Details

Time bar (total: 26.7s)

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done5
15
04

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ y x))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 36
Calls
1 calls:
28.0ms
(/ x (+ y x))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ x (+ y x))

simplify5.0s

Counts
39 → 39
Iterations
IterNodes
done5000
31781
2416
1132
062

prune381.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize80.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (/ x (+ y x)))
0.0b
(expm1 (log1p (/ x (+ y x))))
0.0b
(/ x (+ y x))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×add-sqr-sqrt times-frac add-cube-cbrt
5×add-cbrt-cube add-exp-log
4×expm1-log1p-u associate-/r* distribute-lft-out
3×pow1 insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/
1×cbrt-undiv log1p-udef expm1-log1p clear-num frac-2neg flip3-+ div-exp log1p-expm1 flip-+ div-inv expm1-udef
Counts
3 → 60
Calls
3 calls:
3.0ms
(log1p (/ x (+ y x)))
2.0ms
(expm1 (log1p (/ x (+ y x))))
28.0ms
(/ x (+ y x))

series308.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(log1p (/ x (+ y x)))
147.0ms
(expm1 (log1p (/ x (+ y x))))
63.0ms
(/ x (+ y x))

simplify4.3s

Counts
69 → 69
Iterations
IterNodes
done5000
31902
2458
1163
085

prune714.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (log1p (log1p (/ x (+ y x)))))
0.0b
(log1p (/ x (+ y x)))
0.0b
(/ x (+ y x))
0.0b
(expm1 (expm1 (log1p (log1p (/ x (+ y x))))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
13×add-sqr-sqrt add-cube-cbrt
12×times-frac
6×add-cbrt-cube add-exp-log
5×expm1-log1p-u log1p-expm1-u
4×pow1 associate-/r* insert-posit16 distribute-lft-out add-log-exp
3×associate-/l*
2×expm1-log1p associate-/r/ expm1-udef
1×cbrt-undiv log1p-udef clear-num frac-2neg flip3-+ div-exp log1p-expm1 flip-+ div-inv
Counts
4 → 72
Calls
4 calls:
1.0ms
(expm1 (log1p (log1p (/ x (+ y x)))))
1.0ms
(log1p (/ x (+ y x)))
31.0ms
(/ x (+ y x))
3.0ms
(expm1 (expm1 (log1p (log1p (/ x (+ y x))))))

series768.0ms

Counts
4 → 12
Calls
4 calls:
250.0ms
(expm1 (log1p (log1p (/ x (+ y x)))))
112.0ms
(log1p (/ x (+ y x)))
81.0ms
(/ x (+ y x))
326.0ms
(expm1 (expm1 (log1p (log1p (/ x (+ y x))))))

simplify3.9s

Counts
84 → 84
Iterations
IterNodes
done5008
31747
2482
1178
097

prune921.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize122.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ y x))
0.1b
(* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x)))
0.1b
(* (/ x (+ y x)) (/ x (+ y x)))
12.9b
(cbrt (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))))

rewrite642.0ms

Algorithm
rewrite-expression-head
Rules
113×*-un-lft-identity
89×times-frac
72×add-sqr-sqrt
59×add-cbrt-cube add-exp-log
57×add-cube-cbrt
36×associate-*r*
30×pow1
25×distribute-lft-out
24×swap-sqr
22×prod-exp cbrt-unprod
19×associate-*l*
18×cbrt-undiv div-exp
12×associate-/r/
11×frac-times associate-*l/
7×cbrt-div pow-plus associate-*r/ pow-prod-up
6×flip3-+ flip-+ div-inv unswap-sqr
4×expm1-log1p-u associate-/r* pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×pow2 pow-sqr associate-/l*
2×pow3 *-commutative
1×cbrt-prod clear-num frac-2neg pow1/3 rem-cbrt-cube
Counts
4 → 217
Calls
4 calls:
36.0ms
(/ x (+ y x))
237.0ms
(* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x)))
147.0ms
(* (/ x (+ y x)) (/ x (+ y x)))
197.0ms
(cbrt (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))))

series403.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(/ x (+ y x))
160.0ms
(* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x)))
97.0ms
(* (/ x (+ y x)) (/ x (+ y x)))
77.0ms
(cbrt (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))))

simplify6.0s

Counts
229 → 229
Iterations
IterNodes
done5004
22746
1692
0211

prune1.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes358.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done9
19
08

end0.0ms

sample777.0ms

Algorithm
intervals
Results
473.0ms8000×body80valid