Details

Time bar (total: 15.9s)

sample57.0ms

Algorithm
intervals
Results
27.0ms510×body80valid

simplify34.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
12415
24215
35415
done5415

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
17.4b
(/ (* z z) (* t t))
18.9b
(/ (* x x) (* y y))

rewrite67.0ms

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:
37.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
14.0ms
(/ (* z z) (* t t))
15.0ms
(/ (* x x) (* y y))

series165.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
28.0ms
(/ (* z z) (* t t))
28.0ms
(/ (* x x) (* y y))

simplify2.8s

Counts
64 → 64
Iterations

Useful iterations: 2 (586.0ms)

IterNodesCost
0113909
1430884
24325668
done5000668

prune131.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.7b

localize12.0ms

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)))
17.4b
(/ (* z z) (* t t))

rewrite43.0ms

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:
21.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (/ (* z z) (* t t)))
7.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
14.0ms
(/ (* z z) (* t t))

series121.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (/ (* z z) (* t t)))
9.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
33.0ms
(/ (* z z) (* t t))

simplify2.2s

Counts
66 → 66
Iterations

Useful iterations: done (2.2s)

IterNodesCost
095963
1329801
23165626
done5002613

prune205.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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))

rewrite73.0ms

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:
15.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
12.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
39.0ms
(* (/ z t) (/ z t))

series133.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
8.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
43.0ms
(* (/ z t) (/ z t))

simplify2.7s

Counts
112 → 112
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01551544
15461294
239751083
done50021056

prune448.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ z t) (/ z t))
0.5b
(pow (sqrt (fabs (/ x y))) 3)
10.7b
(sqrt (fabs (/ x y)))
10.7b
(sqrt (fabs (/ x y)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
40×times-frac
39×add-cube-cbrt *-un-lft-identity
17×add-exp-log add-cbrt-cube
15×pow1
13×swap-sqr associate-*r* associate-*l*
12×sqrt-prod
6×unpow-prod-down cube-prod
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
3×pow-unpow pow-pow sqrt-pow1 pow1/2
2×rem-sqrt-square
1×pow2 cube-mult frac-times pow-to-exp pow-plus unpow3 associate-*r/ pow-prod-down associate-*l/ pow-exp pow-sqr *-commutative pow-prod-up sqrt-pow2 rem-cube-cbrt sqr-pow
Counts
4 → 125
Calls
4 calls:
38.0ms
(* (/ z t) (/ z t))
6.0ms
(pow (sqrt (fabs (/ x y))) 3)
2.0ms
(sqrt (fabs (/ x y)))
2.0ms
(sqrt (fabs (/ x y)))

series110.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (/ z t) (/ z t))
40.0ms
(pow (sqrt (fabs (/ x y))) 3)
15.0ms
(sqrt (fabs (/ x y)))
15.0ms
(sqrt (fabs (/ x y)))

simplify3.0s

Counts
137 → 137
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01581473
15441270
236681155
done50011134

prune387.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes715.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01320
11520
done1520

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.5s15558×body80valid