Details

Time bar (total: 13.0s)

sample53.0ms

Algorithm
intervals
Results
22.0ms315×body80valid

simplify126.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11511
22511
33911
45811
57311
68711
710211
810711
910911
done10911

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
4.6b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite235.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
11.0ms
(/ t (- 1.0 z))
50.0ms
(- (/ y z) (/ t (- 1.0 z)))
171.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series170.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ t (- 1.0 z))
59.0ms
(- (/ y z) (/ t (- 1.0 z)))
56.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify1.4s

Counts
98 → 98
Iterations

Useful iterations: 3 (655.0ms)

IterNodesCost
01701300
13871249
29181175
323491153
done50011153

prune273.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b
(* t (/ 1 (- 1.0 z)))
4.6b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
26×add-cube-cbrt
24×associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* add-log-exp
5×prod-exp associate-/r*
4×flip3-- div-exp associate-/r/ frac-sub flip-- unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv distribute-rgt-in rec-exp distribute-lft-in 1-exp pow-prod-down *-commutative div-inv
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 125
Calls
4 calls:
12.0ms
(/ 1 (- 1.0 z))
35.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
34.0ms
(* t (/ 1 (- 1.0 z)))
55.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series225.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ 1 (- 1.0 z))
57.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
64.0ms
(* t (/ 1 (- 1.0 z)))
77.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify2.2s

Counts
137 → 137
Iterations

Useful iterations: 3 (982.0ms)

IterNodesCost
02081748
14851430
211501300
331991276
done50021276

prune374.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (/ (* x y) z) (* (- (/ t (- 1.0 z))) x))
3.5b
(* (- (/ t (- 1.0 z))) x)
7.5b
(/ (* x y) z)

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
56×*-un-lft-identity
48×times-frac
46×associate-*l*
36×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×associate-/r*
6×pow1 associate-/r/ add-log-exp
4×div-inv associate-/l*
3×cbrt-undiv distribute-lft-neg-out flip3-- div-exp associate-*r* flip--
2×frac-2neg associate-*l/ prod-exp clear-num cbrt-unprod distribute-neg-frac
1×+-commutative neg-mul-1 flip3-+ unsub-neg pow-prod-down frac-add sum-log *-commutative flip-+ unswap-sqr
Counts
4 → 135
Calls
4 calls:
11.0ms
(/ t (- 1.0 z))
16.0ms
(+ (/ (* x y) z) (* (- (/ t (- 1.0 z))) x))
85.0ms
(* (- (/ t (- 1.0 z))) x)
10.0ms
(/ (* x y) z)

series230.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ t (- 1.0 z))
91.0ms
(+ (/ (* x y) z) (* (- (/ t (- 1.0 z))) x))
79.0ms
(* (- (/ t (- 1.0 z))) x)
22.0ms
(/ (* x y) z)

simplify1.8s

Counts
147 → 147
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02521635
16231555
219131454
done50001420

prune507.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (/ y (/ z x)) (* (- (/ t (- 1.0 z))) x))
3.5b
(* (- (/ t (- 1.0 z))) x)
3.8b
(/ y (/ z x))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
120×times-frac
98×add-sqr-sqrt
96×*-un-lft-identity
76×add-cube-cbrt
46×associate-*l*
21×distribute-lft-neg-in distribute-rgt-neg-in
18×associate-/r*
13×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×associate-/r/ div-inv
6×pow1 associate-/l* add-log-exp
4×cbrt-undiv div-exp
3×distribute-lft-neg-out flip3-- associate-*r* flip--
2×frac-2neg associate-*l/ clear-num distribute-neg-frac
1×+-commutative neg-mul-1 distribute-rgt-out flip3-+ unsub-neg pow-prod-down frac-add prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 185
Calls
4 calls:
20.0ms
(/ t (- 1.0 z))
42.0ms
(+ (/ y (/ z x)) (* (- (/ t (- 1.0 z))) x))
82.0ms
(* (- (/ t (- 1.0 z))) x)
9.0ms
(/ y (/ z x))

series224.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ t (- 1.0 z))
97.0ms
(+ (/ y (/ z x)) (* (- (/ t (- 1.0 z))) x))
67.0ms
(* (- (/ t (- 1.0 z))) x)
22.0ms
(/ y (/ z x))

simplify2.2s

Counts
197 → 197
Iterations

Useful iterations: done (2.2s)

IterNodesCost
03502335
18252196
224472057
done50012023

prune699.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes271.0ms

Accuracy

0.3% (4.3b remaining)

Error of 4.3b against oracle of 0.0b and baseline of 4.3b

bsearch159.0ms

Steps
ItersRangePoint
6
2.3584545246256017e-176
2.425544894753658e-175
2.8235114798144877e-176
10
-9.499754975206323e-91
-1.4635703804409912e-100
-2.7403687090498693e-97

simplify24.0ms

Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
02754
14538
25137
35537
45937
done5937

end0.0ms

sample1.3s

Algorithm
intervals
Results
642.0ms10105×body80valid