Details

Time bar (total: 12.5s)

sample26.0ms

Algorithm
intervals
Results
14.0ms302×body80valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5000
143876
131400
12529
11242
10137
9133
8125
7109
678
566
452
341
228
119
08

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ 1.0 x))
0.1b
(* (+ (/ x y) 1.0) (/ x (+ 1.0 x)))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*r*
9×add-cbrt-cube add-exp-log
8×distribute-lft-out
4×pow1 associate-/r* flip3-+ associate-*l* associate-/r/ flip-+
3×associate-/l*
2×frac-times cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative
Counts
2 → 75
Calls
2 calls:
9.0ms
(/ x (+ 1.0 x))
83.0ms
(* (+ (/ x y) 1.0) (/ x (+ 1.0 x)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ x (+ 1.0 x))
74.0ms
(* (+ (/ x y) 1.0) (/ x (+ 1.0 x)))

simplify1.4s

Counts
81 → 81
Iterations
IterNodes
done5002
22428
1378
0131

prune418.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x 1.0))
0.1b
(* (+ (/ x y) 1.0) (* x (/ 1 (+ x 1.0))))
0.1b
(* x (/ 1 (+ x 1.0)))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
31×add-exp-log
29×add-sqr-sqrt
26×times-frac
22×add-cube-cbrt
19×add-cbrt-cube associate-*r*
13×prod-exp
11×pow1
8×distribute-lft-out
7×associate-*l* cbrt-unprod
6×div-exp associate-*r/
5×flip3-+ flip-+
4×frac-times associate-/r* pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×associate-*l/ *-commutative div-inv
1×clear-num frac-2neg pow-flip inv-pow
Counts
3 → 109
Calls
3 calls:
9.0ms
(/ 1 (+ x 1.0))
86.0ms
(* (+ (/ x y) 1.0) (* x (/ 1 (+ x 1.0))))
29.0ms
(* x (/ 1 (+ x 1.0)))

series124.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ 1 (+ x 1.0))
56.0ms
(* (+ (/ x y) 1.0) (* x (/ 1 (+ x 1.0))))
43.0ms
(* x (/ 1 (+ x 1.0)))

simplify1.4s

Counts
118 → 118
Iterations
IterNodes
done5000
22623
1478
0165

prune426.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (/ x (+ 1.0 x)))
0.4b
(cbrt (/ x (+ 1.0 x)))
0.4b
(cbrt (/ x (+ 1.0 x)))
0.4b
(* (cbrt (/ x (+ 1.0 x))) (cbrt (/ x (+ 1.0 x))))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod
128×*-un-lft-identity
102×times-frac
92×add-sqr-sqrt
68×add-cube-cbrt
27×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 180
Calls
4 calls:
9.0ms
(cbrt (/ x (+ 1.0 x)))
9.0ms
(cbrt (/ x (+ 1.0 x)))
9.0ms
(cbrt (/ x (+ 1.0 x)))
85.0ms
(* (cbrt (/ x (+ 1.0 x))) (cbrt (/ x (+ 1.0 x))))

series921.0ms

Counts
4 → 12
Calls
4 calls:
263.0ms
(cbrt (/ x (+ 1.0 x)))
230.0ms
(cbrt (/ x (+ 1.0 x)))
226.0ms
(cbrt (/ x (+ 1.0 x)))
202.0ms
(* (cbrt (/ x (+ 1.0 x))) (cbrt (/ x (+ 1.0 x))))

simplify1.3s

Counts
192 → 192
Iterations
IterNodes
done5001
22056
1461
0218

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ (/ x y) 1.0) (/ x (+ x 1.0)))) (cbrt (* (+ (/ x y) 1.0) (/ x (+ x 1.0)))))
0.5b
(cbrt (* (+ (/ x y) 1.0) (/ x (+ x 1.0))))
0.5b
(cbrt (* (+ (/ x y) 1.0) (/ x (+ x 1.0))))
0.5b
(cbrt (* (+ (/ x y) 1.0) (/ x (+ x 1.0))))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
75×cbrt-div
55×frac-times
35×associate-*l/
30×flip3-+ flip-+
20×associate-*r/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 108
Calls
4 calls:
21.0ms
(* (cbrt (* (+ (/ x y) 1.0) (/ x (+ x 1.0)))) (cbrt (* (+ (/ x y) 1.0) (/ x (+ x 1.0)))))
18.0ms
(cbrt (* (+ (/ x y) 1.0) (/ x (+ x 1.0))))
29.0ms
(cbrt (* (+ (/ x y) 1.0) (/ x (+ x 1.0))))
31.0ms
(cbrt (* (+ (/ x y) 1.0) (/ x (+ x 1.0))))

series1.2s

Counts
4 → 12
Calls
4 calls:
295.0ms
(* (cbrt (* (+ (/ x y) 1.0) (/ x (+ x 1.0)))) (cbrt (* (+ (/ x y) 1.0) (/ x (+ x 1.0)))))
290.0ms
(cbrt (* (+ (/ x y) 1.0) (/ x (+ x 1.0))))
281.0ms
(cbrt (* (+ (/ x y) 1.0) (/ x (+ x 1.0))))
298.0ms
(cbrt (* (+ (/ x y) 1.0) (/ x (+ x 1.0))))

simplify629.0ms

Counts
120 → 120
Iterations
IterNodes
done5001
21701
1476
0217

prune539.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes99.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample648.0ms

Algorithm
intervals
Results
417.0ms9079×body80valid