Details

Time bar (total: 10.8s)

sample78.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5004
73233
61100
5543
4228
382
237
120
012

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite208.0ms

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:
14.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))))))
148.0ms
(* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))))
25.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
14.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

series320.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))))))
67.0ms
(* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))))
64.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
73.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

simplify1.6s

Counts
119 → 119
Iterations
IterNodes
done5000
21693
1443
0172

prune557.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
80×times-frac
60×*-un-lft-identity add-cube-cbrt
30×swap-sqr associate-*r* associate-*l*
28×add-cbrt-cube add-exp-log
18×pow1
16×associate-/r/
8×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
2×pow2 frac-times sub-neg pow-plus flip3-- diff-log pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up flip-- difference-of-squares
Counts
4 → 172
Calls
4 calls:
52.0ms
(* (/ 2.0 (+ 1.0 (* 1.0 t))) (/ 2.0 (+ 1.0 (* 1.0 t))))
44.0ms
(* (/ 2.0 (+ 1.0 (* 1.0 t))) (/ 2.0 (+ 1.0 (* 1.0 t))))
8.0ms
(- (* 2.0 2.0) (* (/ 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)))))

series279.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* (/ 2.0 (+ 1.0 (* 1.0 t))) (/ 2.0 (+ 1.0 (* 1.0 t))))
54.0ms
(* (/ 2.0 (+ 1.0 (* 1.0 t))) (/ 2.0 (+ 1.0 (* 1.0 t))))
82.0ms
(- (* 2.0 2.0) (* (/ 2.0 (+ 1.0 (* 1.0 t))) (/ 2.0 (+ 1.0 (* 1.0 t)))))
65.0ms
(- (* 2.0 2.0) (* (/ 2.0 (+ 1.0 (* 1.0 t))) (/ 2.0 (+ 1.0 (* 1.0 t)))))

simplify2.0s

Counts
184 → 184
Iterations
IterNodes
done5000
22080
1591
0177

prune1.0s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations
IterNodes
done20
120
016

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s8000×body80valid