Details

Time bar (total: 14.0s)

sample81.0ms

Algorithm
intervals
Results
18.0ms41×body640valid
18.0ms186×body80valid
16.0ms25×body1280valid
4.0ms13×body320valid
3.0ms13×body160valid

simplify45.0ms

Counts
1 → 1
Iterations
IterNodes
done79
579
471
348
224
112
07

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize30.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.5b
(/ (* x (/ (sin y) y)) z)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×*-un-lft-identity add-cube-cbrt
19×add-cbrt-cube add-exp-log
13×associate-*r*
cbrt-undiv associate-/r* div-exp
pow1
prod-exp cbrt-unprod associate-/l*
expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
clear-num frac-2neg associate-*r/ unswap-sqr
pow-prod-down *-commutative associate-/l/
Counts
3 → 89
Calls
3 calls:
11.0ms
(* x (/ (sin y) y))
7.0ms
(/ (sin y) y)
12.0ms
(/ (* x (/ (sin y) y)) z)

series258.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(* x (/ (sin y) y))
49.0ms
(/ (sin y) y)
107.0ms
(/ (* x (/ (sin y) y)) z)

simplify1.2s

Counts
98 → 98
Iterations
IterNodes
done5000
21731
1352
0145

prune479.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.6b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-sqr-sqrt add-cbrt-cube
28×times-frac
26×*-un-lft-identity associate-*r* add-cube-cbrt
22×prod-exp
12×div-exp cbrt-unprod
10×pow1
cbrt-undiv
associate-*l* pow-prod-down associate-*r/
expm1-log1p-u rec-exp associate-/r* 1-exp log1p-expm1-u div-inv associate-/l* add-log-exp
*-commutative unswap-sqr
frac-times clear-num frac-2neg associate-*l/ un-div-inv
Counts
3 → 111
Calls
3 calls:
12.0ms
(* x (/ (sin y) y))
6.0ms
(/ (sin y) y)
28.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series247.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(* x (/ (sin y) y))
48.0ms
(/ (sin y) y)
126.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify2.3s

Counts
120 → 120
Iterations
IterNodes
done5001
23013
1510
0185

prune671.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
0.8b
(/ 1 (/ z (* x (/ (sin y) y))))
2.5b
(/ z (* x (/ (sin y) y)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
54×add-exp-log
44×add-sqr-sqrt
39×*-un-lft-identity add-cube-cbrt
34×add-cbrt-cube
26×div-exp
14×cbrt-undiv
13×associate-*r*
12×associate-/r*
10×prod-exp
associate-/l*
div-inv
pow1
associate-*r/ associate-/r/ cbrt-unprod
expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
clear-num frac-2neg associate-*l*
unswap-sqr
pow-prod-down *-commutative pow-flip inv-pow
Counts
4 → 155
Calls
4 calls:
23.0ms
(* x (/ (sin y) y))
17.0ms
(/ (sin y) y)
31.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
10.0ms
(/ z (* x (/ (sin y) y)))

series730.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* x (/ (sin y) y))
36.0ms
(/ (sin y) y)
98.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
523.0ms
(/ z (* x (/ (sin y) y)))

simplify1.6s

Counts
167 → 167
Iterations
IterNodes
done5001
22602
1564
0228

prune988.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (sin y))
2.5b
(/ (/ (* x (sin y)) y) z)
6.9b
(/ (* x (sin y)) y)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
25×add-sqr-sqrt
23×*-un-lft-identity add-cube-cbrt
19×add-cbrt-cube add-exp-log
associate-/l*
cbrt-undiv div-exp
associate-/r* div-inv
pow1
expm1-log1p-u associate-*r* associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
clear-num frac-2neg
pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 93
Calls
3 calls:
7.0ms
(* x (sin y))
14.0ms
(/ (/ (* x (sin y)) y) z)
17.0ms
(/ (* x (sin y)) y)

series253.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(* x (sin y))
94.0ms
(/ (/ (* x (sin y)) y) z)
99.0ms
(/ (* x (sin y)) y)

simplify1.4s

Counts
102 → 102
Iterations
IterNodes
done5000
21883
1371
0154

prune545.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes570.0ms

Accuracy

91% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.9b

bsearch2.0ms

simplify7.0ms

Iterations
IterNodes
done26
126
018

end0.0ms

sample2.4s

Algorithm
intervals
Results
580.0ms554×body320valid
558.0ms976×body1280valid
521.0ms5865×body80valid
358.0ms1065×body640valid
40.0ms270×body160valid