Details

Time bar (total: 20.1s)

sample68.0ms

Algorithm
intervals
Results
20.0ms205×body80valid
14.0ms21×body1280valid
10.0ms23×body640valid
4.0ms14×body320valid
2.0ms11×body160valid

simplify80.0ms

Counts
1 → 1
Iterations
IterNodes
done78
678
576
465
340
222
112
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize27.0ms

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)

rewrite81.0ms

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*
6×cbrt-undiv associate-/r* div-exp
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 92
Calls
3 calls:
27.0ms
(* x (/ (sin y) y))
17.0ms
(/ (sin y) y)
28.0ms
(/ (* x (/ (sin y) y)) z)

series202.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(* x (/ (sin y) y))
33.0ms
(/ (sin y) y)
95.0ms
(/ (* x (/ (sin y) y)) z)

simplify1.9s

Counts
101 → 101
Iterations
IterNodes
done5000
21190
1347
0148

prune444.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ y (sin y))
0.1b
(* x (/ 1 (/ y (sin y))))
0.3b
(/ 1 (/ y (sin y)))
1.5b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite154.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-*l*
2×associate-*r/ associate-/r/ un-div-inv associate-/l/
1×pow-prod-down *-commutative pow-flip inv-pow
Counts
4 → 219
Calls
4 calls:
12.0ms
(/ y (sin y))
60.0ms
(* x (/ 1 (/ y (sin y))))
27.0ms
(/ 1 (/ y (sin y)))
41.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series272.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ y (sin y))
88.0ms
(* x (/ 1 (/ y (sin y))))
54.0ms
(/ 1 (/ y (sin y)))
91.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify1.6s

Counts
231 → 231
Iterations
IterNodes
done5065
22317
1787
0298

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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)

rewrite54.0ms

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*
6×cbrt-undiv associate-/r* div-exp
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 92
Calls
3 calls:
15.0ms
(* x (/ (sin y) y))
13.0ms
(/ (sin y) y)
24.0ms
(/ (* x (/ (sin y) y)) z)

series198.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(* x (/ (sin y) y))
36.0ms
(/ (sin y) y)
96.0ms
(/ (* x (/ (sin y) y)) z)

simplify1.9s

Counts
101 → 101
Iterations
IterNodes
done5000
21190
1347
0148

prune478.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ y (sin y))
0.3b
(/ x (/ y (sin y)))
0.4b
(/ 1 (/ z (/ x (/ y (sin y)))))
1.5b
(/ z (/ x (/ y (sin y))))

rewrite232.0ms

Algorithm
rewrite-expression-head
Rules
2211×times-frac
977×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
197×associate-/r*
76×div-inv
54×add-exp-log
36×div-exp
34×add-cbrt-cube
23×associate-/r/
20×cbrt-undiv
12×associate-/l*
5×pow1
4×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
4 → 885
Calls
4 calls:
11.0ms
(/ y (sin y))
19.0ms
(/ x (/ y (sin y)))
83.0ms
(/ 1 (/ z (/ x (/ y (sin y)))))
35.0ms
(/ z (/ x (/ y (sin y))))

series389.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ y (sin y))
73.0ms
(/ x (/ y (sin y)))
118.0ms
(/ 1 (/ z (/ x (/ y (sin y)))))
165.0ms
(/ z (/ x (/ y (sin y))))

simplify3.9s

Counts
897 → 897
Iterations
IterNodes
done5003
13696
01311

prune4.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes176.0ms

Accuracy

47.8% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 3.4b

bsearch107.0ms

Steps
ItersRangePoint
10
7.986526959194718e+113
7.425722264513988e+123
3.564026261687553e+114

simplify4.0ms

Iterations
IterNodes
done17
117
015

end0.0ms

sample2.4s

Algorithm
intervals
Results
655.0ms1008×body1280valid
542.0ms581×body320valid
502.0ms5844×body80valid
389.0ms1035×body640valid
49.0ms312×body160valid