Details

Time bar (total: 13.1s)

sample51.0ms

Algorithm
intervals
Results
22.0ms341×body80valid

simplify77.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11612
22912
33812
44512
55112
65412
done5412

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b
(/ (+ x 4.0) y)
3.7b
(* (/ x y) z)

rewrite161.0ms

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:
98.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
32.0ms
(/ (+ x 4.0) y)
26.0ms
(* (/ x y) z)

series191.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
57.0ms
(/ (+ x 4.0) y)
41.0ms
(* (/ x y) z)

simplify1.6s

Counts
88 → 88
Iterations

Useful iterations: 2 (406.0ms)

IterNodesCost
0142904
1351859
21678785
done5001785

prune628.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
3.7b
(* (/ x y) (- 1 z))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
6×associate-*r*
5×frac-add
4×pow1 distribute-rgt-in frac-times sub-neg associate-+r+ flip3-- distribute-lft-in associate-*r/ flip-- add-log-exp
2×associate-*l/ prod-exp cbrt-unprod difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out--
Counts
2 → 63
Calls
2 calls:
40.0ms
(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
69.0ms
(* (/ x y) (- 1 z))

series162.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
82.0ms
(* (/ x y) (- 1 z))

simplify4.0s

Counts
69 → 69
Iterations

Useful iterations: 2 (1.0s)

IterNodesCost
0140921
1417838
22828778
done5002778

prune491.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ x 4.0) (* x z))
2.9b
(/ (- (+ x 4.0) (* x z)) y)

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 flip3-- diff-log flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg div-sub div-exp associate--l+ clear-num sum-log div-inv
Counts
2 → 44
Calls
2 calls:
81.0ms
(- (+ x 4.0) (* x z))
149.0ms
(/ (- (+ x 4.0) (* x z)) y)

series133.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- (+ x 4.0) (* x z))
93.0ms
(/ (- (+ x 4.0) (* x z)) y)

simplify868.0ms

Counts
50 → 50
Iterations

Useful iterations: done (865.0ms)

IterNodesCost
083705
1212685
2830631
done5000629

prune266.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
5.7b
(* x (/ z y))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*r*
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:
40.0ms
(/ (+ x 4.0) y)
107.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
24.0ms
(* x (/ z y))

series166.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (+ x 4.0) y)
82.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
37.0ms
(* x (/ z y))

simplify1.3s

Counts
88 → 88
Iterations

Useful iterations: 2 (315.0ms)

IterNodesCost
0142920
1369867
21511797
done5000797

prune558.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes268.0ms

Accuracy

66.9% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.7b

bsearch117.0ms

Steps
ItersRangePoint
4
6.233201459981176e-56
1.1671216065586344e-55
8.680629550021094e-56
8
-1.4374651696982963e+145
-2.0346029743301018e+142
-2.0571879389397216e+142

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02242
13131
done3131

end0.0ms

sample1.4s

Algorithm
intervals
Results
870.0ms10050×body80valid