Details

Time bar (total: 10.1s)

sample43.0ms

Algorithm
intervals
Results
19.0ms324×body80valid

simplify887.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
12011
24711
313011
433511
5118111
done500111

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (* 4.0 (- (- x y) (* z 0.5))) z)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv associate-*r/ div-exp associate-/l/
1×pow1 flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
101.0ms
(/ (* 4.0 (- (- x y) (* z 0.5))) z)

series89.0ms

Counts
1 → 3
Calls
1 calls:
89.0ms
(/ (* 4.0 (- (- x y) (* z 0.5))) z)

simplify845.0ms

Counts
26 → 26
Iterations

Useful iterations: done (843.0ms)

IterNodesCost
068406
1194395
2897323
done5001317

prune136.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 4.0 (/ (- x y) z))
0.0b
(/ (- x y) z)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
34.0ms
(* 4.0 (/ (- x y) z))
31.0ms
(/ (- x y) z)

series105.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(* 4.0 (/ (- x y) z))
40.0ms
(/ (- x y) z)

simplify672.0ms

Counts
82 → 82
Iterations

Useful iterations: 2 (202.0ms)

IterNodesCost
0114831
1294779
21268713
done5000713

prune372.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ x z) (/ y z))
0.0b
(* 4.0 (- (/ x z) (/ y z)))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×*-un-lft-identity
20×times-frac
12×associate-*r*
8×add-cube-cbrt distribute-lft-out-- difference-of-squares
4×pow1 add-exp-log associate-*r/ add-cbrt-cube div-inv add-log-exp
3×sub-neg associate-*l*
2×distribute-rgt-in flip3-- distribute-rgt-out-- distribute-lft-in frac-sub flip-- sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 58
Calls
2 calls:
39.0ms
(- (/ x z) (/ y z))
100.0ms
(* 4.0 (- (/ x z) (/ y z)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- (/ x z) (/ y z))
48.0ms
(* 4.0 (- (/ x z) (/ y z)))

simplify2.6s

Counts
64 → 64
Iterations

Useful iterations: done (2.6s)

IterNodesCost
0101731
1260711
2828653
34216653
done5001651

prune202.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (+ x y))
0.0b
(* 4.0 (/ (- (* x x) (* y y)) (* z (+ x y))))
2.1b
(- (* x x) (* y y))
27.4b
(/ (- (* x x) (* y y)) (* z (+ x y)))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
14×associate-*r*
13×*-un-lft-identity
11×add-cube-cbrt
8×pow1 times-frac
7×associate-*r/
6×associate-*l* prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv div-exp associate-/r/ associate-/l* difference-of-squares
3×flip3-+ flip-+
2×flip3-- pow-prod-down *-commutative flip-- div-inv associate-/l/ unswap-sqr
1×distribute-rgt-in sub-neg frac-2neg distribute-lft-in diff-log div-sub clear-num associate-/r* distribute-lft-out
Counts
4 → 94
Calls
4 calls:
32.0ms
(* z (+ x y))
67.0ms
(* 4.0 (/ (- (* x x) (* y y)) (* z (+ x y))))
13.0ms
(- (* x x) (* y y))
43.0ms
(/ (- (* x x) (* y y)) (* z (+ x y)))

series251.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* z (+ x y))
82.0ms
(* 4.0 (/ (- (* x x) (* y y)) (* z (+ x y))))
45.0ms
(- (* x x) (* y y))
84.0ms
(/ (- (* x x) (* y y)) (* z (+ x y)))

simplify1.5s

Counts
106 → 106
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01451549
14731518
229081284
done50011280

prune407.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11111
done1111

end0.0ms

sample1.3s

Algorithm
intervals
Results
515.0ms10132×body80valid