Details

Time bar (total: 2.5s)

sample17.0ms

Algorithm
intervals
Results
6.0ms328×body80valid

simplify18.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1193
2283
3403
4503
5733
61023
71183
81453
91743
101903
111903
done1903

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) z)
0.0b
(+ x (/ (- y x) z))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
21×add-sqr-sqrt
15×times-frac
13×add-cube-cbrt
associate-/l*
add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
fma-def associate-/r*
pow1 expm1-log1p-u div-sub log1p-expm1-u associate-/l/
cbrt-undiv +-commutative associate-+r- flip3-- frac-2neg flip3-+ div-exp clear-num sum-log flip-- flip-+ div-inv distribute-lft-out
Counts
2 → 58
Calls
2 calls:
16.0ms
(/ (- y x) z)
21.0ms
(+ x (/ (- y x) z))

series55.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (- y x) z)
27.0ms
(+ x (/ (- y x) z))

simplify62.0ms

Counts
64 → 64
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0230286
1705273
23068273
35001273
done5001273

prune109.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ y z))
0.0b
(- (+ x (/ y z)) (/ x z))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
80×*-un-lft-identity
52×prod-diff
50×add-sqr-sqrt
45×add-cube-cbrt
37×times-frac
16×distribute-lft-out
add-log-exp
fma-neg div-inv
fma-def
pow1 add-exp-log expm1-log1p-u flip3-+ diff-log sum-log frac-sub add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out-- difference-of-squares
+-commutative sub-neg flip3-- associate--l+ flip--
Counts
2 → 95
Calls
2 calls:
10.0ms
(+ x (/ y z))
99.0ms
(- (+ x (/ y z)) (/ x z))

series42.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(+ x (/ y z))
26.0ms
(- (+ x (/ y z)) (/ x z))

simplify48.0ms

Counts
101 → 101
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04521584
114671108
25002997
done5002997

prune110.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ 1 z)))
0.2b
(* (- y x) (/ 1 z))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×*-un-lft-identity
13×associate-*r*
11×add-exp-log add-cube-cbrt times-frac
add-cbrt-cube
associate-*l*
pow1 prod-exp add-log-exp
fma-def unswap-sqr
expm1-log1p-u frac-times flip3-- div-exp associate-*l/ flip-- cbrt-unprod log1p-expm1-u
cbrt-undiv +-commutative rec-exp flip3-+ 1-exp associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 60
Calls
2 calls:
7.0ms
(+ x (* (- y x) (/ 1 z)))
30.0ms
(* (- y x) (/ 1 z))

series51.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ x (* (- y x) (/ 1 z)))
28.0ms
(* (- y x) (/ 1 z))

simplify36.0ms

Counts
66 → 66
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0306322
11269279
25002264
done5002264

prune112.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ x (/ y z)) (+ x (/ y z)))
0.3b
(* (/ x z) (/ x z))
6.2b
(- (* (+ x (/ y z)) (+ x (/ y z))) (* (/ x z) (/ x z)))
29.5b
(/ (- (* (+ x (/ y z)) (+ x (/ y z))) (* (/ x z) (/ x z))) (+ (+ x (/ y z)) (/ x z)))

rewrite264.0ms

Algorithm
rewrite-expression-head
Rules
86×*-un-lft-identity
61×add-sqr-sqrt
60×times-frac
48×frac-sub
47×add-cube-cbrt
45×frac-times
44×flip3-+ flip-+
31×associate-*r/ associate-*l/
26×associate-/l/
21×distribute-lft-out
20×add-exp-log add-cbrt-cube
19×swap-sqr
18×pow1
17×associate-*r* associate-*l*
difference-of-squares
add-log-exp
cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod div-inv unswap-sqr
expm1-log1p-u associate-/r/ log1p-expm1-u associate-/l*
pow2 distribute-rgt-in flip3-- distribute-lft-in pow-plus pow-prod-down frac-add associate--l+ pow-sqr *-commutative pow-prod-up flip--
sub-neg frac-2neg fma-neg diff-log div-sub prod-diff clear-num
Counts
4 → 228
Calls
4 calls:
65.0ms
(* (+ x (/ y z)) (+ x (/ y z)))
21.0ms
(* (/ x z) (/ x z))
27.0ms
(- (* (+ x (/ y z)) (+ x (/ y z))) (* (/ x z) (/ x z)))
141.0ms
(/ (- (* (+ x (/ y z)) (+ x (/ y z))) (* (/ x z) (/ x z))) (+ (+ x (/ y z)) (/ x z)))

series300.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (+ x (/ y z)) (+ x (/ y z)))
26.0ms
(* (/ x z) (/ x z))
98.0ms
(- (* (+ x (/ y z)) (+ x (/ y z))) (* (/ x z) (/ x z)))
129.0ms
(/ (- (* (+ x (/ y z)) (+ x (/ y z))) (* (/ x z) (/ x z))) (+ (+ x (/ y z)) (/ x z)))

simplify50.0ms

Counts
240 → 240
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011113035
150022834
done50022834

prune501.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes60.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073
173
done73

end0.0ms

sample444.0ms

Algorithm
intervals
Results
184.0ms10060×body80valid