Details

Time bar (total: 14.4s)

sample51.0ms

Algorithm
intervals
Results
20.0ms340×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5000
93129
8915
7384
6200
5144
488
345
225
114
08

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
8.1b
(/ (* y (- x z)) t)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-cbrt-cube add-exp-log
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×associate-/r* times-frac associate-*l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-- div-exp prod-exp cbrt-unprod flip-- add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
17.0ms
(* y (- x z))
20.0ms
(/ (* y (- x z)) t)

series118.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* y (- x z))
67.0ms
(/ (* y (- x z)) t)

simplify663.0ms

Counts
55 → 55
Iterations
IterNodes
done5001
2959
1250
094

prune249.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
5.8b
(* (/ (/ y (cbrt t)) (cbrt t)) (/ (- x z) (cbrt t)))

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
314×times-frac
245×add-sqr-sqrt
166×cbrt-prod
159×*-un-lft-identity
147×add-cube-cbrt
136×associate-*l*
34×associate-*r*
25×add-exp-log
21×unswap-sqr
16×add-cbrt-cube
9×cbrt-undiv div-exp
8×div-inv
6×pow1 prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
4×add-log-exp
3×pow1/3
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 248
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
218.0ms
(* (/ (/ y (cbrt t)) (cbrt t)) (/ (- x z) (cbrt t)))

series1.0s

Counts
4 → 12
Calls
4 calls:
301.0ms
(cbrt t)
316.0ms
(cbrt t)
251.0ms
(cbrt t)
136.0ms
(* (/ (/ y (cbrt t)) (cbrt t)) (/ (- x z) (cbrt t)))

simplify626.0ms

Counts
260 → 260
Iterations
IterNodes
done5000
11015
0302

prune1.9s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- x z))
7.2b
(/ y (/ t (- x z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp
Counts
2 → 139
Calls
2 calls:
10.0ms
(/ t (- x z))
16.0ms
(/ y (/ t (- x z)))

series146.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ t (- x z))
102.0ms
(/ y (/ t (- x z)))

simplify1.6s

Counts
145 → 145
Iterations
IterNodes
done5001
22708
1563
0223

prune781.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.9b
(/ 1 (/ (/ t y) (- x z)))
6.0b
(/ (/ t y) (- x z))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
458×add-sqr-sqrt *-un-lft-identity
326×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
32×div-inv
28×add-exp-log
18×div-exp
16×add-cbrt-cube associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip--
3×pow1 rec-exp 1-exp
2×clear-num frac-2neg add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
2 → 412
Calls
2 calls:
53.0ms
(/ 1 (/ (/ t y) (- x z)))
35.0ms
(/ (/ t y) (- x z))

series151.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(/ 1 (/ (/ t y) (- x z)))
55.0ms
(/ (/ t y) (- x z))

simplify1.3s

Counts
418 → 418
Iterations
IterNodes
done5000
11603
0556

prune1.4s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes242.0ms

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
done12
112
010

end0.0ms

sample1.8s

Algorithm
intervals
Results
655.0ms10635×body80valid