Details

Time bar (total: 12.5s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 6 (1.4s)

IterNodesCost
01317
12617
26117
314017
436317
579615
6278813
done500113

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (* z 2.0) y) (/ t z))
1.0b
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
128×times-frac
115×add-sqr-sqrt
100×*-un-lft-identity
91×prod-diff
90×add-cube-cbrt
22×div-inv
10×difference-of-squares
7×fma-neg
6×associate-/r*
5×distribute-lft-out--
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r/ associate-/l*
2×pow1 expm1-log1p-u flip3-- frac-sub flip-- log1p-expm1-u
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num
Counts
2 → 160
Calls
2 calls:
16.0ms
(- (/ (* z 2.0) y) (/ t z))
21.0ms
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

series61.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- (/ (* z 2.0) y) (/ t z))
28.0ms
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

simplify1.1s

Counts
166 → 166
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02835230
16144691
216213662
done50003580

prune336.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* z 2.0) y) (/ t z))
0.3b
(/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0))
1.1b
(/ (sqrt 2.0) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0)))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
683×times-frac
566×add-sqr-sqrt
416×*-un-lft-identity
316×add-cube-cbrt
270×sqrt-prod
100×difference-of-squares
91×prod-diff
50×distribute-lft-out--
46×associate-/r*
30×div-inv
12×associate-/l*
10×add-exp-log add-cbrt-cube
7×fma-neg
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u associate-/l/
2×flip3-- frac-2neg clear-num frac-sub flip--
1×sub-neg diff-log div-sub associate-/r/
Counts
3 → 485
Calls
3 calls:
19.0ms
(- (/ (* z 2.0) y) (/ t z))
43.0ms
(/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0))
34.0ms
(/ (sqrt 2.0) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0)))

series298.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- (/ (* z 2.0) y) (/ t z))
146.0ms
(/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0))
119.0ms
(/ (sqrt 2.0) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0)))

simplify2.7s

Counts
494 → 494
Iterations

Useful iterations: done (2.7s)

IterNodesCost
059315608
1135414368
2449812672
done500012646

prune833.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.1b
(/ (sqrt 2.0) (/ (* (cbrt (- (/ (* z 2.0) y) (/ t z))) (cbrt (- (/ (* z 2.0) y) (/ t z)))) (fabs (cbrt 2.0))))
17.0b
(cbrt (- (/ (* z 2.0) y) (/ t z)))
17.0b
(cbrt (- (/ (* z 2.0) y) (/ t z)))
17.0b
(cbrt (- (/ (* z 2.0) y) (/ t z)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
52×add-sqr-sqrt
43×*-un-lft-identity
37×add-cube-cbrt
24×sqrt-prod
18×cbrt-prod
13×add-exp-log
11×add-cbrt-cube
9×cbrt-div
8×div-inv
7×associate-/r*
6×associate-/l* difference-of-squares
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- pow1/3 frac-sub flip-- distribute-lft-out--
1×frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod
Counts
4 → 131
Calls
4 calls:
26.0ms
(/ (sqrt 2.0) (/ (* (cbrt (- (/ (* z 2.0) y) (/ t z))) (cbrt (- (/ (* z 2.0) y) (/ t z)))) (fabs (cbrt 2.0))))
10.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))
10.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))
13.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))

series623.0ms

Counts
4 → 12
Calls
4 calls:
256.0ms
(/ (sqrt 2.0) (/ (* (cbrt (- (/ (* z 2.0) y) (/ t z))) (cbrt (- (/ (* z 2.0) y) (/ t z)))) (fabs (cbrt 2.0))))
120.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))
124.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))
122.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))

simplify812.0ms

Counts
143 → 143
Iterations

Useful iterations: done (806.0ms)

IterNodesCost
02374337
15234193
215143951
done50003946

prune659.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* (* z 2.0) z) (* y t))
18.5b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×cbrt-undiv times-frac div-exp prod-exp associate-/r* cbrt-unprod
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
1×sub-neg frac-2neg fma-neg diff-log prod-diff clear-num div-inv associate-/l*
Counts
2 → 43
Calls
2 calls:
7.0ms
(- (* (* z 2.0) z) (* y t))
18.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series253.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (* (* z 2.0) z) (* y t))
210.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify735.0ms

Counts
49 → 49
Iterations

Useful iterations: 2 (111.0ms)

IterNodesCost
098872
1280852
21252713
done5000713

prune132.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes146.0ms

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

sample501.0ms

Algorithm
intervals
Results
303.0ms8000×body80valid