Details

Time bar (total: 7.2s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify480.0ms

Counts
1 → 1
Iterations

Useful iterations: done (479.0ms)

IterNodesCost
01317
12617
26117
314117
436417
588515
done500013

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)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
152×times-frac
145×add-sqr-sqrt
105×*-un-lft-identity
95×add-cube-cbrt
91×prod-diff
23×div-inv
20×difference-of-squares
11×associate-/r*
10×add-exp-log add-cbrt-cube
7×fma-neg
5×distribute-lft-out-- add-log-exp
4×associate-/l*
3×pow1 cbrt-undiv expm1-log1p-u div-exp associate-/r/ log1p-expm1-u
2×flip3-- frac-2neg clear-num frac-sub flip--
1×sub-neg diff-log prod-exp cbrt-unprod
Counts
3 → 193
Calls
3 calls:
17.0ms
(- (/ (* z z) y) (/ t 2.0))
25.0ms
(/ z (- (/ (* z z) y) (/ t 2.0)))
4.0ms
(/ (* z z) y)

series96.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- (/ (* z z) y) (/ t 2.0))
45.0ms
(/ z (- (/ (* z z) y) (/ t 2.0)))
19.0ms
(/ (* z z) y)

simplify1.1s

Counts
202 → 202
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03245641
17185085
223533876
done50013862

prune386.0ms

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)))

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
1483×times-frac
964×add-sqr-sqrt
889×*-un-lft-identity
859×add-cube-cbrt
572×prod-diff
106×div-inv
44×fma-neg
30×difference-of-squares
24×associate-/r*
18×associate-/r/
10×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×flip3-- frac-2neg clear-num frac-sub flip--
1×sub-neg diff-log
Counts
3 → 775
Calls
3 calls:
75.0ms
(- (/ z (/ y z)) (/ t 2.0))
5.0ms
(/ z (/ y z))
75.0ms
(/ z (- (/ z (/ y z)) (/ t 2.0)))

series98.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- (/ z (/ y z)) (/ t 2.0))
18.0ms
(/ z (/ y z))
48.0ms
(/ z (- (/ z (/ y z)) (/ t 2.0)))

simplify583.0ms

Counts
784 → 784
Iterations

Useful iterations: done (543.0ms)

IterNodesCost
091531467
1192527621
done500027223

prune2.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

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×expm1-log1p-u associate-*r* pow-prod-down associate-*l/ associate-/r/ log1p-expm1-u
3×flip3-- associate-/r* flip-- div-inv associate-/l*
2×*-commutative unswap-sqr
1×frac-times sub-neg frac-2neg fma-neg diff-log associate-*r/ prod-diff clear-num
Counts
4 → 124
Calls
4 calls:
3.0ms
(- (* z 2.0) (* (/ y z) t))
5.0ms
(/ z (- (* z 2.0) (* (/ y z) t)))
8.0ms
(* (/ y z) t)
23.0ms
(* (/ z (- (* z 2.0) (* (/ y z) t))) (* (/ y z) 2.0))

series150.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* z 2.0) (* (/ y z) t))
47.0ms
(/ z (- (* z 2.0) (* (/ y z) t)))
19.0ms
(* (/ y z) t)
43.0ms
(* (/ z (- (* z 2.0) (* (/ y z) t))) (* (/ y z) 2.0))

simplify890.0ms

Counts
136 → 136
Iterations

Useful iterations: 2 (171.0ms)

IterNodesCost
01942149
15412089
224131762
done50001762

prune339.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes66.0ms

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

sample505.0ms

Algorithm
intervals
Results
298.0ms8000×body80valid