Details

Time bar (total: 13.5s)

sample27.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify4.4s

Counts
1 → 1
Iterations

Useful iterations: 7 (3.5s)

IterNodesCost
01229
12029
23828
38728
425328
565728
6152726
7391722
done500022

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
0.0b
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
2.2b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.2b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite633.0ms

Algorithm
rewrite-expression-head
Rules
1084×*-un-lft-identity
1083×times-frac
810×add-sqr-sqrt
754×add-cube-cbrt
696×prod-diff
176×distribute-rgt-in distribute-lft-in
156×distribute-lft-out
61×div-inv
26×associate-/r/
18×difference-of-squares
13×flip3-+ flip-+
11×pow1
9×swap-sqr
8×add-exp-log flip3-- add-cbrt-cube flip-- distribute-lft-out-- add-log-exp
7×associate-*r* associate-*l*
6×fma-neg
4×expm1-log1p-u frac-times sub-neg log1p-expm1-u
3×associate-/r* associate-/l*
2×diff-log associate-*r/ associate-*l/
1×cbrt-undiv pow2 frac-2neg pow-plus div-exp pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 822
Calls
4 calls:
8.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
417.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
64.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
65.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series277.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
66.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
45.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
55.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify1.3s

Counts
834 → 834
Iterations

Useful iterations: done (1.2s)

IterNodesCost
096465846
1190061174
done500049051

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ 1.0 (/ 1.0 t)) t)
0.1b
(* (+ 1.0 (/ 1.0 t)) t)
7.1b
(- 2.0 (/ 2.0 (* (+ 1.0 (/ 1.0 t)) t)))
7.1b
(- 2.0 (/ 2.0 (* (+ 1.0 (/ 1.0 t)) t)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
54×prod-diff
48×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
18×times-frac
16×associate-*l/
12×associate-/r/
8×pow1 add-exp-log flip3-+ associate-*l* add-cbrt-cube flip-+ add-log-exp
6×fma-neg associate-*r* div-inv
4×expm1-log1p-u log1p-expm1-u
2×sub-neg flip3-- diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 138
Calls
4 calls:
36.0ms
(* (+ 1.0 (/ 1.0 t)) t)
37.0ms
(* (+ 1.0 (/ 1.0 t)) t)
17.0ms
(- 2.0 (/ 2.0 (* (+ 1.0 (/ 1.0 t)) t)))
19.0ms
(- 2.0 (/ 2.0 (* (+ 1.0 (/ 1.0 t)) t)))

series216.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (+ 1.0 (/ 1.0 t)) t)
61.0ms
(* (+ 1.0 (/ 1.0 t)) t)
45.0ms
(- 2.0 (/ 2.0 (* (+ 1.0 (/ 1.0 t)) t)))
49.0ms
(- 2.0 (/ 2.0 (* (+ 1.0 (/ 1.0 t)) t)))

simplify1.2s

Counts
150 → 150
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01684644
14173900
213032954
done50002474

prune344.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (/ (- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (+ 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
0.1b
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.2b
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
2.2b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite633.0ms

Algorithm
rewrite-expression-head
Rules
745×times-frac
667×*-un-lft-identity
454×add-sqr-sqrt
395×add-cube-cbrt
175×prod-diff
121×distribute-lft-out
84×swap-sqr
80×associate-*r*
65×associate-*l*
45×add-exp-log add-cbrt-cube
40×div-inv
19×cbrt-undiv div-exp
16×associate-/r/
13×pow1
11×prod-exp cbrt-unprod difference-of-squares unswap-sqr
8×flip3-+ flip-+ add-log-exp
4×expm1-log1p-u flip3-- fma-neg flip-- log1p-expm1-u
3×frac-times associate-*l/
2×sub-neg diff-log associate-*r/ pow-prod-down *-commutative distribute-lft-out--
1×pow2 pow-plus pow-sqr pow-prod-up
Counts
4 → 508
Calls
4 calls:
378.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (/ (- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (+ 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
144.0ms
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
8.0ms
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
63.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series380.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (/ (- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (+ 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
51.0ms
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
58.0ms
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
55.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify974.0ms

Counts
520 → 520
Iterations

Useful iterations: done (943.0ms)

IterNodesCost
081824965
1244322933
done500019072

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01330
11530
done1530

end0.0ms

sample426.0ms

Algorithm
intervals
Results
307.0ms8000×body80valid