(cbrt (* (/ x0 (- 1.0 x1)) (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1)))))
117.0ms
(- (/ (* x0 (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1)))) (- 1.0 x1)) (* x0 (* x0 x0)))

simplify4.0s

Counts
130 → 130
Iterations
IterNodes
done5001
23241
1838
0292

prune788.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.5b

regimes259.0ms

Accuracy

0% (0.7b remaining)

Error of 6.2b against oracle of 5.5b and baseline of 6.2b

bsearch0.0ms

simplify13.0ms

Iterations
IterNodes
done27
127
020

end0.0ms

sample1.2s

Algorithm
intervals
Results
625.0ms4018×pre10240exit
308.0ms8000×body80valid
86.0ms3982×pre80true