Details

Time bar (total: 8.2s)

sample25.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify52.0ms

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

localize12.0ms

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)))))
3.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite510.0ms

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-exp-log add-cbrt-cube
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 sub-neg associate-/r* log1p-expm1-u
3×cbrt-undiv div-exp
2×diff-log associate-*r/ associate-*l/
1×pow2 frac-2neg pow-plus pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod associate-/l/ unswap-sqr
Counts
4 → 879
Calls
4 calls:
16.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
318.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
46.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
49.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series205.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
61.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
47.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
54.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify314.0ms

Algorithm
egg-herbie
Counts
891 → 891
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
0192736161
1500133972

prune1.5s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)) (fma 2.0 2.0 (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (+ (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 2.0))))
0.2b
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
2.9b
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
3.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
2798×times-frac
2515×*-un-lft-identity
2098×add-sqr-sqrt
1709×add-cube-cbrt
1638×prod-diff
1243×unpow-prod-down cube-prod
377×distribute-lft-out
196×sqr-pow
163×difference-of-squares
146×div-inv
136×cube-mult unpow3
58×associate-/r/
41×associate-/l*
29×flip3-+ flip-+
26×distribute-lft-out--
15×fma-neg
12×add-exp-log add-cbrt-cube
8×add-log-exp
5×pow1 difference-cubes
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
3×pow-unpow flip3-- pow-exp associate-/r* flip-- rem-cube-cbrt
2×sub-neg diff-log associate-/l/
1×cube-div pow-to-exp pow-pow frac-2neg div-sub clear-num
Counts
4 → 2047
Calls
4 calls:
532.0ms
(/ (- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)) (fma 2.0 2.0 (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (+ (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 2.0))))
22.0ms
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
180.0ms
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
48.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series352.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(/ (- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)) (fma 2.0 2.0 (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (+ (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 2.0))))
67.0ms
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
73.0ms
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
44.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify829.0ms

Algorithm
egg-herbie
Counts
2059 → 2059
Iterations

Useful iterations: 1 (51.0ms)

IterNodesCost
0381885156
1500183575

prune3.0s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02528
12528

end0.0ms

sample418.0ms

Algorithm
intervals
Results
325.0ms8000×body80valid