Details

Time bar (total: 4.9m)

sample64.0ms

Algorithm
intervals
Results
47.0ms256×body80valid

simplify272.0ms

Calls
1 calls:
Slowest
271.0ms
(/ (+ 1 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))) (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

4.0b
(- 2 (/ 2 (+ 1 t)))
4.0b
(- 2 (/ 2 (+ 1 t)))
4.0b
(- 2 (/ 2 (+ 1 t)))
4.0b
(- 2 (/ 2 (+ 1 t)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
256×*-un-lft-identity
216×prod-diff
196×add-sqr-sqrt
176×add-cube-cbrt
148×times-frac
36×distribute-lft-out
24×associate-/r/
12×flip3-+ fma-neg flip-+ div-inv add-log-exp
8×difference-of-squares
4×expm1-log1p-u pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log insert-posit16 log1p-expm1-u flip-- distribute-lft-out--
Calls
4 calls:
Slowest
17.0ms
(- 2 (/ 2 (+ 1 t)))
13.0ms
(- 2 (/ 2 (+ 1 t)))
13.0ms
(- 2 (/ 2 (+ 1 t)))
13.0ms
(- 2 (/ 2 (+ 1 t)))

series97.0ms

Calls
4 calls:
Slowest
30.0ms
(- 2 (/ 2 (+ 1 t)))
26.0ms
(- 2 (/ 2 (+ 1 t)))
20.0ms
(- 2 (/ 2 (+ 1 t)))
20.0ms
(- 2 (/ 2 (+ 1 t)))

simplify1.4m

Calls
476 calls:
Slowest
912.0ms
(fma (* (cbrt 2) (cbrt 2)) (cbrt 2) (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))
549.0ms
(fma 1 2 (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))
543.0ms
(fma (* (cbrt 2) (cbrt 2)) (cbrt 2) (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))
541.0ms
(fma (* (cbrt 2) (cbrt 2)) (cbrt 2) (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))
536.0ms
(fma (- (/ (sqrt 2) (cbrt (+ 1 t)))) (/ (sqrt 2) (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))) (* (/ (sqrt 2) (cbrt (+ 1 t))) (/ (sqrt 2) (* (cbrt (+ 1 t)) (cbrt (+ 1 t))))))

prune2.9s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

4.0b
(- 2 (/ 2 (+ 1 t)))
4.0b
(- 2 (/ 2 (+ 1 t)))
4.0b
(- 2 (/ 2 (+ 1 t)))
4.0b
(log (/ (exp 2) (exp (/ 2 (+ 1 t)))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
210×*-un-lft-identity
162×prod-diff
158×add-sqr-sqrt
143×add-cube-cbrt
123×times-frac
27×distribute-lft-out
18×associate-/r/
16×log-prod
11×div-inv
10×log-div add-log-exp
9×flip3-+ fma-neg add-exp-log flip-+
6×pow1 difference-of-squares
5×rem-log-exp associate-/l*
4×expm1-log1p-u add-cbrt-cube div-exp insert-posit16 log1p-expm1-u exp-lft-sqr
3×exp-prod associate-/r* sub-neg flip3-- diff-log log-pow flip-- distribute-lft-out--
2×clear-num log-rec pow-div
1×frac-2neg
Calls
4 calls:
Slowest
27.0ms
(- 2 (/ 2 (+ 1 t)))
22.0ms
(log (/ (exp 2) (exp (/ 2 (+ 1 t)))))
20.0ms
(- 2 (/ 2 (+ 1 t)))
15.0ms
(- 2 (/ 2 (+ 1 t)))

series224.0ms

Calls
4 calls:
Slowest
156.0ms
(log (/ (exp 2) (exp (/ 2 (+ 1 t)))))
25.0ms
(- 2 (/ 2 (+ 1 t)))
22.0ms
(- 2 (/ 2 (+ 1 t)))
21.0ms
(- 2 (/ 2 (+ 1 t)))

simplify1.1m

Calls
393 calls:
Slowest
914.0ms
(fma (* (cbrt 2) (cbrt 2)) (cbrt 2) (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))
868.0ms
(fma (sqrt 2) (sqrt 2) (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))
527.0ms
(fma (* (cbrt 2) (cbrt 2)) (cbrt 2) (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))
509.0ms
(fma (* (cbrt 2) (cbrt 2)) (cbrt 2) (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))
500.0ms
(fma 1 2 (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))

prune3.8s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize104.0ms

Local error

Found 4 expressions with local error:

4.0b
(- 2 (/ 2 (+ 1 t)))
4.0b
(- 2 (/ 2 (+ 1 t)))
4.0b
(log (/ (exp 2) (exp (/ 2 (+ 1 t)))))
2.7b
(- 2 (/ 2 (- 1 (* t t))))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
359×add-sqr-sqrt
339×*-un-lft-identity
261×prod-diff
222×times-frac
209×add-cube-cbrt
96×difference-of-squares
21×distribute-lft-out--
18×swap-sqr associate-/r/ *-commutative distribute-lft-out unswap-sqr
16×log-prod
11×div-inv
10×log-div add-log-exp
9×fma-neg associate-*l* add-exp-log
6×pow1 flip3-+ flip3-- flip-+ flip--
5×rem-log-exp associate-/l*
4×expm1-log1p-u add-cbrt-cube div-exp insert-posit16 log1p-expm1-u exp-lft-sqr
3×exp-prod associate-/r* sub-neg diff-log log-pow
2×clear-num log-rec pow-div
1×frac-2neg
Calls
4 calls:
Slowest
65.0ms
(- 2 (/ 2 (- 1 (* t t))))
29.0ms
(log (/ (exp 2) (exp (/ 2 (+ 1 t)))))
26.0ms
(- 2 (/ 2 (+ 1 t)))
26.0ms
(- 2 (/ 2 (+ 1 t)))

series310.0ms

Calls
4 calls:
Slowest
187.0ms
(log (/ (exp 2) (exp (/ 2 (+ 1 t)))))
46.0ms
(- 2 (/ 2 (- 1 (* t t))))
43.0ms
(- 2 (/ 2 (+ 1 t)))
34.0ms
(- 2 (/ 2 (+ 1 t)))

simplify2.1m

Calls
591 calls:
Slowest
680.0ms
(fma (- (/ (cbrt 2) (cbrt (+ 1 t)))) (/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))) (* (/ (cbrt 2) (cbrt (+ 1 t))) (/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ 1 t)) (cbrt (+ 1 t))))))
674.0ms
(fma (* (cbrt 2) (cbrt 2)) (cbrt 2) (- (* (/ (cbrt 2) (- 1 t)) (/ (* (cbrt 2) (cbrt 2)) (+ 1 t)))))
663.0ms
(fma (sqrt 2) (sqrt 2) (- (* (/ (cbrt 2) (- 1 t)) (/ (* (cbrt 2) (cbrt 2)) (+ 1 t)))))
633.0ms
(fma (- (/ (cbrt 2) (- 1 (sqrt (* t t))))) (/ (* (cbrt 2) (cbrt 2)) (+ 1 (sqrt (* t t)))) (* (/ (cbrt 2) (- 1 (sqrt (* t t)))) (/ (* (cbrt 2) (cbrt 2)) (+ 1 (sqrt (* t t))))))
544.0ms
(fma (* (cbrt 2) (cbrt 2)) (cbrt 2) (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))

prune6.9s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.4s8000×body80valid