Details

Time bar (total: 6.0s)

sample36.0ms

Algorithm
intervals
Results
20.0ms513×body80valid

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
12415
24215
35415
done5415

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
21.9b
(/ (* x x) (* y y))
23.4b
(/ (* z z) (* t t))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-cbrt-cube
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×*-un-lft-identity add-log-exp
3×pow1 add-sqr-sqrt add-cube-cbrt
2×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
1×+-commutative flip3-+ frac-add sum-log flip-+ distribute-lft-out
Counts
3 → 55
Calls
3 calls:
10.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
5.0ms
(/ (* x x) (* y y))
5.0ms
(/ (* z z) (* t t))

series141.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
25.0ms
(/ (* x x) (* y y))
26.0ms
(/ (* z z) (* t t))

simplify526.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (113.0ms)

IterNodesCost
0113909
1362856
21718664
done5000664

prune150.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (fabs (/ x y)) (fabs (/ x y))) (/ (* z z) (* t t)))
0.3b
(* (fabs (/ x y)) (fabs (/ x y)))
23.4b
(/ (* z z) (* t t))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
10×pow1
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv div-exp
3×swap-sqr associate-*r* associate-*l*
1×+-commutative pow2 frac-2neg flip3-+ times-frac pow-plus pow-prod-down clear-num associate-/r* sum-log pow-sqr *-commutative pow-prod-up flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 57
Calls
3 calls:
4.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (/ (* z z) (* t t)))
3.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
5.0ms
(/ (* z z) (* t t))

series104.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (/ (* z z) (* t t)))
7.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
30.0ms
(/ (* z z) (* t t))

simplify471.0ms

Counts
66 → 66
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
095963
1259760
21222619
done5000619

prune158.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
0.3b
(* (fabs (/ x y)) (fabs (/ x y)))
0.3b
(* (/ z t) (/ z t))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
40×times-frac
35×add-cube-cbrt *-un-lft-identity
17×pow1 add-exp-log add-cbrt-cube
16×swap-sqr associate-*r* associate-*l*
5×prod-exp cbrt-unprod add-log-exp unswap-sqr
4×cbrt-undiv div-exp div-inv
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×+-commutative frac-times flip3-+ associate-*r/ associate-*l/ sum-log flip-+
Counts
3 → 103
Calls
3 calls:
3.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
3.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
13.0ms
(* (/ z t) (/ z t))

series108.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
7.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
30.0ms
(* (/ z t) (/ z t))

simplify848.0ms

Counts
112 → 112
Iterations

Useful iterations: 2 (158.0ms)

IterNodesCost
01551544
14611247
220991059
done50001059

prune272.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fabs (/ x y))) (cbrt (fabs (/ x y))))
8.9b
(cbrt (fabs (/ x y)))
8.9b
(cbrt (fabs (/ x y)))
8.9b
(cbrt (fabs (/ x y)))

rewrite9.0ms

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×add-cbrt-cube 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 → 73
Calls
4 calls:
6.0ms
(* (cbrt (fabs (/ x y))) (cbrt (fabs (/ x y))))
0.0ms
(cbrt (fabs (/ x y)))
0.0ms
(cbrt (fabs (/ x y)))
1.0ms
(cbrt (fabs (/ x y)))

series170.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (cbrt (fabs (/ x y))) (cbrt (fabs (/ x y))))
43.0ms
(cbrt (fabs (/ x y)))
37.0ms
(cbrt (fabs (/ x y)))
42.0ms
(cbrt (fabs (/ x y)))

simplify1.2s

Counts
85 → 85
Iterations

Useful iterations: 3 (212.0ms)

IterNodesCost
050956
188865
2337707
31656677
done5000677

prune208.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

regimes566.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01526
11826
done1826

end0.0ms

sample924.0ms

Algorithm
intervals
Results
545.0ms15465×body80valid