Details

Time bar (total: 23.4s)

sample18.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify5.7s

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01035
12035
24633
311933
431333
556433
676633
7101933
8144733
done500033

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
0.0b
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

rewrite278.0ms

Algorithm
rewrite-expression-head
Rules
78×add-exp-log add-cbrt-cube
57×*-un-lft-identity
49×times-frac
33×add-sqr-sqrt
30×prod-exp cbrt-unprod
29×add-cube-cbrt
25×cbrt-undiv div-exp
24×swap-sqr
20×associate-*r* associate-*l*
18×pow1 associate-/r/
12×distribute-lft-out
11×flip3-+ flip-+
9×div-inv
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×fma-def associate-/r* associate-/l*
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up associate-/l/ unswap-sqr
1×+-commutative frac-2neg clear-num sum-log
Counts
4 → 187
Calls
4 calls:
15.0ms
(+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
51.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
93.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
103.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series393.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
182.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
63.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
80.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify2.2s

Counts
199 → 199
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02205314
16184722
223023724
done50013424

prune626.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ 1.0 (/ (* (* 2.0 t) (/ (* 2.0 t) (+ 1.0 t))) (+ 1.0 t))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.0b
(* (* 2.0 t) (/ (* 2.0 t) (+ 1.0 t)))
0.0b
(/ (* (* 2.0 t) (/ (* 2.0 t) (+ 1.0 t))) (+ 1.0 t))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

rewrite359.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
53×*-un-lft-identity
40×times-frac
37×prod-exp cbrt-unprod
28×cbrt-undiv div-exp
27×add-sqr-sqrt
25×add-cube-cbrt
20×associate-*r*
16×pow1
14×associate-/r/
13×distribute-lft-out
12×swap-sqr
11×associate-*l*
8×flip3-+ flip-+
7×associate-/r* div-inv
5×associate-/l*
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×associate-*r/ associate-/l/
2×frac-2neg clear-num *-commutative
1×pow2 frac-times pow-plus associate-*l/ pow-sqr pow-prod-up unswap-sqr
Counts
4 → 180
Calls
4 calls:
130.0ms
(/ (+ 1.0 (/ (* (* 2.0 t) (/ (* 2.0 t) (+ 1.0 t))) (+ 1.0 t))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
50.0ms
(* (* 2.0 t) (/ (* 2.0 t) (+ 1.0 t)))
66.0ms
(/ (* (* 2.0 t) (/ (* 2.0 t) (+ 1.0 t))) (+ 1.0 t))
105.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series385.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(/ (+ 1.0 (/ (* (* 2.0 t) (/ (* 2.0 t) (+ 1.0 t))) (+ 1.0 t))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
68.0ms
(* (* 2.0 t) (/ (* 2.0 t) (+ 1.0 t)))
74.0ms
(/ (* (* 2.0 t) (/ (* 2.0 t) (+ 1.0 t))) (+ 1.0 t))
61.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify2.6s

Counts
192 → 192
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02835123
18074627
235373629
done50003360

prune605.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (fma (sqrt 2.0) (sqrt 2.0) (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.4b
(fma (sqrt 2.0) (sqrt 2.0) (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))

rewrite686.0ms

Algorithm
rewrite-expression-head
Rules
78×add-exp-log add-cbrt-cube
56×*-un-lft-identity
49×times-frac
32×add-sqr-sqrt
30×prod-exp cbrt-unprod
28×add-cube-cbrt
25×cbrt-undiv div-exp
24×swap-sqr
20×associate-*r* associate-*l*
18×pow1
16×associate-/r/
12×distribute-lft-out
9×flip3-+ flip-+ div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* associate-/l*
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up associate-/l/ unswap-sqr
1×frac-2neg clear-num fma-udef
Counts
4 → 179
Calls
4 calls:
43.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (fma (sqrt 2.0) (sqrt 2.0) (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
506.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
128.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
1.0ms
(fma (sqrt 2.0) (sqrt 2.0) (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))

series727.0ms

Counts
4 → 12
Calls
4 calls:
462.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (fma (sqrt 2.0) (sqrt 2.0) (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
74.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
76.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
116.0ms
(fma (sqrt 2.0) (sqrt 2.0) (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))

simplify2.2s

Counts
191 → 191
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02425449
16684780
224793891
done50003441

prune641.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ (* 2.0 t) (+ 1.0 t)))
0.0b
(/ 1 (/ (+ (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)) 2.0) (+ 1.0 (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)))))
0.7b
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))
0.7b
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))

rewrite347.0ms

Algorithm
rewrite-expression-head
Rules
147×*-un-lft-identity
142×times-frac
74×add-sqr-sqrt
73×add-cube-cbrt
37×distribute-lft-out
30×sqrt-prod
26×unpow-prod-down
22×associate-/r*
17×add-exp-log
15×associate-/r/
10×pow1
9×add-cbrt-cube
8×pow-unpow div-inv
7×flip3-+ div-exp flip-+
6×pow-pow
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv sqrt-pow1 pow1/2 associate-/l*
2×unpow-prod-up pow-to-exp rec-exp 1-exp pow-exp sqrt-pow2 sqr-pow
1×rem-sqrt-square pow-flip frac-2neg sqrt-div clear-num inv-pow
Counts
4 → 205
Calls
4 calls:
24.0ms
(sqrt (/ (* 2.0 t) (+ 1.0 t)))
266.0ms
(/ 1 (/ (+ (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)) 2.0) (+ 1.0 (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)))))
19.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))
20.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))

series1.5s

Counts
4 → 12
Calls
4 calls:
123.0ms
(sqrt (/ (* 2.0 t) (+ 1.0 t)))
842.0ms
(/ 1 (/ (+ (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)) 2.0) (+ 1.0 (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)))))
255.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))
248.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))

simplify2.3s

Counts
217 → 217
Iterations

Useful iterations: done (2.3s)

IterNodesCost
04237975
110866475
232505899
done50005867

prune820.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01235
11735
done1735

end0.0ms

sample833.0ms

Algorithm
intervals
Results
673.0ms8000×body80valid