Details

Time bar (total: 13.8s)

sample69.0ms

Algorithm
intervals
Results
25.0ms35×body1280valid
11.0ms186×body80valid
10.0ms38×body640valid
3.0ms17×body320valid
2.0ms10×body160valid

simplify3.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.2b
(/ (sin y) y)
3.5b
(/ (* x (/ (sin y) y)) z)

rewrite45.0ms

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×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 83
Calls
3 calls:
17.0ms
(* x (/ (sin y) y))
9.0ms
(/ (sin y) y)
16.0ms
(/ (* x (/ (sin y) y)) z)

series174.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(* x (/ (sin y) y))
28.0ms
(/ (sin y) y)
85.0ms
(/ (* x (/ (sin y) y)) z)

simplify32.0ms

Counts
92 → 92

prune249.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.3b
(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
152×times-frac
110×add-sqr-sqrt
82×associate-*r*
78×add-cube-cbrt *-un-lft-identity
52×cbrt-prod
40×add-exp-log
28×add-cbrt-cube
15×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
10×unswap-sqr
8×div-inv
7×associate-*l*
6×pow1
4×add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 162
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
100.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
285.0ms
(cbrt z)
330.0ms
(cbrt z)
253.0ms
(cbrt z)
138.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

simplify47.0ms

Counts
174 → 174

prune664.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ (sin y) y) z)
0.2b
(/ (sin y) y)
3.4b
(* x (/ (/ (sin y) y) z))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
98×add-sqr-sqrt
89×add-cube-cbrt *-un-lft-identity
43×associate-*r*
19×add-exp-log add-cbrt-cube
16×associate-/l*
10×div-inv
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1
3×associate-*l* prod-exp cbrt-unprod add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 162
Calls
3 calls:
15.0ms
(/ (/ (sin y) y) z)
10.0ms
(/ (sin y) y)
42.0ms
(* x (/ (/ (sin y) y) z))

series159.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (/ (sin y) y) z)
33.0ms
(/ (sin y) y)
76.0ms
(* x (/ (/ (sin y) y) z))

simplify58.0ms

Counts
171 → 171

prune606.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.1b
(/ 1 (/ y (sin y)))
3.5b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite89.0ms

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×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 → 207
Calls
4 calls:
39.0ms
(* x (/ 1 (/ y (sin y))))
6.0ms
(/ y (sin y))
12.0ms
(/ 1 (/ y (sin y)))
22.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series242.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* x (/ 1 (/ y (sin y))))
34.0ms
(/ y (sin y))
30.0ms
(/ 1 (/ y (sin y)))
98.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify64.0ms

Counts
219 → 219

prune603.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

regimes438.0ms

Accuracy

-153.2% (8.1b remaining)

Error of 8.1b against oracle of 0.0b and baseline of 3.2b

bsearch154.0ms

Steps
ItersRangePoint
11
3.0051230757029522e-80
6.0376669948984346e-61
5.988929035362862e-61
11
-1.4402164374550874e+103
-5.752445219567519e+83
-1.7143815842868617e+86

simplify6.5s

end0.0ms

sample2.3s

Algorithm
intervals
Results
914.0ms5804×body80valid
561.0ms1030×body1280valid
284.0ms1027×body640valid
108.0ms540×body320valid
46.0ms310×body160valid