Details

Time bar (total: 6.9s)

sample38.0ms

Algorithm
intervals
Results
11.0ms31×body1280valid
7.0ms190×body80valid
6.0ms34×body640valid
2.0ms17×body320valid
0.0ms4×body160valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794
done794

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.1b
(/ (* x (/ (sin y) y)) z)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
13×associate-*r*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 89
Calls
3 calls:
14.0ms
(* x (/ (sin y) y))
8.0ms
(/ (sin y) y)
14.0ms
(/ (* x (/ (sin y) y)) z)

series158.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(* x (/ (sin y) y))
26.0ms
(/ (sin y) y)
75.0ms
(/ (* x (/ (sin y) y)) z)

simplify47.0ms

Counts
98 → 98
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0333511
11655443
25001443
done5001443

prune207.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.2b
(/ 1 (/ y (sin y)))
2.1b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
106×add-sqr-sqrt
94×*-un-lft-identity
92×add-cube-cbrt
64×add-exp-log
44×associate-*r*
34×add-cbrt-cube
30×div-exp
19×associate-/r*
14×cbrt-undiv prod-exp
11×div-inv
7×pow1 associate-/l*
6×rec-exp 1-exp cbrt-unprod
5×unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-*r/ associate-/r/ un-div-inv associate-/l/
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 215
Calls
4 calls:
31.0ms
(* x (/ 1 (/ y (sin y))))
5.0ms
(/ y (sin y))
13.0ms
(/ 1 (/ y (sin y)))
21.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series180.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* x (/ 1 (/ y (sin y))))
27.0ms
(/ y (sin y))
26.0ms
(/ 1 (/ y (sin y)))
74.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify90.0ms

Counts
227 → 227
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07201479
137141260
250021123
done50021123

prune405.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ x (/ y (sin y)))
0.1b
(/ y (sin y))
2.1b
(/ (pow (/ x (/ y (sin y))) 1) z)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
492×times-frac
246×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
176×unpow-prod-down
54×associate-/l*
23×div-inv
22×add-exp-log
19×associate-/r*
12×div-exp add-cbrt-cube
5×cbrt-undiv associate-/r/
4×sqr-pow
3×pow1 expm1-log1p-u frac-2neg pow-exp clear-num log1p-expm1-u add-log-exp
1×pow-to-exp
Counts
3 → 314
Calls
3 calls:
12.0ms
(/ x (/ y (sin y)))
5.0ms
(/ y (sin y))
43.0ms
(/ (pow (/ x (/ y (sin y))) 1) z)

series155.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ x (/ y (sin y)))
23.0ms
(/ y (sin y))
75.0ms
(/ (pow (/ x (/ y (sin y))) 1) z)

simplify56.0ms

Counts
323 → 323
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011083343
150023073
done50023073

prune892.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (/ y (sin y)))
0.3b
(cbrt (/ y (sin y)))
0.8b
(/ (pow (/ x (cbrt (/ y (sin y)))) 1) z)
1.3b
(* (/ 1 (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ (pow (/ x (cbrt (/ y (sin y)))) 1) z))

rewrite314.0ms

Algorithm
rewrite-expression-head
Rules
932×times-frac
492×add-sqr-sqrt
437×*-un-lft-identity
430×add-cube-cbrt
383×unpow-prod-down
305×cbrt-prod
175×associate-*r*
135×add-exp-log
60×div-exp
57×associate-/l*
50×prod-exp
33×div-inv
23×add-cbrt-cube
21×unswap-sqr
16×pow-exp
13×cbrt-div
10×rec-exp 1-exp associate-*l* associate-/r/ sqr-pow
8×cbrt-undiv pow-to-exp cbrt-unprod
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r*
2×frac-times pow1/3 associate-*r/ associate-*l/
1×frac-2neg pow-prod-down clear-num *-commutative
Counts
4 → 557
Calls
4 calls:
3.0ms
(cbrt (/ y (sin y)))
3.0ms
(cbrt (/ y (sin y)))
55.0ms
(/ (pow (/ x (cbrt (/ y (sin y)))) 1) z)
204.0ms
(* (/ 1 (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ (pow (/ x (cbrt (/ y (sin y)))) 1) z))

series529.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (/ y (sin y)))
138.0ms
(cbrt (/ y (sin y)))
147.0ms
(/ (pow (/ x (cbrt (/ y (sin y)))) 1) z)
97.0ms
(* (/ 1 (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ (pow (/ x (cbrt (/ y (sin y)))) 1) z))

simplify112.0ms

Counts
569 → 569
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
024508645
150028373
done50028373

prune2.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes154.0ms

Accuracy

92% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.5b

bsearch75.0ms

Steps
ItersRangePoint
8
892369.0132880388
49821777349.62285
14047118970.925291
8
-2.3427490500632407e-58
-8.615187806260869e-63
-1.5791765835238173e-58

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02510
12510
done2510

end0.0ms

sample1.1s

Algorithm
intervals
Results
269.0ms1028×body1280valid
226.0ms5762×body80valid
194.0ms1067×body640valid
77.0ms568×body320valid
25.0ms295×body160valid