Details

Time bar (total: 10.3s)

sample43.0ms

Algorithm
intervals
Results
15.0ms326×body80valid

simplify177.0ms

Counts
1 → 1
Iterations
IterNodes
done323
6323
5303
4168
382
242
116
07

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) (+ z 1.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×flip3-+ flip-+
5×add-sqr-sqrt
4×frac-times associate-*r* associate-*l*
3×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
2×associate-*l/ associate-*r/ distribute-lft-out
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 30
Calls
1 calls:
30.0ms
(* (+ x y) (+ z 1.0))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(* (+ x y) (+ z 1.0))

simplify611.0ms

Counts
33 → 33
Iterations
IterNodes
done5001
21316
1274
078

prune189.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* z (+ x y)) (* (+ x y) 1.0))
0.0b
(* z (+ x y))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity flip3-+ associate-*r/ flip-+
4×pow1 add-cbrt-cube associate-*r* associate-*l/ frac-add add-exp-log add-cube-cbrt add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in
1×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 40
Calls
2 calls:
18.0ms
(+ (* z (+ x y)) (* (+ x y) 1.0))
16.0ms
(* z (+ x y))

series106.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(+ (* z (+ x y)) (* (+ x y) 1.0))
51.0ms
(* z (+ x y))

simplify734.0ms

Counts
46 → 46
Iterations
IterNodes
done5000
21340
1316
096

prune292.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.0b
(sqrt (+ x y))
0.0b
(* (sqrt (+ x y)) (+ z 1.0))
0.2b
(* (sqrt (+ x y)) (* (sqrt (+ x y)) (+ z 1.0)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-div
35×flip3-+ flip-+
32×frac-times
21×*-un-lft-identity
17×add-sqr-sqrt sqrt-prod
16×associate-*r/
14×associate-*l*
13×pow1
11×add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*l/
5×distribute-rgt-in distribute-lft-in associate-*r* distribute-lft-out
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 118
Calls
4 calls:
7.0ms
(sqrt (+ x y))
6.0ms
(sqrt (+ x y))
43.0ms
(* (sqrt (+ x y)) (+ z 1.0))
68.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) (+ z 1.0)))

series282.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(sqrt (+ x y))
56.0ms
(sqrt (+ x y))
95.0ms
(* (sqrt (+ x y)) (+ z 1.0))
66.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) (+ z 1.0)))

simplify1.3s

Counts
130 → 130
Iterations
IterNodes
done5001
22901
1587
0189

prune694.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* z z) (- (* 1.0 1.0) (* z 1.0)))
0.2b
(* (sqrt (+ x y)) (/ (* (sqrt (+ y x)) (+ (pow z 3) (pow 1.0 3))) (+ (* z z) (- (* 1.0 1.0) (* z 1.0)))))
0.2b
(* (sqrt (+ y x)) (+ (pow z 3) (pow 1.0 3)))
5.4b
(/ (* (sqrt (+ y x)) (+ (pow z 3) (pow 1.0 3))) (+ (* z z) (- (* 1.0 1.0) (* z 1.0))))

rewrite332.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
21×add-sqr-sqrt
20×add-cbrt-cube add-exp-log
18×associate-*r*
17×flip3-+ flip-+
16×sqrt-div
14×associate-*l*
13×add-cube-cbrt
10×frac-times sqrt-prod
9×add-log-exp
8×pow1 associate-/l/
7×distribute-lft-out
6×times-frac associate-*l/ prod-exp cbrt-unprod
5×associate-*r/
4×cbrt-undiv unpow-prod-down cube-prod div-exp associate-/r/ unswap-sqr
3×associate-/r*
2×associate-+r+ sum-log pow-prod-down *-commutative div-inv
1×distribute-rgt-in +-commutative clear-num associate-+r- sub-neg frac-2neg distribute-lft-in diff-log sum-cubes associate-/l*
Counts
4 → 123
Calls
4 calls:
17.0ms
(+ (* z z) (- (* 1.0 1.0) (* z 1.0)))
150.0ms
(* (sqrt (+ x y)) (/ (* (sqrt (+ y x)) (+ (pow z 3) (pow 1.0 3))) (+ (* z z) (- (* 1.0 1.0) (* z 1.0)))))
98.0ms
(* (sqrt (+ y x)) (+ (pow z 3) (pow 1.0 3)))
63.0ms
(/ (* (sqrt (+ y x)) (+ (pow z 3) (pow 1.0 3))) (+ (* z z) (- (* 1.0 1.0) (* z 1.0))))

series711.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ (* z z) (- (* 1.0 1.0) (* z 1.0)))
212.0ms
(* (sqrt (+ x y)) (/ (* (sqrt (+ y x)) (+ (pow z 3) (pow 1.0 3))) (+ (* z z) (- (* 1.0 1.0) (* z 1.0)))))
139.0ms
(* (sqrt (+ y x)) (+ (pow z 3) (pow 1.0 3)))
325.0ms
(/ (* (sqrt (+ y x)) (+ (pow z 3) (pow 1.0 3))) (+ (* z z) (- (* 1.0 1.0) (* z 1.0))))

simplify2.4s

Counts
135 → 135
Iterations
IterNodes
done5000
24978
1815
0260

prune952.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes327.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample849.0ms

Algorithm
intervals
Results
373.0ms10088×body80valid
0.0ms1×body320valid
0.0ms1×body1280valid