Details

Time bar (total: 18.3s)

sample102.0ms

Algorithm
intervals
Results
25.0ms57×body1280valid
23.0ms320×body80valid
20.0ms65×body640valid
6.0ms29×body320valid
3.0ms18×body160valid

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
done5000
74195
6882
5295
4146
369
232
115
06

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sinh y) (/ (sin x) x))
0.1b
(/ (sin x) x)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity times-frac add-cube-cbrt
13×associate-*r*
10×add-cbrt-cube add-exp-log
pow1
expm1-log1p-u sinh-def associate-/r* associate-*l* log1p-expm1-u associate-/l* add-log-exp
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 75
Calls
3 calls:
2.0ms
(sinh y)
26.0ms
(* (sinh y) (/ (sin x) x))
7.0ms
(/ (sin x) x)

series275.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(sinh y)
133.0ms
(* (sinh y) (/ (sin x) x))
56.0ms
(/ (sin x) x)

simplify696.0ms

Counts
84 → 84
Iterations
IterNodes
done5001
21481
1328
0140

prune483.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sin x) x)
0.3b
(cbrt (/ (sin x) x))
0.3b
(cbrt (/ (sin x) x))
0.3b
(cbrt (/ (sin x) x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
36×times-frac
33×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
add-cbrt-cube add-exp-log
expm1-log1p-u pow1 log1p-expm1-u div-inv add-log-exp
cbrt-div associate-/r* pow1/3 associate-/l*
cbrt-undiv clear-num frac-2neg div-exp
Counts
4 → 101
Calls
4 calls:
6.0ms
(/ (sin x) x)
2.0ms
(cbrt (/ (sin x) x))
2.0ms
(cbrt (/ (sin x) x))
4.0ms
(cbrt (/ (sin x) x))

series644.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ (sin x) x)
197.0ms
(cbrt (/ (sin x) x))
218.0ms
(cbrt (/ (sin x) x))
190.0ms
(cbrt (/ (sin x) x))

simplify2.0s

Counts
113 → 113
Iterations
IterNodes
done5001
32969
2549
1190
0108

prune754.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (/ (sin x) x))
0.3b
(cbrt (/ (sin x) x))
0.6b
(cbrt x)
0.6b
(cbrt (sin x))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
cbrt-div div-inv
Counts
4 → 74
Calls
4 calls:
4.0ms
(cbrt (/ (sin x) x))
4.0ms
(cbrt (/ (sin x) x))
1.0ms
(cbrt x)
2.0ms
(cbrt (sin x))

series794.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt (/ (sin x) x))
191.0ms
(cbrt (/ (sin x) x))
267.0ms
(cbrt x)
136.0ms
(cbrt (sin x))

simplify1.3s

Counts
86 → 86
Iterations
IterNodes
done5001
33011
2632
1221
0119

prune595.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
pow1/3
swap-sqr associate-*r* associate-*l* add-exp-log
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
22.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
317.0ms
(* (cbrt x) (cbrt x))
341.0ms
(cbrt x)
254.0ms
(cbrt x)
298.0ms
(cbrt x)

simplify1.2s

Counts
93 → 93
Iterations
IterNodes
done5001
2725
1142
065

prune567.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes277.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.5s1829×body1280valid
1.4s2007×body640valid
1.1s10293×body80valid
263.0ms1072×body320valid
106.0ms610×body160valid