Details

Time bar (total: 6.9s)

sample26.0ms

Algorithm
intervals
Results
10.0ms271×body80valid

simplify108.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0238
1378
2658
3948
41088
51328
62018
73598
88258
932128
1050018
done50018

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.0b
(* z (- b y))
0.5b
(+ (* x y) (* z (- t a)))
25.5b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
10×add-exp-log associate-*r* add-cbrt-cube
9×times-frac
8×pow1
6×distribute-rgt-in sub-neg distribute-lft-in associate-*l* add-log-exp
4×associate-+r+ associate-*r/
3×flip3-+ associate-/r* flip-+ associate-/l*
2×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 98
Calls
4 calls:
19.0ms
(* z (- t a))
23.0ms
(* z (- b y))
9.0ms
(+ (* x y) (* z (- t a)))
30.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series430.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* z (- t a))
34.0ms
(* z (- b y))
43.0ms
(+ (* x y) (* z (- t a)))
317.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify47.0ms

Counts
110 → 110
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0401714
11759659
25001659
done5001659

prune276.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 25.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.5b
(+ (* x y) (* z (- t a)))
0.6b
(/ 1 (+ y (* z (- b y))))
25.2b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
25×*-un-lft-identity
22×add-cube-cbrt
20×times-frac associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
6×associate-*l* add-log-exp
5×flip3-+ prod-exp flip-+
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in div-exp associate-/r/ unswap-sqr
3×associate-*r/ associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative flip3-- pow-flip frac-2neg clear-num sum-log un-div-inv flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 116
Calls
4 calls:
20.0ms
(* z (- b y))
12.0ms
(+ (* x y) (* z (- t a)))
10.0ms
(/ 1 (+ y (* z (- b y))))
39.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series482.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* z (- b y))
46.0ms
(+ (* x y) (* z (- t a)))
81.0ms
(/ 1 (+ y (* z (- b y))))
320.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify61.0ms

Counts
128 → 128
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0449957
12234849
25001823
done5001823

prune289.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 25.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
25.5b
(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- b y)))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
33.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- b y)))))

series930.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt z)
172.0ms
(cbrt z)
177.0ms
(cbrt z)
401.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- b y)))))

simplify35.0ms

Counts
76 → 76
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0246768
1968703
25001695
done5001695

prune350.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 25.5b

localize28.0ms

Local error

Found 4 expressions with local error:

15.5b
(cbrt (+ y (* z (- b y))))
15.5b
(cbrt (+ y (* z (- b y))))
15.5b
(cbrt (+ y (* z (- b y))))
19.9b
(/ (+ (* x y) (* z (- t a))) (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y))))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×flip3-+ flip-+
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
6.0ms
(cbrt (+ y (* z (- b y))))
3.0ms
(cbrt (+ y (* z (- b y))))
3.0ms
(cbrt (+ y (* z (- b y))))
37.0ms
(/ (+ (* x y) (* z (- t a))) (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y))))))

series2.1s

Counts
4 → 12
Calls
4 calls:
255.0ms
(cbrt (+ y (* z (- b y))))
245.0ms
(cbrt (+ y (* z (- b y))))
243.0ms
(cbrt (+ y (* z (- b y))))
1.3s
(/ (+ (* x y) (* z (- t a))) (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y))))))

simplify43.0ms

Counts
82 → 82
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04301194
112841085
250021042
done50021042

prune332.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 25.5b

regimes321.0ms

Accuracy

0% (0.7b remaining)

Error of 23.4b against oracle of 22.7b and baseline of 23.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0249
1249
done249

end0.0ms

sample718.0ms

Algorithm
intervals
Results
323.0ms8449×body80valid