Details

Time bar (total: 25.4s)

sample30.0ms

Algorithm
intervals
Results
11.0ms341×body80valid

simplify3.5s

Counts
1 → 1
Iterations
IterNodes
done5000
153796
142882
132263
121877
111443
10945
9605
8444
7281
6139
599
470
346
226
114
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
6.6b
(/ (* (- y x) z) t)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-cbrt-cube add-exp-log
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×associate-/r* times-frac associate-*r*
2×cbrt-undiv flip3-- div-exp prod-exp cbrt-unprod flip-- associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 57
Calls
3 calls:
13.0ms
(+ x (/ (* (- y x) z) t))
25.0ms
(* (- y x) z)
13.0ms
(/ (* (- y x) z) t)

series184.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(+ x (/ (* (- y x) z) t))
46.0ms
(* (- y x) z)
86.0ms
(/ (* (- y x) z) t)

simplify1.4s

Counts
66 → 66
Iterations
IterNodes
done5000
21007
1292
0110

prune374.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
8.8b
(/ (- y x) (/ t z))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-cbrt-cube add-exp-log div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative clear-num associate-+r- sum-log frac-2neg flip3-+ flip3-- associate-/r/ flip-+ flip-- distribute-lft-out
Counts
2 → 114
Calls
2 calls:
54.0ms
(+ x (/ (- y x) (/ t z)))
23.0ms
(/ (- y x) (/ t z))

series120.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ x (/ (- y x) (/ t z)))
70.0ms
(/ (- y x) (/ t z))

simplify1.2s

Counts
120 → 120
Iterations
IterNodes
done5003
21929
1660
0217

prune509.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t z) (- y x))))
0.4b
(/ 1 (/ (/ t z) (- y x)))
8.6b
(/ (/ t z) (- y x))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
462×*-un-lft-identity
459×add-sqr-sqrt
327×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
33×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip-- add-log-exp
4×pow1
3×rec-exp 1-exp
2×clear-num frac-2neg distribute-lft-out
1×+-commutative sum-log flip3-+ flip-+ pow-flip inv-pow associate-/l/
Counts
3 → 425
Calls
3 calls:
124.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
26.0ms
(/ 1 (/ (/ t z) (- y x)))
14.0ms
(/ (/ t z) (- y x))

series173.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
61.0ms
(/ 1 (/ (/ t z) (- y x)))
56.0ms
(/ (/ t z) (- y x))

simplify2.7s

Counts
434 → 434
Iterations
IterNodes
done5017
24628
11620
0575

prune1.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ 1 (/ (- y x) (/ t z)))))
0.2b
(/ 1 (/ (- y x) (/ t z)))
0.4b
(/ 1 (/ 1 (/ (- y x) (/ t z))))
8.8b
(/ (- y x) (/ t z))

rewrite561.0ms

Algorithm
rewrite-expression-head
Rules
3574×times-frac
1862×*-un-lft-identity
1859×add-sqr-sqrt
1415×add-cube-cbrt
298×associate-/r*
222×distribute-lft-out-- difference-of-squares
110×div-inv
106×add-exp-log
83×div-exp
32×add-cbrt-cube
23×associate-/r/
22×rec-exp 1-exp
19×cbrt-undiv
11×associate-/l*
7×pow1
6×add-log-exp
5×pow-flip
3×clear-num frac-2neg inv-pow
2×distribute-lft-out associate-/l/
1×+-commutative sum-log flip3-+ flip3-- div-sub flip-+ flip-- remove-double-div
Counts
4 → 1335
Calls
4 calls:
260.0ms
(+ x (/ 1 (/ 1 (/ (- y x) (/ t z)))))
40.0ms
(/ 1 (/ (- y x) (/ t z)))
75.0ms
(/ 1 (/ 1 (/ (- y x) (/ t z))))
23.0ms
(/ (- y x) (/ t z))

series327.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(+ x (/ 1 (/ 1 (/ (- y x) (/ t z)))))
130.0ms
(/ 1 (/ (- y x) (/ t z)))
64.0ms
(/ 1 (/ 1 (/ (- y x) (/ t z))))
76.0ms
(/ (- y x) (/ t z))

simplify6.0s

Counts
1347 → 1347
Iterations
IterNodes
done5001
14679
01588

prune4.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes314.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done14
114
011

end0.0ms

sample1.2s

Algorithm
intervals
Results
577.0ms10706×body80valid