Details

Time bar (total: 13.5s)

sample96.0ms

Algorithm
intervals
Results
11.0ms331×body80valid

simplify32.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
055
175
2155
3195
done195

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×associate-*l/
1×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
87.0ms
(* (+ x y) z)

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(* (+ x y) z)

simplify4.6s

Counts
26 → 26
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
047190
1111185
2377163
31143163
44461163
done5000163

prune73.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r*
11×add-sqr-sqrt
9×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
7×add-cube-cbrt sqrt-prod
6×associate-*l/
5×associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-+ *-commutative flip-+ log1p-expm1-u add-log-exp unswap-sqr
1×distribute-lft-out
Counts
2 → 52
Calls
2 calls:
32.0ms
(* (+ x y) (sqrt z))
49.0ms
(* (* (+ x y) (sqrt z)) (sqrt z))

series108.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* (+ x y) (sqrt z))
48.0ms
(* (* (+ x y) (sqrt z)) (sqrt z))

simplify2.2s

Counts
58 → 58
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
085613
1216486
2704426
32326419
done5001419

prune217.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

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))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-/r* add-log-exp
4×flip3-- associate-*l* associate-*l/ flip-- difference-of-squares
3×expm1-log1p-u associate-*r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out--
1×sub-neg frac-2neg fma-neg diff-log prod-diff pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 71
Calls
3 calls:
18.0ms
(- (* x x) (* y y))
47.0ms
(* (- (* x x) (* y y)) z)
45.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

series222.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(- (* x x) (* y y))
84.0ms
(* (- (* x x) (* y y)) z)
79.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

simplify1.5s

Counts
80 → 80
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01221094
13091052
21304894
done5000878

prune264.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

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))

rewrite105.0ms

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
9×associate-/l*
7×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u
2×frac-2neg div-sub clear-num
1×sub-neg fma-neg diff-log prod-diff associate-/r/
Counts
3 → 176
Calls
3 calls:
27.0ms
(/ (- x y) z)
18.0ms
(- (* x x) (* y y))
51.0ms
(/ (- (* x x) (* y y)) (/ (- x y) z))

series168.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (- x y) z)
54.0ms
(- (* x x) (* y y))
75.0ms
(/ (- (* x x) (* y y)) (/ (- x y) z))

simplify1.9s

Counts
185 → 185
Iterations

Useful iterations: 2 (845.0ms)

IterNodesCost
02693594
17543413
227903031
done50003031

prune630.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes160.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
done75

end0.0ms

sample867.0ms

Algorithm
intervals
Results
350.0ms10079×body80valid