Details

Time bar (total: 5.6s)

sample32.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02014
13814
28714
327414
473714
5180114
6500214

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 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)))))
2.2b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.2b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite505.0ms

Algorithm
rewrite-expression-head
Rules
1084×*-un-lft-identity
1083×times-frac
810×add-sqr-sqrt
754×add-cube-cbrt
696×prod-diff
176×distribute-rgt-in distribute-lft-in
156×distribute-lft-out
61×div-inv
26×associate-/r/
18×difference-of-squares
13×flip3-+ flip-+
11×pow1
9×swap-sqr
8×add-exp-log flip3-- add-cbrt-cube flip-- distribute-lft-out-- add-log-exp
7×associate-*r* associate-*l*
6×fma-neg
4×expm1-log1p-u frac-times sub-neg log1p-expm1-u
3×associate-/r* associate-/l*
2×diff-log associate-*r/ associate-*l/
1×cbrt-undiv pow2 frac-2neg pow-plus div-exp pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 822
Calls
4 calls:
4.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
322.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
50.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
51.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series288.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
64.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
51.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
55.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify310.0ms

Algorithm
egg-herbie
Counts
834 → 834
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
0193935970
1500133778

prune1.6s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 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))))
2.2b
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
2.2b
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

rewrite293.0ms

Algorithm
rewrite-expression-head
Rules
916×times-frac
760×*-un-lft-identity
468×add-sqr-sqrt
396×add-cube-cbrt
168×swap-sqr
156×distribute-lft-out
116×associate-*r* associate-*l*
76×add-exp-log add-cbrt-cube
48×div-inv
36×cbrt-undiv div-exp
18×pow1 prod-exp cbrt-unprod unswap-sqr
16×associate-/r/
8×flip3-+ flip-+ add-log-exp
4×expm1-log1p-u log1p-expm1-u
2×pow2 frac-times sub-neg flip3-- pow-plus fma-neg diff-log associate-*r/ prod-diff pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up flip-- difference-of-squares
Counts
4 → 524
Calls
4 calls:
119.0ms
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
119.0ms
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.0ms
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
3.0ms
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

series242.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
59.0ms
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
58.0ms
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
67.0ms
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

simplify110.0ms

Algorithm
egg-herbie
Counts
536 → 536
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
014288122
150017496

prune1.4s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02038
12038

end0.0ms

sample808.0ms

Algorithm
intervals
Results
712.0ms8000×body80valid