Details

Time bar (total: 30.9s)

sample51.0ms

Algorithm
intervals
Results
28.0ms256×body80valid

simplify5.0s

Counts
1 → 1
Iterations
IterNodes
done5003
81815
7807
6629
5427
4227
396
243
120
010

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize112.0ms

Local error

Found 4 expressions with local error:

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

rewrite451.0ms

Algorithm
rewrite-expression-head
Rules
78×add-cbrt-cube add-exp-log
57×*-un-lft-identity
49×times-frac
33×add-sqr-sqrt
30×prod-exp cbrt-unprod
29×add-cube-cbrt
25×cbrt-undiv div-exp
24×swap-sqr
20×associate-*r* associate-*l*
18×pow1 associate-/r/
12×distribute-lft-out
11×flip3-+ flip-+
9×div-inv
6×add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/r* fma-def associate-/l*
2×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up unswap-sqr associate-/l/
1×+-commutative clear-num sum-log frac-2neg
Counts
4 → 191
Calls
4 calls:
16.0ms
(+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
112.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
151.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
147.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series417.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
164.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
97.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
82.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify6.1s

Counts
203 → 203
Iterations
IterNodes
done5000
22544
1665
0221

prune1.8s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize181.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
1.4b
(log (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

rewrite449.0ms

Algorithm
rewrite-expression-head
Rules
76×add-cbrt-cube add-exp-log
49×*-un-lft-identity
40×times-frac
30×prod-exp cbrt-unprod
25×add-sqr-sqrt
24×cbrt-undiv swap-sqr div-exp
21×add-cube-cbrt
20×associate-*r* associate-*l*
19×pow1
16×associate-/r/
12×distribute-lft-out
8×flip3-+ flip-+ div-inv
7×add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×log-prod log-pow
2×pow2 frac-times exp-prod pow-plus exp-to-pow pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up unswap-sqr
1×rem-log-exp rem-exp-log
Counts
4 → 170
Calls
4 calls:
21.0ms
(exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
202.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
174.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
20.0ms
(log (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

series320.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
67.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
59.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
77.0ms
(log (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

simplify4.8s

Counts
182 → 182
Iterations
IterNodes
done5008
21965
1509
0169

prune1.6s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize230.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
1.4b
(log (sqrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))
1.4b
(log (sqrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))

rewrite377.0ms

Algorithm
rewrite-expression-head
Rules
78×add-exp-log
76×add-cbrt-cube
52×*-un-lft-identity
40×times-frac
30×prod-exp cbrt-unprod
28×add-sqr-sqrt
24×cbrt-undiv swap-sqr div-exp add-cube-cbrt
22×pow1
20×associate-*r* associate-*l*
16×associate-/r/
12×log-prod distribute-lft-out
10×log-pow
8×flip3-+ flip-+ div-inv
6×sqrt-pow1 sqrt-prod add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
2×pow2 frac-times exp-prod pow-plus exp-to-pow pow1/2 rem-log-exp pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up unswap-sqr
Counts
4 → 184
Calls
4 calls:
159.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
170.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
15.0ms
(log (sqrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))
15.0ms
(log (sqrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))

series880.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
74.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
311.0ms
(log (sqrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))
396.0ms
(log (sqrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))

simplify4.9s

Counts
196 → 196
Iterations
IterNodes
done5002
22006
1512
0176

prune2.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify18.0ms

Iterations
IterNodes
done18
118
014

end0.0ms

sample954.0ms

Algorithm
intervals
Results
764.0ms8000×body80valid