Details

Time bar (total: 7.2s)

sample25.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify99.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02014
13714
28414
325214
462314
5141314
6381414
7500114

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize11.0ms

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)))))
5.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
5.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
115×times-frac
113×add-sqr-sqrt
103×*-un-lft-identity
57×add-cube-cbrt
18×difference-of-squares
14×distribute-lft-out
13×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×div-inv
4×frac-times sub-neg associate-/r*
3×cbrt-undiv div-exp
2×distribute-rgt-in distribute-lft-in diff-log associate-*r/ associate-*l/ associate-/r/
1×pow2 frac-2neg flip3-+ pow-plus pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod flip-+ associate-/l/ unswap-sqr
Counts
4 → 169
Calls
4 calls:
10.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
45.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
20.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
20.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series19.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
4.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
3.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify80.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06612029
129311895
250021844

prune2.6s

Filtered
181 candidates to 125 candidates (30.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1792181
Fresh000
Picked011
Done000
Total1793182

Merged error: 0b

Counts
182 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow (exp 1) (pow (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) 4))
0.5b
(pow (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) 4)
0.6b
(log (pow (exp 1) (pow (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) 4)))
5.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
26×unpow-prod-down
20×*-un-lft-identity
17×pow-unpow
14×add-cube-cbrt sqrt-prod
9×times-frac difference-of-squares
7×pow1 log-prod pow-pow
6×add-exp-log add-log-exp
4×add-cbrt-cube sqr-pow
3×pow-to-exp exp-prod rem-log-exp pow-exp distribute-lft-out--
1×sub-neg flip3-- sqrt-pow1 pow1/2 diff-log log-pow sqrt-pow2 flip--
Counts
4 → 92
Calls
4 calls:
23.0ms
(pow (exp 1) (pow (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) 4))
24.0ms
(pow (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) 4)
2.0ms
(log (pow (exp 1) (pow (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) 4)))
19.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series47.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(pow (exp 1) (pow (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) 4))
10.0ms
(pow (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) 4)
17.0ms
(log (pow (exp 1) (pow (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) 4)))
4.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify64.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05221229
120621099
250031085

prune1.2s

Filtered
104 candidates to 74 candidates (28.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1031104
Fresh101
Picked101
Done011
Total1052107

Merged error: 0b

Counts
107 → 2

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(log (pow (exp 1) (pow (pow (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (* (cbrt 4) (cbrt 4))) (cbrt 4))))
0.8b
(pow (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (* (cbrt 4) (cbrt 4)))
1.0b
(* (cbrt 4) (cbrt 4))
5.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
20×*-un-lft-identity
16×cbrt-prod add-cube-cbrt
13×pow1 unpow-prod-down
8×add-exp-log
7×log-prod sqrt-prod
6×times-frac pow1/3 swap-sqr associate-*r* associate-*l* add-log-exp difference-of-squares
4×add-cbrt-cube unswap-sqr
3×pow-pow rem-log-exp
2×pow-to-exp pow-prod-down pow-exp pow-sqr pow-prod-up distribute-lft-out-- sqr-pow
1×pow2 sub-neg pow-unpow flip3-- sqrt-pow1 pow-plus pow1/2 diff-log prod-exp log-pow *-commutative sqrt-pow2 flip-- cbrt-unprod
Counts
4 → 99
Calls
4 calls:
2.0ms
(log (pow (exp 1) (pow (pow (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (* (cbrt 4) (cbrt 4))) (cbrt 4))))
26.0ms
(pow (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (* (cbrt 4) (cbrt 4)))
5.0ms
(* (cbrt 4) (cbrt 4))
20.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series81.0ms

Counts
4 → 10
Calls
4 calls:
54.0ms
(log (pow (exp 1) (pow (pow (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (* (cbrt 4) (cbrt 4))) (cbrt 4))))
23.0ms
(pow (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (* (cbrt 4) (cbrt 4)))
0.0ms
(* (cbrt 4) (cbrt 4))
4.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify81.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06691488
130001321
250011302

prune2.0s

Filtered
109 candidates to 76 candidates (30.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh000
Picked011
Done011
Total1092111

Merged error: 0b

Counts
111 → 2

regimes181.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01414
11414

end0.0ms

sample474.0ms

Algorithm
intervals
Results
346.0ms8000×body80valid

Profiling

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