Details

Time bar (total: 37.0s)

sample75.0ms

Algorithm
intervals
Results
34.0ms356×body80valid

simplify6.2s

Counts
1 → 1
Iterations
IterNodes
done5000
92079
8770
7485
6383
5291
4237
3152
273
127
09

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize74.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.3b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r* associate-*r/
3×pow-prod-down add-cube-cbrt
2×flip3-+ associate-/r/ flip-+ insert-posit16 add-log-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac associate-*l* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 53
Calls
2 calls:
102.0ms
(* (* z z) (+ z 1.0))
112.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series177.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(* (* z z) (+ z 1.0))
112.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify3.3s

Counts
59 → 59
Iterations
IterNodes
done5009
22071
1373
0114

prune590.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.0b

localize62.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.7b
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.2b
(/ x (* z z))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-cbrt-cube add-exp-log
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×insert-posit16 add-log-exp
2×clear-num frac-2neg flip3-+ flip-+
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 110
Calls
3 calls:
34.0ms
(/ y (+ z 1.0))
129.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
17.0ms
(/ x (* z z))

series196.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ y (+ z 1.0))
90.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
53.0ms
(/ x (* z z))

simplify4.0s

Counts
119 → 119
Iterations
IterNodes
done5006
22312
1536
0183

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 77
Calls
4 calls:
23.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
333.0ms
(* (cbrt x) (cbrt x))
227.0ms
(cbrt x)
251.0ms
(cbrt x)
257.0ms
(cbrt x)

simplify7.7s

Counts
89 → 89
Iterations
IterNodes
done5000
43734
31049
2353
1137
063

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize292.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (* (cbrt x) (cbrt x)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 44
Calls
4 calls:
5.0ms
(cbrt x)
5.0ms
(cbrt x)
22.0ms
(cbrt (* (cbrt x) (cbrt x)))
24.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.5s

Counts
4 → 12
Calls
4 calls:
315.0ms
(cbrt x)
307.0ms
(cbrt x)
473.0ms
(cbrt (* (cbrt x) (cbrt x)))
438.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify5.3s

Counts
56 → 56
Iterations
IterNodes
done5000
53831
41095
3419
2193
186
044

prune632.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (1.5b remaining)

Error of 1.6b against oracle of 0.1b and baseline of 1.6b

bsearch0.0ms

simplify16.0ms

Iterations
IterNodes
done21
121
017

end0.0ms

sample1.4s

Algorithm
intervals
Results
785.0ms10702×body80valid