Details

Time bar (total: 10.1s)

sample23.0ms

Algorithm
intervals
Results
9.0ms322×body80valid

simplify87.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11511
22511
34011
46011
57811
69311
710911
811611
911911
done11911

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
4.7b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite301.0ms

Algorithm
rewrite-expression-head
Rules
1177×times-frac
1063×add-sqr-sqrt
1059×*-un-lft-identity
819×prod-diff
803×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
125×distribute-lft-out-- difference-of-squares
103×div-inv
78×associate-/r/
41×flip3-- flip--
13×fma-neg
10×associate-*r*
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×sub-neg associate-*r/ associate-*l*
2×expm1-log1p-u frac-sub log1p-expm1-u
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 888
Calls
2 calls:
45.0ms
(- (/ y z) (/ t (- 1.0 z)))
158.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series105.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- (/ y z) (/ t (- 1.0 z)))
64.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify2.1s

Counts
894 → 894
Iterations

Useful iterations: done (2.1s)

IterNodesCost
098149540
1155044457
2354233386
done500133143

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x (/ z y)) (* (- (/ t (- 1.0 z))) x))
2.3b
(* (- (/ t (- 1.0 z))) x)
6.5b
(/ x (/ z y))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
171×times-frac
114×add-sqr-sqrt
112×*-un-lft-identity
100×add-cube-cbrt
46×associate-*l*
44×fma-def
21×distribute-lft-neg-in distribute-rgt-neg-in
13×associate-/r*
11×div-inv
10×add-exp-log add-cbrt-cube
6×associate-/r/ distribute-lft-out-- difference-of-squares
5×pow1 add-log-exp
3×cbrt-undiv distribute-lft-neg-out expm1-log1p-u div-exp associate-*r* log1p-expm1-u associate-/l*
2×flip3-- associate-*l/ flip-- distribute-neg-frac
1×+-commutative neg-mul-1 frac-2neg flip3-+ unsub-neg pow-prod-down frac-add prod-exp clear-num sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 197
Calls
3 calls:
36.0ms
(+ (/ x (/ z y)) (* (- (/ t (- 1.0 z))) x))
39.0ms
(* (- (/ t (- 1.0 z))) x)
5.0ms
(/ x (/ z y))

series158.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(+ (/ x (/ z y)) (* (- (/ t (- 1.0 z))) x))
58.0ms
(* (- (/ t (- 1.0 z))) x)
26.0ms
(/ x (/ z y))

simplify1.3s

Counts
206 → 206
Iterations

Useful iterations: done (1.3s)

IterNodesCost
03031957
17271827
222551734
done50011732

prune703.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x y) z) (* (- (/ t (- 1.0 z))) x))
2.3b
(* (- (/ t (- 1.0 z))) x)
5.4b
(/ (* x y) z)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
46×associate-*l*
41×add-sqr-sqrt
39×*-un-lft-identity
36×times-frac
27×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
10×add-exp-log add-cbrt-cube
7×fma-def
6×distribute-lft-out-- difference-of-squares
5×pow1 add-log-exp
4×associate-/r/ div-inv
3×distribute-lft-neg-out expm1-log1p-u associate-*r* associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod distribute-neg-frac
1×+-commutative neg-mul-1 frac-2neg flip3-+ unsub-neg pow-prod-down frac-add clear-num sum-log *-commutative flip-+ associate-/l* unswap-sqr
Counts
3 → 111
Calls
3 calls:
8.0ms
(+ (/ (* x y) z) (* (- (/ t (- 1.0 z))) x))
42.0ms
(* (- (/ t (- 1.0 z))) x)
4.0ms
(/ (* x y) z)

series151.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(+ (/ (* x y) z) (* (- (/ t (- 1.0 z))) x))
55.0ms
(* (- (/ t (- 1.0 z))) x)
23.0ms
(/ (* x y) z)

simplify967.0ms

Counts
120 → 120
Iterations

Useful iterations: done (964.0ms)

IterNodesCost
02041261
15141189
217001113
done50011112

prune356.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) z) (* (/ t (- 1.0 z)) x))
2.3b
(* (/ t (- 1.0 z)) x)
5.4b
(/ (* x y) z)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
25×*-un-lft-identity times-frac
21×associate-*l*
19×add-cube-cbrt
13×add-exp-log add-cbrt-cube
7×fma-neg prod-diff
5×pow1 add-log-exp
4×div-inv
3×cbrt-undiv expm1-log1p-u div-exp associate-*r* prod-exp associate-/r* cbrt-unprod log1p-expm1-u distribute-lft-out-- difference-of-squares
2×flip3-- associate-*l/ associate-/r/ flip-- unswap-sqr
1×sub-neg frac-2neg diff-log pow-prod-down clear-num *-commutative frac-sub associate-/l*
Counts
3 → 94
Calls
3 calls:
10.0ms
(- (/ (* x y) z) (* (/ t (- 1.0 z)) x))
20.0ms
(* (/ t (- 1.0 z)) x)
3.0ms
(/ (* x y) z)

series140.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(- (/ (* x y) z) (* (/ t (- 1.0 z)) x))
45.0ms
(* (/ t (- 1.0 z)) x)
21.0ms
(/ (* x y) z)

simplify940.0ms

Counts
103 → 103
Iterations

Useful iterations: done (937.0ms)

IterNodesCost
01871343
14601279
215921156
done50001154

prune276.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes208.0ms

Accuracy

55.6% (2.4b remaining)

Error of 2.5b against oracle of 0.1b and baseline of 5.5b

bsearch118.0ms

Steps
ItersRangePoint
9
1.8012318827099209e+49
4.6164572121131336e+55
3.26227413877638e+49
8
-1.7700168803206506e-14
-2.774446205819747e-17
-2.37676244964922e-15

simplify6.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02349
13436
23736
33836
done3836

end0.0ms

sample555.0ms

Algorithm
intervals
Results
303.0ms10075×body80valid