Details

Time bar (total: 2.3s)

sample17.0ms

Algorithm
intervals
Results
7.0ms315×body80valid

simplify53.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1184
2324
3474
4574
5754
61094
71784
83974
913694
1050014
done50014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (* y (- z x)))
10.9b
(/ (+ x (* y (- z x))) z)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
9×times-frac
7×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
3×associate-*l* associate-/r* associate-/l*
2×flip3-+ associate-*r/ flip-+ associate-/l/
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 70
Calls
3 calls:
21.0ms
(* y (- z x))
6.0ms
(+ x (* y (- z x)))
22.0ms
(/ (+ x (* y (- z x))) z)

series112.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* y (- z x))
32.0ms
(+ x (* y (- z x)))
45.0ms
(/ (+ x (* y (- z x))) z)

simplify115.0ms

Counts
79 → 79
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0259420
11042388
24784388
35002388
done5002388

prune143.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (/ x z) y) (/ (* x y) z))
6.8b
(/ (* x y) z)

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
7×add-exp-log add-cbrt-cube add-log-exp
6×add-sqr-sqrt
4×add-cube-cbrt
3×times-frac associate-/r*
2×pow1 cbrt-undiv diff-log div-exp frac-sub distribute-lft-out--
1×sub-neg flip3-- frac-2neg flip3-+ prod-exp associate--l+ clear-num sum-log flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l* difference-of-squares
Counts
2 → 40
Calls
2 calls:
101.0ms
(- (+ (/ x z) y) (/ (* x y) z))
9.0ms
(/ (* x y) z)

series51.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(- (+ (/ x z) y) (/ (* x y) z))
21.0ms
(/ (* x y) z)

simplify32.0ms

Counts
46 → 46
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0244274
11067254
25001250
done5001250

prune90.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (/ x z) y) (* (/ x z) y))
4.1b
(* (/ x z) y)

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube add-log-exp
4×pow1
3×associate-*r* associate-*l/
2×diff-log prod-exp frac-sub cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- flip3-+ div-exp pow-prod-down associate--l+ sum-log *-commutative flip-- flip-+ div-inv
Counts
2 → 48
Calls
2 calls:
95.0ms
(- (+ (/ x z) y) (* (/ x z) y))
16.0ms
(* (/ x z) y)

series54.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(- (+ (/ x z) y) (* (/ x z) y))
24.0ms
(* (/ x z) y)

simplify32.0ms

Counts
54 → 54
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0273288
11091273
25001265
done5001265

prune100.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

1.2b
(* (* (cbrt (/ x z)) (cbrt (/ x z))) (* (cbrt (/ x z)) y))
10.9b
(cbrt (/ x z))
10.9b
(cbrt (/ x z))
10.9b
(cbrt (/ x z))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×pow1 add-exp-log
15×cbrt-div
10×add-cbrt-cube
9×associate-*l/
8×pow-prod-down prod-exp cbrt-unprod
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 95
Calls
4 calls:
64.0ms
(* (* (cbrt (/ x z)) (cbrt (/ x z))) (* (cbrt (/ x z)) y))
2.0ms
(cbrt (/ x z))
2.0ms
(cbrt (/ x z))
2.0ms
(cbrt (/ x z))

series253.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (* (cbrt (/ x z)) (cbrt (/ x z))) (* (cbrt (/ x z)) y))
58.0ms
(cbrt (/ x z))
76.0ms
(cbrt (/ x z))
97.0ms
(cbrt (/ x z))

simplify71.0ms

Counts
107 → 107
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0266756
1813634
23023589
35001545
done5001545

prune236.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes55.0ms

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
095
195
done95

end0.0ms

sample502.0ms

Algorithm
intervals
Results
234.0ms10151×body80valid