Details

Time bar (total: 11.2s)

sample36.0ms

Algorithm
intervals
Results
24.0ms334×body80valid

simplify100.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize19.0ms

Local error

Found 3 expressions with local error:

4.2b
(* (/ x y) z)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
0.0b
(/ (+ x 4) y)

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-cbrt-cube add-exp-log distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-/r* associate-*r* associate-*l/ insert-posit16 log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 120
Calls
3 calls:
Slowest
39.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
31.0ms
(/ (+ x 4) y)
18.0ms
(* (/ x y) z)

series144.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
76.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
38.0ms
(* (/ x y) z)
31.0ms
(/ (+ x 4) y)

simplify466.0ms

Counts
162 → 129

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

5.2b
(* x (/ z y))
0.0b
(- (/ (+ x 4) y) (* x (/ z y)))
0.0b
(/ (+ x 4) y)

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*r*
10×add-cbrt-cube add-exp-log distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-/r* associate-*l* associate-*r/ insert-posit16 log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 120
Calls
3 calls:
Slowest
78.0ms
(- (/ (+ x 4) y) (* x (/ z y)))
18.0ms
(* x (/ z y))
14.0ms
(/ (+ x 4) y)

series115.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
53.0ms
(- (/ (+ x 4) y) (* x (/ z y)))
38.0ms
(/ (+ x 4) y)
23.0ms
(* x (/ z y))

simplify379.0ms

Counts
162 → 129

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

5.8b
(* (* x z) (/ 1 y))
0.0b
(- (/ (+ x 4) y) (* (* x z) (/ 1 y)))
0.0b
(/ (+ x 4) y)

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
45×times-frac
35×add-sqr-sqrt add-cube-cbrt
27×add-exp-log
17×add-cbrt-cube
16×fma-neg prod-diff
13×associate-*r*
12×prod-exp
10×distribute-lft-out
8×pow1
6×cbrt-unprod
5×div-exp div-inv add-log-exp
4×associate-/l*
3×expm1-log1p-u cbrt-undiv associate-/r* pow-prod-down associate-*r/ un-div-inv insert-posit16 log1p-expm1-u
2×rec-exp 1-exp frac-sub sub-div associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- distribute-rgt-out-- diff-log associate-*l* *-commutative flip-+ flip--
Counts
3 → 129
Calls
3 calls:
Slowest
85.0ms
(- (/ (+ x 4) y) (* (* x z) (/ 1 y)))
36.0ms
(* (* x z) (/ 1 y))
26.0ms
(/ (+ x 4) y)

series122.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
54.0ms
(- (/ (+ x 4) y) (* (* x z) (/ 1 y)))
37.0ms
(* (* x z) (/ 1 y))
30.0ms
(/ (+ x 4) y)

simplify568.0ms

Counts
169 → 138

prune1.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

8.3b
(sqrt (/ z y))
8.3b
(sqrt (/ z y))
0.1b
(* x (sqrt (/ z y)))
0.1b
(* (* x (sqrt (/ z y))) (sqrt (/ z y)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
54×sqrt-prod
48×add-sqr-sqrt
39×times-frac
35×*-un-lft-identity add-cube-cbrt
32×associate-*r*
13×pow1
11×add-cbrt-cube add-exp-log
7×sqrt-div
4×expm1-log1p-u rem-sqrt-square associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
3×unswap-sqr
2×sqrt-pow1 pow1/2 *-commutative
1×frac-times associate-*l/
Counts
4 → 130
Calls
4 calls:
Slowest
34.0ms
(* (* x (sqrt (/ z y))) (sqrt (/ z y)))
10.0ms
(* x (sqrt (/ z y)))
2.0ms
(sqrt (/ z y))
2.0ms
(sqrt (/ z y))

series215.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
62.0ms
(sqrt (/ z y))
60.0ms
(* x (sqrt (/ z y)))
58.0ms
(sqrt (/ z y))
34.0ms
(* (* x (sqrt (/ z y))) (sqrt (/ z y)))

simplify449.0ms

Counts
166 → 142

prune1.6s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes301.0ms

Accuracy

78.7% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.3b

bsearch105.0ms

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.8s10143×body80valid