Details

Time bar (total: 23.1s)

sample87.0ms

Algorithm
intervals
Results
67.0ms256×body80valid

simplify3.8s

Counts
1 → 1
Iterations
IterNodes
done5000
63207
5787
4266
387
238
120
012

prune17.0ms

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

rewrite817.0ms

Algorithm
rewrite-expression-head
Rules
1171×times-frac
1153×*-un-lft-identity
851×add-sqr-sqrt
795×add-cube-cbrt
696×prod-diff
176×distribute-rgt-in distribute-lft-in
170×distribute-lft-out
66×div-inv
26×associate-/r/
18×difference-of-squares
13×flip3-+ flip-+ associate-/l*
11×pow1 add-cbrt-cube add-exp-log
9×swap-sqr
8×flip3-- flip-- distribute-lft-out-- add-log-exp
7×associate-*r* associate-*l*
6×fma-neg
4×expm1-log1p-u frac-times associate-/r* sub-neg log1p-expm1-u
3×cbrt-undiv div-exp
2×diff-log associate-*l/ associate-*r/
1×pow2 clear-num frac-2neg pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr associate-/l/
Counts
4 → 879
Calls
4 calls:
40.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
527.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
72.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
66.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series302.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
83.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
71.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
73.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify3.4s

Counts
891 → 891
Iterations
IterNodes
done5002
12362
0945

prune5.7s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

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

rewrite882.0ms

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-cbrt-cube add-exp-log
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 log1p-expm1-u flip--
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 → 508
Calls
4 calls:
545.0ms
(* (- 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))))))
184.0ms
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
15.0ms
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
78.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series1.1s

Counts
4 → 12
Calls
4 calls:
357.0ms
(* (- 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))))))
90.0ms
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
534.0ms
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
84.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify2.6s

Counts
520 → 520
Iterations
IterNodes
done5000
12749
0818

prune3.3s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify5.0ms

Iterations
IterNodes
done21
121
017

end0.0ms

sample1.1s

Algorithm
intervals
Results
871.0ms8000×body80valid