Details

Time bar (total: 13.2s)

sample22.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done8
18
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
16×times-frac
11×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
4×associate-/r* associate-/l*
3×add-cbrt-cube add-exp-log
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 43
Calls
1 calls:
39.0ms
(/ (+ x y) (+ y 1.0))

series60.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ (+ x y) (+ y 1.0))

simplify2.4s

Counts
46 → 46
Iterations
IterNodes
done5042
32544
2672
1204
081

prune144.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (/ (+ x y) (+ y 1.0)))
0.0b
(/ (+ x y) (+ y 1.0))
1.3b
(expm1 (log1p (/ (+ x y) (+ y 1.0))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
16×times-frac
13×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
5×add-cbrt-cube add-exp-log
4×expm1-log1p-u associate-/r* associate-/l*
3×pow1 insert-posit16 log1p-expm1-u add-log-exp
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p clear-num frac-2neg div-exp log1p-expm1 div-inv expm1-udef
Counts
3 → 67
Calls
3 calls:
1.0ms
(log1p (/ (+ x y) (+ y 1.0)))
31.0ms
(/ (+ x y) (+ y 1.0))
0.0ms
(expm1 (log1p (/ (+ x y) (+ y 1.0))))

series304.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(log1p (/ (+ x y) (+ y 1.0)))
38.0ms
(/ (+ x y) (+ y 1.0))
182.0ms
(expm1 (log1p (/ (+ x y) (+ y 1.0))))

simplify2.0s

Counts
76 → 76
Iterations
IterNodes
done5000
34082
21013
1348
0140

prune289.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x y) (+ y 1.0))
0.1b
(* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0)))
0.1b
(* (* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0))) (/ (+ x y) (+ y 1.0)))
20.7b
(cbrt (* (* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0))) (/ (+ x y) (+ y 1.0))))

rewrite377.0ms

Algorithm
rewrite-expression-head
Rules
255×*-un-lft-identity
141×times-frac
82×add-sqr-sqrt distribute-lft-out
67×add-cube-cbrt
59×add-cbrt-cube add-exp-log
44×associate-*r*
42×swap-sqr
30×pow1
23×associate-*l*
22×prod-exp cbrt-unprod
18×cbrt-undiv div-exp
12×associate-/r/
11×frac-times associate-*l/
7×cbrt-div flip3-+ pow-plus associate-*r/ pow-prod-up flip-+
6×div-inv unswap-sqr
4×expm1-log1p-u associate-/r* pow-prod-down insert-posit16 log1p-expm1-u associate-/l* add-log-exp
3×pow2 pow-sqr
2×pow3 *-commutative associate-/l/
1×cbrt-prod clear-num frac-2neg pow1/3 rem-cbrt-cube
Counts
4 → 254
Calls
4 calls:
24.0ms
(/ (+ x y) (+ y 1.0))
80.0ms
(* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0)))
127.0ms
(* (* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0))) (/ (+ x y) (+ y 1.0)))
135.0ms
(cbrt (* (* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0))) (/ (+ x y) (+ y 1.0))))

series238.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (+ x y) (+ y 1.0))
49.0ms
(* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0)))
83.0ms
(* (* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0))) (/ (+ x y) (+ y 1.0)))
67.0ms
(cbrt (* (* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0))) (/ (+ x y) (+ y 1.0))))

simplify2.0s

Counts
266 → 266
Iterations
IterNodes
done5003
22836
1903
0263

prune661.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (/ (+ x y) (+ y 1.0)))
0.4b
(cbrt (/ (+ x y) (+ y 1.0)))
0.4b
(* (cbrt (/ (+ x y) (+ y 1.0))) (cbrt (/ (+ x y) (+ y 1.0))))
20.7b
(cbrt (* (* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0))) (* (* (cbrt (/ (+ x y) (+ y 1.0))) (cbrt (/ (+ x y) (+ y 1.0)))) (cbrt (/ (+ x y) (+ y 1.0))))))

rewrite608.0ms

Algorithm
rewrite-expression-head
Rules
254×*-un-lft-identity
185×cbrt-prod
142×times-frac
94×add-sqr-sqrt
85×cbrt-div
80×distribute-lft-out
70×add-cube-cbrt
50×frac-times
45×swap-sqr
32×associate-*l/
28×associate-*r/
25×associate-*r* associate-*l*
12×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
6×flip3-+ add-exp-log flip-+ div-inv
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 239
Calls
4 calls:
9.0ms
(cbrt (/ (+ x y) (+ y 1.0)))
8.0ms
(cbrt (/ (+ x y) (+ y 1.0)))
90.0ms
(* (cbrt (/ (+ x y) (+ y 1.0))) (cbrt (/ (+ x y) (+ y 1.0))))
484.0ms
(cbrt (* (* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0))) (* (* (cbrt (/ (+ x y) (+ y 1.0))) (cbrt (/ (+ x y) (+ y 1.0)))) (cbrt (/ (+ x y) (+ y 1.0))))))

series513.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(cbrt (/ (+ x y) (+ y 1.0)))
141.0ms
(cbrt (/ (+ x y) (+ y 1.0)))
165.0ms
(* (cbrt (/ (+ x y) (+ y 1.0))) (cbrt (/ (+ x y) (+ y 1.0))))
67.0ms
(cbrt (* (* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0))) (* (* (cbrt (/ (+ x y) (+ y 1.0))) (cbrt (/ (+ x y) (+ y 1.0)))) (cbrt (/ (+ x y) (+ y 1.0))))))

simplify1.8s

Counts
251 → 251
Iterations
IterNodes
done5000
22211
1839
0368

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample535.0ms

Algorithm
intervals
Results
366.0ms8000×body80valid