Details

Time bar (total: 9.5s)

sample50.0ms

Algorithm
intervals
Results
27.0ms256×body80valid

simplify2.5s

Counts
1 → 1
Iterations
IterNodes
done5000
62972
5703
4242
384
237
120
012

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 (* 1.0 t)))
0.0b
(* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))))
2.9b
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
2.9b
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
34×*-un-lft-identity
16×add-cube-cbrt
15×times-frac
12×difference-of-squares
11×pow1
8×flip3-- add-cbrt-cube swap-sqr add-exp-log flip-- distribute-lft-out-- add-log-exp
6×associate-*r* associate-*l*
4×frac-times sub-neg
3×associate-/r* associate-/l*
2×distribute-rgt-in distribute-lft-in diff-log associate-*l/ associate-*r/ associate-/r/
1×pow2 cbrt-undiv clear-num frac-2neg flip3-+ pow-plus div-exp pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod flip-+ div-inv unswap-sqr
Counts
4 → 107
Calls
4 calls:
8.0ms
(/ 2.0 (+ 1.0 (* 1.0 t)))
143.0ms
(* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))))
14.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
14.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

series244.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ 2.0 (+ 1.0 (* 1.0 t)))
68.0ms
(* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))))
61.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
65.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

simplify1.6s

Counts
119 → 119
Iterations
IterNodes
done5001
22342
1443
0161

prune685.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (/ (- (* 2.0 2.0) (* (/ 2.0 (+ 1.0 (* 1.0 t))) (/ 2.0 (+ 1.0 (* 1.0 t))))) (+ 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))))
0.1b
(* (/ 2.0 (+ 1.0 (* 1.0 t))) (/ 2.0 (+ 1.0 (* 1.0 t))))
2.9b
(- (* 2.0 2.0) (* (/ 2.0 (+ 1.0 (* 1.0 t))) (/ 2.0 (+ 1.0 (* 1.0 t)))))
2.9b
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

rewrite285.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
59×times-frac
54×*-un-lft-identity
42×add-cube-cbrt
37×associate-*r*
21×add-cbrt-cube associate-*l* add-exp-log
15×swap-sqr
13×pow1
10×associate-/r/
9×difference-of-squares
8×add-log-exp
6×prod-exp cbrt-unprod unswap-sqr
5×cbrt-undiv flip3-+ div-exp flip-+ div-inv
4×flip3-- flip-- distribute-lft-out
3×frac-times associate-*l/
2×sub-neg diff-log pow-prod-down associate-*r/ *-commutative distribute-lft-out--
1×pow2 pow-plus pow-sqr pow-prod-up
Counts
4 → 149
Calls
4 calls:
179.0ms
(* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (/ (- (* 2.0 2.0) (* (/ 2.0 (+ 1.0 (* 1.0 t))) (/ 2.0 (+ 1.0 (* 1.0 t))))) (+ 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))))
63.0ms
(* (/ 2.0 (+ 1.0 (* 1.0 t))) (/ 2.0 (+ 1.0 (* 1.0 t))))
12.0ms
(- (* 2.0 2.0) (* (/ 2.0 (+ 1.0 (* 1.0 t))) (/ 2.0 (+ 1.0 (* 1.0 t)))))
25.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

series443.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (/ (- (* 2.0 2.0) (* (/ 2.0 (+ 1.0 (* 1.0 t))) (/ 2.0 (+ 1.0 (* 1.0 t))))) (+ 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))))
78.0ms
(* (/ 2.0 (+ 1.0 (* 1.0 t))) (/ 2.0 (+ 1.0 (* 1.0 t))))
70.0ms
(- (* 2.0 2.0) (* (/ 2.0 (+ 1.0 (* 1.0 t))) (/ 2.0 (+ 1.0 (* 1.0 t)))))
55.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

simplify1.2s

Counts
161 → 161
Iterations
IterNodes
done5001
1937
0285

prune1.0s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify4.0ms

Iterations
IterNodes
done21
121
016

end0.0ms

sample1.2s

Algorithm
intervals
Results
956.0ms8000×body80valid