Details

Time bar (total: 13.5s)

sample22.0ms

Algorithm
intervals
Results
10.0ms256×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: 0.1b

localize9.0ms

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)))

rewrite52.0ms

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:
21.0ms
(- (/ (* z 2.0) y) (/ t z))
21.0ms
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

series56.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(- (/ (* z 2.0) y) (/ t z))
26.0ms
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

simplify863.0ms

Counts
166 → 166
Iterations

Useful iterations: done (853.0ms)

IterNodesCost
02835230
16144691
216213662
done50003580

prune320.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
208×add-sqr-sqrt
195×times-frac
150×*-un-lft-identity
122×add-cube-cbrt
91×prod-diff
47×sqrt-prod
43×associate-*r*
28×difference-of-squares
23×div-inv
14×distribute-lft-out--
10×add-exp-log add-cbrt-cube
7×fma-neg
6×associate-*l* associate-/r* associate-/r/ associate-/l* unswap-sqr
5×pow1 add-log-exp
3×expm1-log1p-u flip3-- frac-sub flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod
1×sub-neg frac-2neg diff-log associate-*r/ pow-prod-down clear-num *-commutative
Counts
3 → 252
Calls
3 calls:
16.0ms
(- (/ (* z 2.0) y) (/ t z))
60.0ms
(* (sqrt 2.0) (/ (sqrt 2.0) (- (/ (* z 2.0) y) (/ t z))))
22.0ms
(/ (sqrt 2.0) (- (/ (* z 2.0) y) (/ t z)))

series200.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- (/ (* z 2.0) y) (/ t z))
105.0ms
(* (sqrt 2.0) (/ (sqrt 2.0) (- (/ (* z 2.0) y) (/ t z))))
65.0ms
(/ (sqrt 2.0) (- (/ (* z 2.0) y) (/ t z)))

simplify1.6s

Counts
261 → 261
Iterations

Useful iterations: done (1.6s)

IterNodesCost
03557211
17956459
223635307
done50005225

prune568.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

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)))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
278×add-sqr-sqrt
242×times-frac
185×*-un-lft-identity
150×sqrt-prod
145×add-cube-cbrt
91×prod-diff
62×associate-*r*
40×difference-of-squares
23×div-inv
20×add-exp-log add-cbrt-cube distribute-lft-out--
15×associate-*l*
12×unswap-sqr
11×pow1
9×associate-/l*
7×fma-neg prod-exp cbrt-unprod
6×associate-/r* associate-/r/ add-log-exp
4×expm1-log1p-u pow-prod-down log1p-expm1-u
3×cbrt-undiv flip3-- associate-*r/ div-exp frac-sub flip--
2×*-commutative
1×sub-neg frac-2neg diff-log clear-num
Counts
4 → 326
Calls
4 calls:
16.0ms
(- (/ (* 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)))))
27.0ms
(/ (sqrt (sqrt 2.0)) (- (/ (* z 2.0) y) (/ t z)))

series314.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (/ (* z 2.0) y) (/ t z))
61.0ms
(* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (- (/ (* z 2.0) y) (/ t z))))
114.0ms
(* (sqrt 2.0) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (- (/ (* z 2.0) y) (/ t z)))))
102.0ms
(/ (sqrt (sqrt 2.0)) (- (/ (* z 2.0) y) (/ t z)))

simplify1.9s

Counts
338 → 338
Iterations

Useful iterations: done (1.9s)

IterNodesCost
04149383
19308333
228576897
done50016803

prune786.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize22.0ms

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 expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- times-frac frac-sub flip-- distribute-lft-out--
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt (sqrt (sqrt 2.0)))
10.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))
13.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))
10.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))

series329.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(cbrt (sqrt (sqrt 2.0)))
112.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))
110.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))
108.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))

simplify2.1s

Counts
86 → 86
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
01181369
12181329
24771255
312801219
442121192
done50011192

prune433.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes141.0ms

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
01113
11213
done1213

end0.0ms

sample572.0ms

Algorithm
intervals
Results
350.0ms8000×body80valid