Details

Time bar (total: 15.2s)

sample29.0ms

Algorithm
intervals
Results
12.0ms278×body80valid

simplify265.0ms

Counts
1 → 1
Iterations
IterNodes
done281
8281
7271
6242
5192
4138
388
246
120
010

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 2.0 (* (/ z x) (- y t)))
5.9b
(* (/ z x) (- y t))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
26×*-un-lft-identity
24×add-cube-cbrt
18×prod-diff
16×add-cbrt-cube add-exp-log
13×times-frac associate-*l*
11×distribute-rgt-in distribute-lft-in
5×cbrt-undiv div-exp associate-*r* associate-/r/
4×frac-times pow1 flip3-- prod-exp associate-*r/ cbrt-unprod flip--
3×associate-/l*
2×expm1-log1p-u sub-neg associate-*l/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num associate-/r* frac-2neg pow-prod-down *-commutative distribute-lft-out-- difference-of-squares
Counts
2 → 92
Calls
2 calls:
14.0ms
(/ 2.0 (* (/ z x) (- y t)))
30.0ms
(* (/ z x) (- y t))

series155.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ 2.0 (* (/ z x) (- y t)))
95.0ms
(* (/ z x) (- y t))

simplify1.4s

Counts
98 → 98
Iterations
IterNodes
done5000
22776
1516
0191

prune555.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(/ 2.0 (* (/ (* (cbrt z) (cbrt z)) (* (cbrt x) (cbrt x))) (* (/ (cbrt z) (cbrt x)) (- y t))))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
90×add-exp-log
56×add-cbrt-cube
37×prod-exp cbrt-unprod
33×cbrt-undiv div-exp
11×associate-/r/
9×cbrt-prod add-sqr-sqrt frac-times *-un-lft-identity associate-*r/ add-cube-cbrt
4×expm1-log1p-u pow1 flip3-- log1p-expm1-u flip-- add-log-exp
3×times-frac pow1/3 associate-*l/ associate-/l*
1×clear-num associate-/r* frac-2neg div-inv
Counts
4 → 101
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
95.0ms
(/ 2.0 (* (/ (* (cbrt z) (cbrt z)) (* (cbrt x) (cbrt x))) (* (/ (cbrt z) (cbrt x)) (- y t))))

series890.0ms

Counts
4 → 12
Calls
4 calls:
280.0ms
(cbrt x)
280.0ms
(cbrt x)
257.0ms
(cbrt x)
72.0ms
(/ 2.0 (* (/ (* (cbrt z) (cbrt z)) (* (cbrt x) (cbrt x))) (* (/ (cbrt z) (cbrt x)) (- y t))))

simplify2.6s

Counts
113 → 113
Iterations
IterNodes
done5000
24922
1722
0203

prune810.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(/ (- 2.0) (- (* (/ (cbrt z) (cbrt x)) (* (- y t) (* (/ (cbrt z) (cbrt x)) (/ (cbrt z) (cbrt x)))))))
1.2b
(* (- y t) (* (/ (cbrt z) (cbrt x)) (/ (cbrt z) (cbrt x))))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
42×add-sqr-sqrt
41×*-un-lft-identity
39×add-cube-cbrt
38×frac-times
32×distribute-lft-neg-in distribute-rgt-neg-in
29×associate-*r/
24×add-exp-log
23×associate-/r/ distribute-neg-frac
18×neg-mul-1
16×add-cbrt-cube associate-*l/
12×flip3-- flip--
10×associate-/l*
9×pow1 prod-exp cbrt-unprod
6×cbrt-prod associate-/r*
5×cbrt-undiv div-exp associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down
2×pow1/3
1×neg-sub0 clear-num frac-2neg div-sub associate-*r* distribute-frac-neg *-commutative div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 181
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
22.0ms
(/ (- 2.0) (- (* (/ (cbrt z) (cbrt x)) (* (- y t) (* (/ (cbrt z) (cbrt x)) (/ (cbrt z) (cbrt x)))))))
69.0ms
(* (- y t) (* (/ (cbrt z) (cbrt x)) (/ (cbrt z) (cbrt x))))

series799.0ms

Counts
4 → 12
Calls
4 calls:
272.0ms
(cbrt x)
295.0ms
(cbrt x)
76.0ms
(/ (- 2.0) (- (* (/ (cbrt z) (cbrt x)) (* (- y t) (* (/ (cbrt z) (cbrt x)) (/ (cbrt z) (cbrt x)))))))
155.0ms
(* (- y t) (* (/ (cbrt z) (cbrt x)) (/ (cbrt z) (cbrt x))))

simplify2.1s

Counts
193 → 193
Iterations
IterNodes
done5001
23933
1982
0367

prune1.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y t) x)
0.7b
(/ 2.0 (* z (/ (- y t) x)))
4.1b
(* z (/ (- y t) x))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
34×times-frac
25×add-cube-cbrt
19×add-cbrt-cube associate-*r* add-exp-log
8×associate-/l*
7×distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp
5×pow1
4×associate-/r* prod-exp cbrt-unprod
3×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ unswap-sqr associate-/l/
1×flip3-- div-sub pow-prod-down associate-/r/ *-commutative flip--
Counts
3 → 106
Calls
3 calls:
23.0ms
(/ (- y t) x)
19.0ms
(/ 2.0 (* z (/ (- y t) x)))
24.0ms
(* z (/ (- y t) x))

series228.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (- y t) x)
117.0ms
(/ 2.0 (* z (/ (- y t) x)))
73.0ms
(* z (/ (- y t) x))

simplify1.2s

Counts
115 → 115
Iterations
IterNodes
done5001
21735
1394
0158

prune579.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes609.0ms

Accuracy

0% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.4b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done35
335
233
123
015

end0.0ms

sample1.1s

Algorithm
intervals
Results
761.0ms8741×body80valid