Details

Time bar (total: 12.9s)

sample103.0ms

Algorithm
intervals
Results
13.0ms331×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
175
2155
done155

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
associate-*l*
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
associate-*l/
flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
50.0ms
(* (+ x y) z)

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(* (+ x y) z)

simplify4.1s

Counts
24 → 24
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
045178
1107175
2359151
31064151
44014151
done5000151

prune86.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (+ x y) (sqrt z))
0.1b
(* (* (+ x y) (sqrt z)) (sqrt z))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r*
11×add-sqr-sqrt
pow1 add-exp-log *-un-lft-identity add-cbrt-cube
add-cube-cbrt sqrt-prod
associate-*l/
associate-*l*
pow-prod-down prod-exp cbrt-unprod
flip3-+ *-commutative flip-+ add-log-exp unswap-sqr
distribute-lft-out
Counts
2 → 48
Calls
2 calls:
45.0ms
(* (+ x y) (sqrt z))
81.0ms
(* (* (+ x y) (sqrt z)) (sqrt z))

series143.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(* (+ x y) (sqrt z))
54.0ms
(* (* (+ x y) (sqrt z)) (sqrt z))

simplify1.8s

Counts
54 → 54
Iterations

Useful iterations: 3 (956.0ms)

IterNodesCost
081579
1208461
2679401
32193393
done5002393

prune191.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

3.7b
(- (* x x) (* y y))
11.1b
(* (- (* x x) (* y y)) z)
19.5b
(/ (* (- (* x x) (* y y)) z) (- x y))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
add-cube-cbrt
pow1 times-frac associate-/r* add-log-exp
flip3-- associate-*l* associate-*l/ flip-- difference-of-squares
associate-*r*
cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out--
sub-neg frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
10.0ms
(- (* x x) (* y y))
56.0ms
(* (- (* x x) (* y y)) z)
62.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

series207.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(- (* x x) (* y y))
82.0ms
(* (- (* x x) (* y y)) z)
65.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

simplify1.5s

Counts
72 → 72
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01131012
1294977
21255819
done5000803

prune256.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) z)
3.7b
(- (* x x) (* y y))
30.6b
(/ (- (* x x) (* y y)) (/ (- x y) z))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
166×times-frac
116×add-sqr-sqrt *-un-lft-identity
78×add-cube-cbrt
40×difference-of-squares
22×associate-/r*
19×distribute-lft-out--
10×add-exp-log add-cbrt-cube
associate-/l*
div-inv
add-log-exp
cbrt-undiv div-exp associate-/l/
pow1 flip3-- flip--
frac-2neg div-sub clear-num
sub-neg diff-log associate-/r/
Counts
3 → 168
Calls
3 calls:
22.0ms
(/ (- x y) z)
10.0ms
(- (* x x) (* y y))
52.0ms
(/ (- (* x x) (* y y)) (/ (- x y) z))

series161.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (- x y) z)
40.0ms
(- (* x x) (* y y))
83.0ms
(/ (- (* x x) (* y y)) (/ (- x y) z))

simplify2.2s

Counts
177 → 177
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02603520
17383347
227282981
done50002969

prune526.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes164.0ms

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
055
175
done75

end0.0ms

sample860.0ms

Algorithm
intervals
Results
322.0ms10079×body80valid