Details

Time bar (total: 7.8s)

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02014
13814
28714
327414
473714
5180114
6500214

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)))))
4.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite532.0ms

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)))))))
336.0ms
(* (- 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))))
54.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series263.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(/ 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)))))
48.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
45.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify326.0ms

Algorithm
egg-herbie
Counts
834 → 834
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
0193935970
1500133778

prune1.3s

Filtered
834 candidates to 317 candidates (38.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

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)))))
4.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite528.0ms

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)))))))
338.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
49.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
52.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series275.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
67.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
45.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
54.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify328.0ms

Algorithm
egg-herbie
Counts
834 → 834
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
0193935970
1500133778

prune1.7s

Filtered
834 candidates to 317 candidates (38.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

4.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
18.1b
(fma 1 2.0 (- (* (/ (cbrt (/ 2.0 t)) (+ 1.0 (/ 1.0 t))) (/ (* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t))) 1))))
60.6b
(fma (- (/ (cbrt (/ 2.0 t)) (+ 1.0 (/ 1.0 t)))) (/ (* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t))) 1) (* (/ (cbrt (/ 2.0 t)) (+ 1.0 (/ 1.0 t))) (/ (* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t))) 1)))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
534×*-un-lft-identity times-frac
392×add-sqr-sqrt
374×add-cube-cbrt
348×prod-diff
78×distribute-lft-out
30×div-inv
12×associate-/r/
8×add-log-exp
6×flip3-+ fma-neg flip-+ difference-of-squares
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
2×sub-neg flip3-- diff-log flip-- fma-udef distribute-lft-out--
Counts
4 → 410
Calls
4 calls:
51.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
51.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
0.0ms
(fma 1 2.0 (- (* (/ (cbrt (/ 2.0 t)) (+ 1.0 (/ 1.0 t))) (/ (* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t))) 1))))
0.0ms
(fma (- (/ (cbrt (/ 2.0 t)) (+ 1.0 (/ 1.0 t)))) (/ (* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t))) 1) (* (/ (cbrt (/ 2.0 t)) (+ 1.0 (/ 1.0 t))) (/ (* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t))) 1)))

series402.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
44.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
94.0ms
(fma 1 2.0 (- (* (/ (cbrt (/ 2.0 t)) (+ 1.0 (/ 1.0 t))) (/ (* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t))) 1))))
214.0ms
(fma (- (/ (cbrt (/ 2.0 t)) (+ 1.0 (/ 1.0 t)))) (/ (* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t))) 1) (* (/ (cbrt (/ 2.0 t)) (+ 1.0 (/ 1.0 t))) (/ (* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t))) 1)))

simplify142.0ms

Algorithm
egg-herbie
Counts
422 → 422
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
0130515825
1500111933

prune1.3s

Filtered
422 candidates to 180 candidates (42.7%)
Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03957
14457
24657
34657

end0.0ms

sample412.0ms

Algorithm
intervals
Results
317.0ms8000×body80valid