Details

Time bar (total: 14.2s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 6 (1.2s)

IterNodesCost
01317
12517
25917
313217
435317
575115
6266013
done500013

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (* z 2.0) y) (/ t z))
0.7b
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
23×*-un-lft-identity times-frac
13×add-cube-cbrt
10×difference-of-squares
6×associate-/r*
5×distribute-lft-out--
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r/ associate-/l*
2×pow1 flip3-- frac-sub flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 58
Calls
2 calls:
12.0ms
(- (/ (* z 2.0) y) (/ t z))
22.0ms
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

series63.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- (/ (* z 2.0) y) (/ t z))
28.0ms
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

simplify3.0s

Counts
64 → 64
Iterations

Useful iterations: 4 (2.0s)

IterNodesCost
01051103
12091081
25391037
315221017
446861012
done50001012

prune172.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* z 2.0) y) (/ t z))
0.4b
(* (sqrt 2.0) (/ (sqrt 2.0) (- (/ (* z 2.0) y) (/ t z))))
0.8b
(/ (sqrt 2.0) (- (/ (* z 2.0) y) (/ t z)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
131×add-sqr-sqrt
90×times-frac
73×*-un-lft-identity
47×sqrt-prod
45×add-cube-cbrt
43×associate-*r*
28×difference-of-squares
14×distribute-lft-out--
10×add-exp-log add-cbrt-cube
6×associate-*l* associate-/r* associate-/r/ associate-/l* unswap-sqr
5×pow1 add-log-exp
3×flip3-- frac-sub flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv
1×sub-neg frac-2neg diff-log associate-*r/ pow-prod-down clear-num *-commutative
Counts
3 → 148
Calls
3 calls:
12.0ms
(- (/ (* z 2.0) y) (/ t z))
61.0ms
(* (sqrt 2.0) (/ (sqrt 2.0) (- (/ (* z 2.0) y) (/ t z))))
23.0ms
(/ (sqrt 2.0) (- (/ (* z 2.0) y) (/ t z)))

series213.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- (/ (* z 2.0) y) (/ t z))
111.0ms
(* (sqrt 2.0) (/ (sqrt 2.0) (- (/ (* z 2.0) y) (/ t z))))
67.0ms
(/ (sqrt 2.0) (- (/ (* z 2.0) y) (/ t z)))

simplify2.0s

Counts
157 → 157
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01753050
13882811
212572657
done50002655

prune381.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* z 2.0) y) (/ t z))
0.3b
(* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (- (/ (* z 2.0) y) (/ t z))))
0.4b
(* (sqrt 2.0) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (- (/ (* z 2.0) y) (/ t z)))))
0.6b
(/ (sqrt (sqrt 2.0)) (- (/ (* z 2.0) y) (/ t z)))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
201×add-sqr-sqrt
150×sqrt-prod
137×times-frac
108×*-un-lft-identity
68×add-cube-cbrt
62×associate-*r*
40×difference-of-squares
20×add-exp-log add-cbrt-cube distribute-lft-out--
15×associate-*l*
12×unswap-sqr
11×pow1
9×associate-/l*
7×prod-exp cbrt-unprod
6×associate-/r* associate-/r/ add-log-exp
4×pow-prod-down
3×cbrt-undiv flip3-- associate-*r/ div-exp frac-sub flip--
2×*-commutative div-inv
1×sub-neg frac-2neg diff-log clear-num
Counts
4 → 220
Calls
4 calls:
12.0ms
(- (/ (* z 2.0) y) (/ t z))
71.0ms
(* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (- (/ (* z 2.0) y) (/ t z))))
63.0ms
(* (sqrt 2.0) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (- (/ (* z 2.0) y) (/ t z)))))
25.0ms
(/ (sqrt (sqrt 2.0)) (- (/ (* z 2.0) y) (/ t z)))

series319.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- (/ (* z 2.0) y) (/ t z))
69.0ms
(* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (- (/ (* z 2.0) y) (/ t z))))
113.0ms
(* (sqrt 2.0) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (- (/ (* z 2.0) y) (/ t z)))))
104.0ms
(/ (sqrt (sqrt 2.0)) (- (/ (* z 2.0) y) (/ t z)))

simplify1.2s

Counts
232 → 232
Iterations

Useful iterations: 2 (355.0ms)

IterNodesCost
02325174
15214629
216714207
done50004207

prune554.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (sqrt (sqrt 2.0)))
16.0b
(cbrt (- (/ (* z 2.0) y) (/ t z)))
16.0b
(cbrt (- (/ (* z 2.0) y) (/ t z)))
16.0b
(cbrt (- (/ (* z 2.0) y) (/ t z)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
25×add-sqr-sqrt
16×*-un-lft-identity
10×add-cube-cbrt
9×cbrt-div sqrt-prod
6×difference-of-squares
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-- times-frac frac-sub flip-- distribute-lft-out--
Counts
4 → 68
Calls
4 calls:
1.0ms
(cbrt (sqrt (sqrt 2.0)))
13.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))
10.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))
10.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))

series350.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(cbrt (sqrt (sqrt 2.0)))
116.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))
116.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))
117.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))

simplify2.0s

Counts
78 → 78
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
01141293
12101253
24611179
312261152
440441125
done50001125

prune351.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11213
done1213

end0.0ms

sample508.0ms

Algorithm
intervals
Results
305.0ms8000×body80valid