Details

Time bar (total: 20.9s)

sample59.0ms

Algorithm
intervals
Results
22.0ms268×body80valid

simplify935.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
91412
8514
7233
6164
5138
4102
365
237
123
014

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.9b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.0b
(* z (- t a))
0.5b
(+ (* x y) (* z (- t a)))
21.1b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
10×add-cbrt-cube associate-*r* add-exp-log
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×associate-/r* flip3-+ flip-+ associate-/l*
2×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-- distribute-lft-out-- difference-of-squares unswap-sqr associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
4 → 98
Calls
4 calls:
24.0ms
(* z (- b y))
17.0ms
(* z (- t a))
9.0ms
(+ (* x y) (* z (- t a)))
50.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series517.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* z (- b y))
61.0ms
(* z (- t a))
58.0ms
(+ (* x y) (* z (- t a)))
360.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.1s

Counts
110 → 110
Iterations
IterNodes
done5002
21595
1428
0169

prune885.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 21.2b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.5b
(+ (* x y) (* z (- t a)))
0.6b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
20.8b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
62×add-sqr-sqrt
60×*-un-lft-identity
58×add-cube-cbrt
19×add-exp-log
18×associate-/r*
13×add-cbrt-cube
11×associate-/r/
8×div-exp
7×pow1 flip3-+ flip-+
6×div-inv associate-/l* add-log-exp
5×associate-*r*
4×distribute-rgt-in cbrt-undiv associate-+r+ sub-neg distribute-lft-in
3×associate-*l*
2×rec-exp clear-num frac-2neg 1-exp associate-*r/ associate-/l/
1×+-commutative sum-log flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod pow-flip flip-- distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 156
Calls
4 calls:
22.0ms
(* z (- t a))
13.0ms
(+ (* x y) (* z (- t a)))
29.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
28.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.6s

Counts
4 → 12
Calls
4 calls:
50.0ms
(* z (- t a))
53.0ms
(+ (* x y) (* z (- t a)))
1.1s
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
351.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify2.0s

Counts
168 → 168
Iterations
IterNodes
done5001
23331
1642
0241

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 21.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- b y))
0.5b
(cbrt (- b y))
0.6b
(* (cbrt (- b y)) (cbrt (- b y)))
21.1b
(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×*-un-lft-identity
38×cbrt-prod
22×add-cube-cbrt
16×cbrt-div
11×pow1
10×swap-sqr
9×times-frac
8×flip3-- pow1/3 associate-*r* associate-*l* add-exp-log flip-- distribute-lft-out--
6×add-cbrt-cube difference-of-squares
4×frac-times add-log-exp unswap-sqr
3×associate-/r* associate-/l*
2×flip3-+ pow-prod-down associate-*l/ associate-*r/ associate-/r/ pow-sqr pow-prod-up flip-+ associate-/l/
1×pow2 cbrt-undiv clear-num frac-2neg pow-plus div-exp prod-exp *-commutative cbrt-unprod div-inv
Counts
4 → 117
Calls
4 calls:
3.0ms
(cbrt (- b y))
3.0ms
(cbrt (- b y))
31.0ms
(* (cbrt (- b y)) (cbrt (- b y)))
44.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

series941.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt (- b y))
183.0ms
(cbrt (- b y))
162.0ms
(* (cbrt (- b y)) (cbrt (- b y)))
428.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

simplify1.3s

Counts
129 → 129
Iterations
IterNodes
done5002
21928
1486
0203

prune1.0s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 21.2b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t a))
0.6b
(cbrt (- t a))
0.6b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a))))))
20.8b
(/ (+ y (* z (- b y))) (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a)))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
62×add-sqr-sqrt *-un-lft-identity
58×add-cube-cbrt
18×associate-/r*
17×add-exp-log
11×add-cbrt-cube associate-/r/
10×cbrt-prod
8×div-exp
6×flip3-+ flip-+ div-inv associate-/l*
5×pow1
4×cbrt-undiv cbrt-div add-log-exp
2×rec-exp clear-num frac-2neg flip3-- pow1/3 1-exp flip-- distribute-lft-out-- difference-of-squares associate-/l/
1×pow-flip inv-pow
Counts
4 → 145
Calls
4 calls:
4.0ms
(cbrt (- t a))
5.0ms
(cbrt (- t a))
34.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a))))))
36.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a)))))

series1.9s

Counts
4 → 12
Calls
4 calls:
239.0ms
(cbrt (- t a))
238.0ms
(cbrt (- t a))
1.1s
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a))))))
388.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a)))))

simplify2.2s

Counts
157 → 157
Iterations
IterNodes
done5004
23303
1663
0255

prune1.4s

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 21.2b

regimes1.4s

Accuracy

0% (0.6b remaining)

Error of 24.0b against oracle of 23.3b and baseline of 24.0b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample1.9s

Algorithm
intervals
Results
694.0ms8428×body80valid