Details

Time bar (total: 4.7s)

sample21.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify429.0ms

Counts
1 → 1
Iterations

Useful iterations: done (429.0ms)

IterNodesCost
01317
12517
25917
313317
435417
582615
done500113

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* z z) y) (/ t 2.0))
8.0b
(/ z (- (/ (* z z) y) (/ t 2.0)))
8.3b
(/ (* z z) y)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
47×times-frac
28×*-un-lft-identity
20×difference-of-squares
18×add-cube-cbrt
11×associate-/r*
10×add-exp-log add-cbrt-cube
5×distribute-lft-out-- add-log-exp
4×associate-/l*
3×pow1 cbrt-undiv div-exp associate-/r/
2×flip3-- frac-2neg clear-num frac-sub flip-- div-inv
1×sub-neg diff-log prod-exp cbrt-unprod
Counts
3 → 89
Calls
3 calls:
12.0ms
(- (/ (* z z) y) (/ t 2.0))
21.0ms
(/ z (- (/ (* z z) y) (/ t 2.0)))
4.0ms
(/ (* z z) y)

series95.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- (/ (* z z) y) (/ t 2.0))
40.0ms
(/ z (- (/ (* z z) y) (/ t 2.0)))
19.0ms
(/ (* z z) y)

simplify420.0ms

Counts
98 → 98
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
01561502
13211463
210531369
done50001369

prune251.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ z (/ y z)) (/ t 2.0))
0.3b
(/ z (/ y z))
8.0b
(/ z (- (/ z (/ y z)) (/ t 2.0)))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
166×add-sqr-sqrt
163×times-frac
91×*-un-lft-identity
61×add-cube-cbrt
30×difference-of-squares
24×associate-/r*
10×add-exp-log add-cbrt-cube distribute-lft-out--
6×div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp associate-/r/
3×pow1
2×flip3-- frac-2neg clear-num frac-sub flip--
1×sub-neg diff-log
Counts
3 → 153
Calls
3 calls:
50.0ms
(- (/ z (/ y z)) (/ t 2.0))
5.0ms
(/ z (/ y z))
72.0ms
(/ z (- (/ z (/ y z)) (/ t 2.0)))

series95.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- (/ z (/ y z)) (/ t 2.0))
19.0ms
(/ z (/ y z))
44.0ms
(/ z (- (/ z (/ y z)) (/ t 2.0)))

simplify856.0ms

Counts
162 → 162
Iterations

Useful iterations: 2 (187.0ms)

IterNodesCost
02662606
15562491
224792295
done50002295

prune397.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* z 2.0) (* (/ y z) t))
1.6b
(/ z (- (* z 2.0) (* (/ y z) t)))
3.6b
(* (/ y z) t)
9.3b
(* (/ z (- (* z 2.0) (* (/ y z) t))) (* (/ y z) 2.0))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-sqr-sqrt add-cbrt-cube
28×times-frac associate-*l*
27×add-cube-cbrt *-un-lft-identity
12×prod-exp cbrt-unprod
11×pow1
7×cbrt-undiv div-exp
6×add-log-exp
4×associate-*r* pow-prod-down associate-*l/ associate-/r/
3×flip3-- associate-/r* flip-- div-inv associate-/l*
2×*-commutative unswap-sqr
1×frac-times sub-neg frac-2neg diff-log associate-*r/ clear-num
Counts
4 → 114
Calls
4 calls:
2.0ms
(- (* z 2.0) (* (/ y z) t))
5.0ms
(/ z (- (* z 2.0) (* (/ y z) t)))
11.0ms
(* (/ y z) t)
22.0ms
(* (/ z (- (* z 2.0) (* (/ y z) t))) (* (/ y z) 2.0))

series145.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- (* z 2.0) (* (/ y z) t))
51.0ms
(/ z (- (* z 2.0) (* (/ y z) t)))
18.0ms
(* (/ y z) t)
38.0ms
(* (/ z (- (* z 2.0) (* (/ y z) t))) (* (/ y z) 2.0))

simplify843.0ms

Counts
126 → 126
Iterations

Useful iterations: 2 (164.0ms)

IterNodesCost
01812031
15161979
223931655
done50011655

prune296.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
done1113

end0.0ms

sample510.0ms

Algorithm
intervals
Results
302.0ms8000×body80valid