Details

Time bar (total: 21.0s)

sample24.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify7.2s

Counts
1 → 1
Iterations

Useful iterations: 7 (5.1s)

IterNodesCost
01229
12029
23828
38728
425328
565728
6152726
7391722
done500022

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 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)))))
1.9b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.9b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
1115×*-un-lft-identity
1102×times-frac
844×add-sqr-sqrt
783×add-cube-cbrt
741×prod-diff
176×distribute-rgt-in distribute-lft-in
156×distribute-lft-out
63×div-inv
30×associate-/r/
20×difference-of-squares
15×flip3-+ flip-+
11×pow1
10×add-log-exp
9×flip3-- fma-neg swap-sqr flip-- distribute-lft-out--
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
5×sub-neg
4×expm1-log1p-u frac-times log1p-expm1-u
3×diff-log
2×associate-*r/ associate-*l/
1×pow2 pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 856
Calls
4 calls:
47.0ms
(- 1.0 (/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))))
703.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
98.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
110.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series442.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(- 1.0 (/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))))
102.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
67.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
75.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify2.1s

Counts
868 → 868
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0107774095
1219268321
done500053734

prune2.0s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
0.2b
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
1.9b
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
1.9b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
3037×times-frac
2807×*-un-lft-identity
1980×add-sqr-sqrt
1859×add-cube-cbrt
1638×prod-diff
1147×unpow-prod-down cube-prod
455×distribute-lft-out
169×div-inv
148×sqr-pow
136×cube-mult unpow3
84×swap-sqr
66×associate-/r/
58×associate-*r* associate-*l*
46×add-exp-log add-cbrt-cube
35×difference-of-squares
33×flip3-+ flip-+
21×cbrt-undiv div-exp
15×fma-neg
12×pow1
9×prod-exp cbrt-unprod unswap-sqr
8×add-log-exp
6×distribute-lft-out--
4×expm1-log1p-u log1p-expm1-u
3×pow-unpow pow-exp rem-cube-cbrt
2×sub-neg flip3-- diff-log flip--
1×difference-cubes cube-div pow2 frac-times pow-to-exp pow-pow pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up
Counts
4 → 2108
Calls
4 calls:
180.0ms
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
39.0ms
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
308.0ms
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
113.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series365.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
99.0ms
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
91.0ms
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
78.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify3.6s

Counts
2120 → 2120
Iterations

Useful iterations: done (3.3s)

IterNodesCost
01544161484
14148137369
done5001125205

prune2.6s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02269
12869
done2869

end0.0ms

sample663.0ms

Algorithm
intervals
Results
474.0ms8000×body80valid