Details

Time bar (total: 7.5s)

sample20.0ms

Algorithm
intervals
Results
10.0ms329×body80valid

simplify30.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
11612
22812
33912
44612
55212
65512
done5512

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.0b
(* (/ x y) z)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 79
Calls
3 calls:
7.0ms
(/ (+ x 4.0) y)
25.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
7.0ms
(* (/ x y) z)

series92.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (+ x 4.0) y)
42.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
24.0ms
(* (/ x y) z)

simplify1.6s

Counts
88 → 88
Iterations

Useful iterations: 2 (117.0ms)

IterNodesCost
0142904
1342859
2996785
33691785
done5001785

prune211.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (/ 4.0 y) (/ x y)) (* (/ x y) z))
3.0b
(* (/ x y) z)

rewrite134.0ms

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 associate-*l/
3×associate-*r* frac-sub
2×diff-log prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- flip3-+ div-exp pow-prod-down frac-add associate--l+ sum-log *-commutative flip-- flip-+ div-inv
Counts
2 → 49
Calls
2 calls:
124.0ms
(- (+ (/ 4.0 y) (/ x y)) (* (/ x y) z))
7.0ms
(* (/ x y) z)

series66.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- (+ (/ 4.0 y) (/ x y)) (* (/ x y) z))
21.0ms
(* (/ x y) z)

simplify1.8s

Counts
55 → 55
Iterations

Useful iterations: 3 (679.0ms)

IterNodesCost
0122722
1315684
21058594
34455582
done5001582

prune147.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

3.0b
(* (/ x y) z)
13.3b
(cbrt (* (/ x y) z))
13.3b
(cbrt (* (/ x y) z))
13.3b
(cbrt (* (/ x y) z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*l/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
7.0ms
(* (/ x y) z)
3.0ms
(cbrt (* (/ x y) z))
3.0ms
(cbrt (* (/ x y) z))
3.0ms
(cbrt (* (/ x y) z))

series277.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (/ x y) z)
84.0ms
(cbrt (* (/ x y) z))
86.0ms
(cbrt (* (/ x y) z))
87.0ms
(cbrt (* (/ x y) z))

simplify1.0s

Counts
74 → 74
Iterations

Useful iterations: 3 (302.0ms)

IterNodesCost
0101651
1218631
2627554
32076518
done5000518

prune247.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (/ 4.0 y) (/ x y)) (* x (/ z y)))
4.5b
(* x (/ z y))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube add-log-exp
4×pow1 associate-*r/
3×associate-*l* frac-sub
2×diff-log prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- flip3-+ div-exp pow-prod-down frac-add associate--l+ sum-log *-commutative flip-- flip-+ div-inv
Counts
2 → 49
Calls
2 calls:
124.0ms
(- (+ (/ 4.0 y) (/ x y)) (* x (/ z y)))
7.0ms
(* x (/ z y))

series65.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- (+ (/ 4.0 y) (/ x y)) (* x (/ z y)))
19.0ms
(* x (/ z y))

simplify762.0ms

Counts
55 → 55
Iterations

Useful iterations: done (760.0ms)

IterNodesCost
0127738
1340694
21198636
done5001624

prune134.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes78.0ms

Accuracy

93.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.9b

bsearch80.0ms

Steps
ItersRangePoint
9
7.601695444954457e-41
3.5276053561013562e-34
4.1763185447825497e-35
8
-9.045624087032693e-17
-9.681018474890237e-20
-1.384698452851939e-17

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02246
12933
done2933

end0.0ms

sample509.0ms

Algorithm
intervals
Results
303.0ms10198×body80valid