Details

Time bar (total: 18.7s)

sample27.0ms

Algorithm
intervals
Results
11.0ms297×body80valid

simplify225.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11511
22511
34111
46211
57911
69511
711211
811911
912211
done12211

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
4.9b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite626.0ms

Algorithm
rewrite-expression-head
Rules
1192×times-frac
1082×add-sqr-sqrt
1078×*-un-lft-identity
819×prod-diff
814×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
129×distribute-lft-out-- difference-of-squares
104×div-inv
80×associate-/r/
42×flip3-- flip--
13×fma-neg
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u sub-neg associate-*r/ associate-*l* log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 927
Calls
3 calls:
83.0ms
(- (/ y z) (/ t (- 1.0 z)))
24.0ms
(/ t (- 1.0 z))
364.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series179.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- (/ y z) (/ t (- 1.0 z)))
47.0ms
(/ t (- 1.0 z))
87.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify3.2s

Counts
936 → 936
Iterations

Useful iterations: done (3.2s)

IterNodesCost
0100949986
1165444871
2350733786
done500033785

prune2.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
0.0b
(/ t (- 1.0 z))
1.3b
(* x (- (/ t (- 1.0 z))))
6.5b
(/ (* x y) z)

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
58×*-un-lft-identity
51×times-frac
46×associate-*r*
38×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*
7×fma-def
6×pow1 associate-/r/ add-log-exp
5×div-inv
4×expm1-log1p-u log1p-expm1-u associate-/l*
3×cbrt-undiv flip3-- div-exp associate-*l* distribute-rgt-neg-out flip--
2×frac-2neg associate-*r/ 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 → 150
Calls
4 calls:
38.0ms
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
24.0ms
(/ t (- 1.0 z))
79.0ms
(* x (- (/ t (- 1.0 z))))
14.0ms
(/ (* x y) z)

series284.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
61.0ms
(/ t (- 1.0 z))
80.0ms
(* x (- (/ t (- 1.0 z))))
29.0ms
(/ (* x y) z)

simplify1.4s

Counts
162 → 162
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02611745
16291609
219341513
done50011478

prune605.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

6.5b
(/ (* x y) z)
8.5b
(cbrt (/ t (- 1.0 z)))
8.5b
(cbrt (/ t (- 1.0 z)))
8.5b
(cbrt (/ t (- 1.0 z)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
51×add-sqr-sqrt *-un-lft-identity
48×times-frac
33×add-cube-cbrt
9×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
6×associate-/r/
4×pow1 expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×cbrt-div flip3-- pow1/3 associate-/r* flip--
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
Counts
4 → 119
Calls
4 calls:
21.0ms
(/ (* x y) z)
14.0ms
(cbrt (/ t (- 1.0 z)))
14.0ms
(cbrt (/ t (- 1.0 z)))
14.0ms
(cbrt (/ t (- 1.0 z)))

series763.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ (* x y) z)
229.0ms
(cbrt (/ t (- 1.0 z)))
250.0ms
(cbrt (/ t (- 1.0 z)))
237.0ms
(cbrt (/ t (- 1.0 z)))

simplify2.9s

Counts
131 → 131
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01851905
13611807
29431694
333361562
done50021511

prune629.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

6.5b
(/ (* x y) z)
12.4b
(cbrt (/ (* x y) z))
12.4b
(cbrt (/ (* x y) z))
12.4b
(cbrt (/ (* x y) z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3 associate-/r*
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
Counts
4 → 77
Calls
4 calls:
11.0ms
(/ (* x y) z)
4.0ms
(cbrt (/ (* x y) z))
4.0ms
(cbrt (/ (* x y) z))
12.0ms
(cbrt (/ (* x y) z))

series353.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (* x y) z)
133.0ms
(cbrt (/ (* x y) z))
99.0ms
(cbrt (/ (* x y) z))
99.0ms
(cbrt (/ (* x y) z))

simplify2.4s

Counts
89 → 89
Iterations

Useful iterations: done (2.4s)

IterNodesCost
094858
1184827
2563749
32328716
done5000704

prune430.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes262.0ms

Accuracy

49.8% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 5.8b

bsearch157.0ms

Steps
ItersRangePoint
9
2.1927299290011604e+49
1.5530038377043224e+54
2.673551738340748e+49
9
-1.9792727552120525e-31
-2.6006025166374935e-37
-1.6091924834395438e-32

simplify15.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
03151
14950
25750
36350
done6350

end1.0ms

sample1.7s

Algorithm
intervals
Results
660.0ms10008×body80valid