Details

Time bar (total: 12.6s)

sample38.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify705.0ms

Counts
1 → 1
Iterations

Useful iterations: 5 (313.0ms)

IterNodesCost
01317
12517
26017
314217
435117
5162115
done500115

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z 1) (/ (/ (* y t) z) 2.0))
0.0b
(- x (/ y (- (/ z 1) (/ (/ (* y t) z) 2.0))))
3.0b
(/ (* y t) z)
4.8b
(/ y (- (/ z 1) (/ (/ (* y t) z) 2.0)))

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
112×add-sqr-sqrt
82×times-frac
64×*-un-lft-identity
32×difference-of-squares
22×add-cube-cbrt
14×associate-/r*
11×add-exp-log add-cbrt-cube distribute-lft-out--
8×add-log-exp
4×pow1 associate-/l*
3×cbrt-undiv flip3-- div-exp associate-/r/ flip--
2×sub-neg frac-2neg diff-log clear-num frac-sub div-inv
1×prod-exp cbrt-unprod
Counts
4 → 119
Calls
4 calls:
34.0ms
(- (/ z 1) (/ (/ (* y t) z) 2.0))
93.0ms
(- x (/ y (- (/ z 1) (/ (/ (* y t) z) 2.0))))
10.0ms
(/ (* y t) z)
60.0ms
(/ y (- (/ z 1) (/ (/ (* y t) z) 2.0)))

series335.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (/ z 1) (/ (/ (* y t) z) 2.0))
73.0ms
(- x (/ y (- (/ z 1) (/ (/ (* y t) z) 2.0))))
26.0ms
(/ (* y t) z)
186.0ms
(/ y (- (/ z 1) (/ (/ (* y t) z) 2.0)))

simplify1.0s

Counts
131 → 131
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02142539
14582129
221082043
done50002041

prune418.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z 1) (/ (/ y (/ z t)) 2.0))
0.0b
(- x (/ y (- (/ z 1) (/ (/ y (/ z t)) 2.0))))
4.6b
(/ y (/ z t))
4.8b
(/ y (- (/ z 1) (/ (/ y (/ z t)) 2.0)))

rewrite722.0ms

Algorithm
rewrite-expression-head
Rules
303×add-sqr-sqrt
267×times-frac
120×*-un-lft-identity
68×add-cube-cbrt
62×difference-of-squares
30×associate-/r*
11×add-exp-log add-cbrt-cube distribute-lft-out--
8×add-log-exp
6×div-inv associate-/l*
4×pow1 cbrt-undiv div-exp associate-/r/
3×flip3-- flip--
2×sub-neg frac-2neg diff-log clear-num frac-sub
Counts
4 → 198
Calls
4 calls:
115.0ms
(- (/ z 1) (/ (/ y (/ z t)) 2.0))
391.0ms
(- x (/ y (- (/ z 1) (/ (/ y (/ z t)) 2.0))))
9.0ms
(/ y (/ z t))
194.0ms
(/ y (- (/ z 1) (/ (/ y (/ z t)) 2.0)))

series420.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(- (/ z 1) (/ (/ y (/ z t)) 2.0))
97.0ms
(- x (/ y (- (/ z 1) (/ (/ y (/ z t)) 2.0))))
35.0ms
(/ y (/ z t))
220.0ms
(/ y (- (/ z 1) (/ (/ y (/ z t)) 2.0)))

simplify1.4s

Counts
210 → 210
Iterations

Useful iterations: 2 (482.0ms)

IterNodesCost
03584214
17653636
232423520
done50013520

prune710.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y (/ 1 (- z (/ (/ y (/ z t)) 2.0)))))
0.4b
(/ 1 (- z (/ (/ y (/ z t)) 2.0)))
4.6b
(/ y (/ z t))
4.9b
(* y (/ 1 (- z (/ (/ y (/ z t)) 2.0))))

rewrite472.0ms

Algorithm
rewrite-expression-head
Rules
177×add-sqr-sqrt
167×times-frac
87×*-un-lft-identity
72×add-cube-cbrt
30×associate-*r*
28×difference-of-squares
22×add-exp-log
21×associate-/r*
16×add-cbrt-cube
7×pow1 div-exp div-inv distribute-lft-out--
6×associate-/l* add-log-exp
5×cbrt-undiv associate-/r/
4×prod-exp
3×flip3-- associate-*l* flip-- unswap-sqr
2×rec-exp frac-2neg 1-exp clear-num cbrt-unprod
1×sub-neg pow-flip diff-log associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 188
Calls
4 calls:
5.0ms
(- x (* y (/ 1 (- z (/ (/ y (/ z t)) 2.0)))))
134.0ms
(/ 1 (- z (/ (/ y (/ z t)) 2.0)))
9.0ms
(/ y (/ z t))
314.0ms
(* y (/ 1 (- z (/ (/ y (/ z t)) 2.0))))

series346.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(- x (* y (/ 1 (- z (/ (/ y (/ z t)) 2.0)))))
34.0ms
(/ 1 (- z (/ (/ y (/ z t)) 2.0)))
27.0ms
(/ y (/ z t))
202.0ms
(* y (/ 1 (- z (/ (/ y (/ z t)) 2.0))))

simplify1.3s

Counts
200 → 200
Iterations

Useful iterations: done (1.3s)

IterNodesCost
03083171
17692900
233562621
done50012615

prune584.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 1 (/ (- z (/ (/ y (/ z t)) 2.0)) y)))
1.0b
(/ 1 (/ (- z (/ (/ y (/ z t)) 2.0)) y))
4.6b
(/ y (/ z t))
4.8b
(/ (- z (/ (/ y (/ z t)) 2.0)) y)

rewrite657.0ms

Algorithm
rewrite-expression-head
Rules
381×times-frac
374×add-sqr-sqrt
173×*-un-lft-identity
136×add-cube-cbrt
69×difference-of-squares
44×associate-/r*
22×add-exp-log
18×distribute-lft-out--
16×add-cbrt-cube
14×associate-/l*
12×div-inv
11×div-exp
7×cbrt-undiv
6×add-log-exp
5×pow1
3×frac-2neg clear-num
2×rec-exp flip3-- 1-exp associate-/r/ flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
4 → 275
Calls
4 calls:
218.0ms
(- x (/ 1 (/ (- z (/ (/ y (/ z t)) 2.0)) y)))
160.0ms
(/ 1 (/ (- z (/ (/ y (/ z t)) 2.0)) y))
9.0ms
(/ y (/ z t))
251.0ms
(/ (- z (/ (/ y (/ z t)) 2.0)) y)

series184.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(- x (/ 1 (/ (- z (/ (/ y (/ z t)) 2.0)) y)))
42.0ms
(/ 1 (/ (- z (/ (/ y (/ z t)) 2.0)) y))
21.0ms
(/ y (/ z t))
55.0ms
(/ (- z (/ (/ y (/ z t)) 2.0)) y)

simplify773.0ms

Counts
287 → 287
Iterations

Useful iterations: done (762.0ms)

IterNodesCost
04466118
111685603
done50005435

prune822.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11513
done1513

end0.0ms

sample1.3s

Algorithm
intervals
Results
944.0ms8000×body80valid