Details

Time bar (total: 4.2s)

analyze654.0ms

Algorithm
search

sample23.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms76×body80invalid

simplify145.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1314
2574
3914
41174
51364
61584
72124
84214
98804
1016184
1129914
1247574
1350014

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.3b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
6.9b
(* (/ x y) (- z t))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
associate-*r*
pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
7.0ms
(+ (* (/ x y) (- z t)) t)
9.0ms
(* (/ x y) (- z t))

series24.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(+ (* (/ x y) (- z t)) t)
12.0ms
(* (/ x y) (- z t))

simplify33.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0314342
11191302
25002302

prune87.0ms

Filtered
43 candidates to 63 candidates (-46.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New57663
Fresh000
Picked101
Done000
Total58664

Merged error: 0b

Counts
64 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* t (/ x y)))
0.0b
(+ (* (/ x y) z) (- t (* t (/ x y))))
4.1b
(* (/ x y) z)
5.1b
(* t (/ x y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity times-frac
16×associate-*r* associate-*l*
14×add-exp-log add-cbrt-cube
11×add-log-exp
pow1
prod-exp cbrt-unprod unswap-sqr
associate-*l/
cbrt-undiv sub-neg associate-+r+ flip3-- diff-log div-exp pow-prod-down frac-add sum-log *-commutative flip-- div-inv
+-commutative associate-+r- flip3-+ associate-*r/ flip-+
Counts
4 → 93
Calls
4 calls:
2.0ms
(- t (* t (/ x y)))
6.0ms
(+ (* (/ x y) z) (- t (* t (/ x y))))
7.0ms
(* (/ x y) z)
6.0ms
(* t (/ x y))

series26.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- t (* t (/ x y)))
10.0ms
(+ (* (/ x y) z) (- t (* t (/ x y))))
5.0ms
(* (/ x y) z)
5.0ms
(* t (/ x y))

simplify50.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0437525
12109485
25002470

prune96.0ms

Filtered
74 candidates to 105 candidates (-41.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1050105
Fresh055
Picked011
Done000
Total1056111

Merged error: 0b

Counts
111 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x (- z t)) y) t)
0.0b
(* x (- z t))
6.5b
(/ (* x (- z t)) y)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
add-cube-cbrt
pow1 associate-*r* add-log-exp
associate-*r/
times-frac associate-*l* associate-/r*
cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
7.0ms
(+ (/ (* x (- z t)) y) t)
6.0ms
(* x (- z t))
6.0ms
(/ (* x (- z t)) y)

series28.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (/ (* x (- z t)) y) t)
7.0ms
(* x (- z t))
11.0ms
(/ (* x (- z t)) y)

simplify33.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0288331
11163295
25001283

prune68.0ms

Filtered
43 candidates to 70 candidates (-62.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New69170
Fresh134
Picked011
Done011
Total70676

Merged error: 0b

Counts
76 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x (/ y (- z t))) t)
0.0b
(/ y (- z t))
7.9b
(/ x (/ y (- z t)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-- flip-- add-log-exp
cbrt-undiv div-exp
pow1
frac-2neg clear-num
+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
23.0ms
(+ (/ x (/ y (- z t))) t)
5.0ms
(/ y (- z t))
8.0ms
(/ x (/ y (- z t)))

series31.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (/ x (/ y (- z t))) t)
7.0ms
(/ y (- z t))
14.0ms
(/ x (/ y (- z t)))

simplify57.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05371153
123601113
250021110

prune116.0ms

Filtered
119 candidates to 160 candidates (-34.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1600160
Fresh033
Picked011
Done022
Total1606166

Merged error: 0b

Counts
166 → 6

regimes352.0ms

Accuracy

-27.6% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.0b

bsearch1.1s

Steps
ItersRangePoint
9
6.11979072615062e-46
6.618163068242345e-37
9.877686156023157e-45
8
-1.337239467402888e-110
-1.3039442443445294e-114
-1.3982215602934908e-111

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02710
12710

end0.0ms

analyze598.0ms

Algorithm
search

sample566.0ms

Algorithm
intervals
Results
251.0ms8000×body80valid
64.0ms2042×body80invalid

Profiling

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