Details

Time bar (total: 7.2m)

sample48.0ms

Algorithm
intervals
Results
34.0ms256×body80valid

simplify289.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
288.0ms
(/ (+ 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)))))))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

2.4b
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))
2.4b
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))
2.4b
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))
2.4b
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))

rewrite486.0ms

Algorithm
rewrite-expression-head
Rules
1356×*-un-lft-identity
1332×times-frac
916×add-sqr-sqrt
880×add-cube-cbrt
852×prod-diff
312×distribute-lft-out
228×div-inv
24×associate-/r/
12×flip3-+ fma-neg flip-+ add-log-exp difference-of-squares
expm1-log1p-u pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log insert-posit16 log1p-expm1-u flip-- distribute-lft-out--
Counts
4 → 940
Calls
4 calls:
Slowest
350.0ms
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))
28.0ms
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))
26.0ms
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))
23.0ms
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))

series179.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
63.0ms
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))
43.0ms
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))
42.0ms
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))
32.0ms
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))

simplify7.0m

Counts
1756 → 952
Calls
1756 calls:
Slowest
914.0ms
(fma (- (/ (/ (cbrt 2) (cbrt t)) (+ 1 (/ 1 t)))) (/ (/ (* (cbrt 2) (cbrt 2)) (* (cbrt t) (cbrt t))) 1) (* (/ (/ (cbrt 2) (cbrt t)) (+ 1 (/ 1 t))) (/ (/ (* (cbrt 2) (cbrt 2)) (* (cbrt t) (cbrt t))) 1)))
879.0ms
(fma 1 2 (- (* (/ (cbrt (/ 2 t)) (+ 1 (/ 1 t))) (/ (* (cbrt (/ 2 t)) (cbrt (/ 2 t))) 1))))
851.0ms
(fma (- (/ (/ (sqrt 2) (cbrt t)) (cbrt (+ 1 (/ 1 t))))) (/ (/ (sqrt 2) (* (cbrt t) (cbrt t))) (* (cbrt (+ 1 (/ 1 t))) (cbrt (+ 1 (/ 1 t))))) (* (/ (/ (sqrt 2) (cbrt t)) (cbrt (+ 1 (/ 1 t)))) (/ (/ (sqrt 2) (* (cbrt t) (cbrt t))) (* (cbrt (+ 1 (/ 1 t))) (cbrt (+ 1 (/ 1 t)))))))
834.0ms
(fma 1 2 (- (* (/ (/ 2 (cbrt t)) (cbrt (+ 1 (/ 1 t)))) (/ (/ 1 (* (cbrt t) (cbrt t))) (* (cbrt (+ 1 (/ 1 t))) (cbrt (+ 1 (/ 1 t))))))))
804.0ms
(fma (* (cbrt 2) (cbrt 2)) (cbrt 2) (- (* (/ (/ 2 t) (sqrt (+ 1 (/ 1 t)))) (/ (/ 1 1) (sqrt (+ 1 (/ 1 t)))))))

prune11.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

2.4b
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))
2.4b
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))
2.4b
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))
2.4b
(fma 1 2 (- (* (cbrt (/ (/ 2 t) (+ 1 (/ 1 t)))) (* (cbrt (/ (/ 2 t) (+ 1 (/ 1 t)))) (cbrt (/ (/ 2 t) (+ 1 (/ 1 t))))))))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
1018×*-un-lft-identity
999×times-frac
688×add-sqr-sqrt
661×add-cube-cbrt
639×prod-diff
234×distribute-lft-out
171×div-inv
18×associate-/r/
10×add-log-exp
flip3-+ fma-neg flip-+ difference-of-squares
expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
sub-neg flip3-- diff-log flip-- distribute-lft-out--
fma-udef
Counts
4 → 716
Calls
4 calls:
Slowest
47.0ms
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))
45.0ms
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))
24.0ms
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))
0.0ms
(fma 1 2 (- (* (cbrt (/ (/ 2 t) (+ 1 (/ 1 t)))) (* (cbrt (/ (/ 2 t) (+ 1 (/ 1 t)))) (cbrt (/ (/ 2 t) (+ 1 (/ 1 t))))))))

series200.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
97.0ms
(fma 1 2 (- (* (cbrt (/ (/ 2 t) (+ 1 (/ 1 t)))) (* (cbrt (/ (/ 2 t) (+ 1 (/ 1 t)))) (cbrt (/ (/ 2 t) (+ 1 (/ 1 t))))))))
39.0ms
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))
38.0ms
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))
26.0ms
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))