Details

Time bar (total: 10.9s)

sample65.0ms

Algorithm
intervals
Results
16.0ms198×body80valid
11.0ms22×body1280valid
11.0ms31×body640valid
5.0ms20×body320valid
1.0ms6×body160valid

simplify64.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
1.5b
(/ (* x (/ (sin y) y)) z)

rewrite71.0ms

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:
18.0ms
(* x (/ (sin y) y))
32.0ms
(/ (sin y) y)
18.0ms
(/ (* x (/ (sin y) y)) z)

series173.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(* x (/ (sin y) y))
26.0ms
(/ (sin y) y)
76.0ms
(/ (* x (/ (sin y) y)) z)

simplify648.0ms

Counts
92 → 92

prune237.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)))
1.5b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite140.0ms

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:
56.0ms
(* x (/ 1 (/ y (sin y))))
10.0ms
(/ y (sin y))
19.0ms
(/ 1 (/ y (sin y)))
41.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series235.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* x (/ 1 (/ y (sin y))))
32.0ms
(/ y (sin y))
44.0ms
(/ 1 (/ y (sin y)))
97.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify1.4s

Counts
219 → 219

prune547.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ (sin y) y) z)
0.1b
(/ (sin y) y)
1.7b
(* x (/ (/ (sin y) y) z))

rewrite94.0ms

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:
26.0ms
(/ (/ (sin y) y) z)
9.0ms
(/ (sin y) y)
41.0ms
(* x (/ (/ (sin y) y) z))

series190.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ (/ (sin y) y) z)
33.0ms
(/ (sin y) y)
113.0ms
(* x (/ (/ (sin y) y) z))

simplify1.1s

Counts
171 → 171

prune650.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* (/ (sin y) y) (/ 1 z))
1.7b
(* x (* (/ (sin y) y) (/ 1 z)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
43×add-sqr-sqrt
35×add-cbrt-cube
34×times-frac
28×*-un-lft-identity
26×add-cube-cbrt
25×prod-exp
17×div-exp
16×associate-*l*
14×associate-*r*
13×cbrt-unprod
10×pow1
9×cbrt-undiv
6×associate-*r/ unswap-sqr
4×rec-exp 1-exp pow-prod-down
3×associate-/r* div-inv associate-/l* add-log-exp
2×frac-times associate-*l/ un-div-inv *-commutative
1×frac-2neg clear-num
Counts
3 → 116
Calls
3 calls:
9.0ms
(/ (sin y) y)
27.0ms
(* (/ (sin y) y) (/ 1 z))
54.0ms
(* x (* (/ (sin y) y) (/ 1 z)))

series242.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ (sin y) y)
64.0ms
(* (/ (sin y) y) (/ 1 z))
132.0ms
(* x (* (/ (sin y) y) (/ 1 z)))

simplify958.0ms

Counts
125 → 125

prune341.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes272.0ms

Accuracy

-0.5% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 2.7b

bsearch72.0ms

Steps
ItersRangePoint
5
8.467521490514489e-69
2.856600015504721e-68
2.8069313034736843e-68
7
-1.5816770075214367e+40
-1.89722456798451e+38
-5.867173042175517e+38

simplify711.0ms

end0.0ms

sample2.6s

Algorithm
intervals
Results
557.0ms977×body1280valid
503.0ms5864×body80valid
435.0ms307×body160valid
405.0ms1020×body640valid
237.0ms576×body320valid