Details

Time bar (total: 12.8s)

sample107.0ms

Algorithm
intervals
Results
15.0ms331×body80valid

simplify29.0ms

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

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite259.0ms

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:
255.0ms
(* (+ x y) z)

series90.0ms

Counts
1 → 3
Calls
1 calls:
90.0ms
(* (+ x y) z)

simplify4.6s

Counts
26 → 26
Iterations

Useful iterations: 2 (157.0ms)

IterNodesCost
047190
1111185
2377163
31143163
44461163
done5000163

prune79.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

3.7b
(- (* x x) (* y y))
8.6b
(* (- (* x x) (* y y)) z)
19.1b
(/ (* (- (* 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:
9.0ms
(- (* x x) (* y y))
48.0ms
(* (- (* x x) (* y y)) z)
55.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

series190.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(- (* x x) (* y y))
67.0ms
(* (- (* x x) (* y y)) z)
71.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

simplify1.3s

Counts
80 → 80
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01221094
13091052
21304894
done5000878

prune183.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) z)
0.2b
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
4.4b
(sqrt (* (+ x y) z))
4.4b
(sqrt (* (+ x y) z))

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
16×sqrt-div
14×add-sqr-sqrt
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ flip-+
8×add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×sqrt-prod pow-sqr
4×expm1-log1p-u frac-times swap-sqr log1p-expm1-u add-log-exp
2×associate-*r/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 112
Calls
4 calls:
40.0ms
(* (+ x y) z)
124.0ms
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
18.0ms
(sqrt (* (+ x y) z))
17.0ms
(sqrt (* (+ x y) z))

series801.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (+ x y) z)
46.0ms
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
134.0ms
(sqrt (* (+ x y) z))
589.0ms
(sqrt (* (+ x y) z))

simplify3.5s

Counts
124 → 124
Iterations

Useful iterations: done (3.5s)

IterNodesCost
01281416
12701049
2860961
33021917
done5001905

prune319.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes94.0ms

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

sample772.0ms

Algorithm
intervals
Results
289.0ms10074×body80valid