Details

Time bar (total: 9.3s)

sample85.0ms

Algorithm
intervals
Results
12.0ms303×body80valid

simplify25.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0583
1783
21583
31983
done1983

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt
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:
37.0ms
(* (+ x y) z)

series57.0ms

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

simplify1.2s

Counts
26 → 26
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0474057
11153635
25263580
done50003530

prune129.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
2.9b
(cbrt (* (+ x y) z))
2.9b
(cbrt (* (+ x y) z))
2.9b
(cbrt (* (+ x y) z))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×pow-prod-down associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
33.0ms
(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
11.0ms
(cbrt (* (+ x y) z))
12.0ms
(cbrt (* (+ x y) z))
6.0ms
(cbrt (* (+ x y) z))

series695.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
159.0ms
(cbrt (* (+ x y) z))
160.0ms
(cbrt (* (+ x y) z))
128.0ms
(cbrt (* (+ x y) z))

simplify1.3s

Counts
92 → 92
Iterations

Useful iterations: done (1.2s)

IterNodesCost
014332429
135228344
2119227762
done500026847

prune574.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

2.5b
(- (* x x) (* y y))
10.9b
(* (- (* x x) (* y y)) z)
17.3b
(/ (* (- (* x x) (* y y)) z) (- x y))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-cbrt-cube add-exp-log
7×add-cube-cbrt
5×pow1 associate-/r* times-frac 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 distribute-lft-out-- associate-/l/
1×clear-num sub-neg frac-2neg fma-neg diff-log prod-diff pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 71
Calls
3 calls:
7.0ms
(- (* x x) (* y y))
22.0ms
(* (- (* x x) (* y y)) z)
24.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

series197.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- (* x x) (* y y))
79.0ms
(* (- (* x x) (* y y)) z)
78.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

simplify1.9s

Counts
80 → 80
Iterations

Useful iterations: 2 (529.0ms)

IterNodesCost
012222044
133918636
2207617471
done500217471

prune356.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (+ x y) (sqrt z))
0.2b
(* (* (+ x y) (sqrt z)) (sqrt z))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r*
11×add-sqr-sqrt
9×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
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:
37.0ms
(* (+ x y) (sqrt z))
61.0ms
(* (* (+ x y) (sqrt z)) (sqrt z))

series143.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* (+ x y) (sqrt z))
61.0ms
(* (* (+ x y) (sqrt z)) (sqrt z))

simplify1.3s

Counts
58 → 58
Iterations

Useful iterations: done (1.3s)

IterNodesCost
08512835
122510114
211249944
done50019669

prune350.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0598
1698
done698

end0.0ms

sample697.0ms

Algorithm
intervals
Results
338.0ms10111×body80valid