Details

Time bar (total: 11.2s)

sample59.0ms

Algorithm
intervals
Results
28.0ms474×body80valid

simplify42.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
20.6b
(/ (* z z) (* t t))
20.8b
(/ (* x x) (* y y))

rewrite92.0ms

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:
35.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
36.0ms
(/ (* z z) (* t t))
20.0ms
(/ (* x x) (* y y))

series209.0ms

Counts
3 → 9
Calls
3 calls:
130.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
42.0ms
(/ (* z z) (* t t))
36.0ms
(/ (* x x) (* y y))

simplify743.0ms

Counts
64 → 64

prune198.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
0.4b
(* (/ z t) (/ z t))
20.8b
(/ (* x x) (* y y))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
41×times-frac
31×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
10×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×div-inv add-log-exp
4×unswap-sqr
3×frac-add
2×frac-times associate-*r/ associate-*l/
1×+-commutative pow2 frac-2neg flip3-+ pow-plus pow-prod-down clear-num associate-/r* sum-log pow-sqr *-commutative pow-prod-up flip-+ associate-/l*
Counts
3 → 102
Calls
3 calls:
33.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
34.0ms
(* (/ z t) (/ z t))
21.0ms
(/ (* x x) (* y y))

series209.0ms

Counts
3 → 9
Calls
3 calls:
142.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
27.0ms
(* (/ z t) (/ z t))
40.0ms
(/ (* x x) (* y y))

simplify1.1s

Counts
111 → 111

prune330.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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)))
0.4b
(* (/ z t) (/ z t))

rewrite68.0ms

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:
12.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
10.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
39.0ms
(* (/ z t) (/ z t))

series146.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
16.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
37.0ms
(* (/ z t) (/ z t))

simplify915.0ms

Counts
112 → 112

prune340.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ z t) (/ z t))
0.5b
(pow (sqrt (fabs (/ x y))) 3)
11.1b
(sqrt (fabs (/ x y)))
11.1b
(sqrt (fabs (/ x y)))

rewrite49.0ms

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:
32.0ms
(* (/ z t) (/ z t))
6.0ms
(pow (sqrt (fabs (/ x y))) 3)
2.0ms
(sqrt (fabs (/ x y)))
2.0ms
(sqrt (fabs (/ x y)))

series100.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (/ z t) (/ z t))
31.0ms
(pow (sqrt (fabs (/ x y))) 3)
13.0ms
(sqrt (fabs (/ x y)))
14.0ms
(sqrt (fabs (/ x y)))

simplify867.0ms

Counts
137 → 137

prune374.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

regimes712.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.1s

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.6s15369×body80valid