Details

Time bar (total: 20.9s)

sample28.0ms

Algorithm
intervals
Results
13.0ms358×body80valid

simplify4.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12711
27711
317411
426411
533111
640311
755111
8114511
9459511
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.1b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
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×add-cube-cbrt pow-prod-down
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
56.0ms
(* (* z z) (+ z 1.0))
43.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series178.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(* (* z z) (+ z 1.0))
113.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.2s

Counts
61 → 61
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0116898
1349826
21932663
done5000661

prune155.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
4.3b
(* (/ x (* z z)) (/ y (+ z 1.0)))
6.8b
(/ x (* z z))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
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×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 113
Calls
3 calls:
11.0ms
(/ y (+ z 1.0))
50.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.0ms
(/ x (* z z))

series160.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ y (+ z 1.0))
81.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
33.0ms
(/ x (* z z))

simplify1.7s

Counts
122 → 122
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01861549
14961460
218721271
done50001259

prune313.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
16.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
7.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
296.0ms
(* (cbrt x) (cbrt x))
275.0ms
(cbrt x)
267.0ms
(cbrt x)
229.0ms
(cbrt x)

simplify4.3s

Counts
93 → 93
Iterations

Useful iterations: done (4.3s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune295.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(pow (cbrt (cbrt x)) 2)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp unpow2 sqr-pow
Counts
4 → 72
Calls
4 calls:
1.0ms
(cbrt x)
7.0ms
(pow (cbrt (cbrt x)) 2)
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series1.5s

Counts
4 → 12
Calls
4 calls:
301.0ms
(cbrt x)
449.0ms
(pow (cbrt (cbrt x)) 2)
435.0ms
(cbrt (cbrt x))
314.0ms
(cbrt (cbrt x))

simplify3.3s

Counts
84 → 84
Iterations

Useful iterations: 4 (1.0s)

IterNodesCost
083560
1173490
2336454
3837441
43898426
done5001426

prune394.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes211.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01218
11518
done1518

end0.0ms

sample1.2s

Algorithm
intervals
Results
698.0ms10698×body80valid