Details

Time bar (total: 16.3s)

sample38.0ms

Algorithm
intervals
Results
16.0ms266×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01417
12317
23717
36517
410217
513817
616417
723317
851517
9141417
done500017

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.0b
(* z (- b y))
2.0b
(+ (* x y) (* z (- t a)))
27.3b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
9×times-frac
8×add-exp-log associate-+r+ add-cbrt-cube add-log-exp
6×pow1 distribute-rgt-in sub-neg distribute-lft-in
5×associate-*r*
4×flip3-+ flip-+
3×associate-*l* associate-/r* associate-/l*
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 87
Calls
4 calls:
11.0ms
(+ y (* z (- b y)))
32.0ms
(* z (- b y))
12.0ms
(+ (* x y) (* z (- t a)))
53.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series534.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ y (* z (- b y)))
41.0ms
(* z (- b y))
49.0ms
(+ (* x y) (* z (- t a)))
412.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify920.0ms

Counts
99 → 99
Iterations

Useful iterations: 2 (205.0ms)

IterNodesCost
01461497
13751447
214641327
done50001327

prune362.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 27.6b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.3b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
2.0b
(+ (* x y) (* z (- t a)))
27.3b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite142.0ms

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×cbrt-undiv distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
3×associate-*l*
2×rec-exp frac-2neg 1-exp associate-*r/ clear-num associate-/l/
1×+-commutative flip3-- pow-flip pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 156
Calls
4 calls:
32.0ms
(* z (- b y))
39.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
15.0ms
(+ (* x y) (* z (- t a)))
47.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.5s

Counts
4 → 12
Calls
4 calls:
53.0ms
(* z (- b y))
1.0s
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
56.0ms
(+ (* x y) (* z (- t a)))
387.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify1.8s

Counts
168 → 168
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02444169
16493899
237913679
done50003677

prune482.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 27.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.3b
(/ 1 (+ (* z (- b y)) y))
2.0b
(+ (* x y) (* z (- t a)))
27.3b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ (* z (- b y)) y)))

rewrite191.0ms

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:
32.0ms
(* z (- b y))
35.0ms
(/ 1 (+ (* z (- b y)) y))
15.0ms
(+ (* x y) (* z (- t a)))
104.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ (* z (- b y)) y)))

series587.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* z (- b y))
81.0ms
(/ 1 (+ (* z (- b y)) y))
58.0ms
(+ (* x y) (* z (- t a)))
410.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ (* z (- b y)) y)))

simplify2.5s

Counts
128 → 128
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01762024
14851883
228081662
done50011656

prune455.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 27.6b

localize20.0ms

Local error

Found 4 expressions with local error:

17.1b
(cbrt (* z (- b y)))
17.1b
(cbrt (* z (- b y)))
17.1b
(cbrt (* z (- b y)))
27.3b
(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt (* z (- b y))) (cbrt (* z (- b y)))) (cbrt (* z (- b y))))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log cbrt-div associate-*r/ add-cbrt-cube
4×pow1 add-log-exp
3×cbrt-prod flip3-- pow1/3 associate-/r* flip-- 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:
8.0ms
(cbrt (* z (- b y)))
8.0ms
(cbrt (* z (- b y)))
8.0ms
(cbrt (* z (- b y)))
46.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt (* z (- b y))) (cbrt (* z (- b y)))) (cbrt (* z (- b y))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
233.0ms
(cbrt (* z (- b y)))
211.0ms
(cbrt (* z (- b y)))
213.0ms
(cbrt (* z (- b y)))
534.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt (* z (- b y))) (cbrt (* z (- b y)))) (cbrt (* z (- b y))))))

simplify720.0ms

Counts
76 → 76
Iterations

Useful iterations: done (715.0ms)

IterNodesCost
01292005
13201978
210861174
done50011156

prune433.0ms

Pruning

14 alts after pruning (10 fresh and 4 done)

Merged error: 27.6b

regimes858.0ms

Accuracy

0% (0.6b remaining)

Error of 23.5b against oracle of 22.9b and baseline of 23.5b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
11917
done1917

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.2s8441×body80valid