Details

Time bar (total: 3.9s)

analyze653.0ms

Algorithm
search

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms78×body80invalid

simplify137.0ms

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

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
5.5b
(* (/ x y) (- z t))

rewrite17.0ms

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)
8.0ms
(* (/ x y) (- z t))

series22.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (* (/ x y) (- z t)) t)
12.0ms
(* (/ x y) (- z t))

simplify54.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0314342
11191302
25002302

prune112.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New59463
Fresh000
Picked011
Done000
Total59564

Merged error: 0b

Counts
64 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
10.5b
(cbrt (/ x y))
10.5b
(cbrt (/ x y))
10.5b
(cbrt (/ x y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod cbrt-div
29×frac-times
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×associate-*r/
16×pow1 add-exp-log
13×associate-*l/
10×add-cbrt-cube
distribute-rgt-in flip3-- distribute-lft-in pow-prod-down prod-exp flip-- cbrt-unprod
sub-neg add-log-exp
pow1/3 div-inv
associate-*r* associate-*l* *-commutative
Counts
4 → 119
Calls
4 calls:
21.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
4.0ms
(cbrt (/ x y))
4.0ms
(cbrt (/ x y))
4.0ms
(cbrt (/ x y))

series54.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
12.0ms
(cbrt (/ x y))
12.0ms
(cbrt (/ x y))
13.0ms
(cbrt (/ x y))

simplify53.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04901215
116041027
25001902

prune121.0ms

Filtered
90 candidates to 131 candidates (-45.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1310131
Fresh033
Picked011
Done011
Total1315136

Merged error: 0b

Counts
136 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (/ (- z t) y)) t)
0.0b
(/ (- z t) y)
5.2b
(* x (/ (- z t) y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
pow1 associate-/l* add-log-exp
associate-*l* associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
7.0ms
(+ (* x (/ (- z t) y)) t)
5.0ms
(/ (- z t) y)
9.0ms
(* x (/ (- z t) y))

series31.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ (* x (/ (- z t) y)) t)
6.0ms
(/ (- z t) y)
12.0ms
(* x (/ (- z t) y))

simplify43.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0342501
11379468
25001456

prune79.0ms

Filtered
65 candidates to 96 candidates (-47.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh022
Picked011
Done022
Total965101

Merged error: 0b

Counts
101 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

series30.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (/ (* x (- z t)) y) t)
9.0ms
(* x (- z t))
11.0ms
(/ (* x (- z t)) y)

simplify34.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0288331
11163295
25001283

prune53.0ms

Filtered
44 candidates to 70 candidates (-59.1%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New70070
Fresh011
Picked011
Done033
Total70575

Merged error: 0b

Counts
75 → 5

regimes443.0ms

Accuracy

7.5% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.2b

bsearch600.0ms

Steps
ItersRangePoint
3
1.0273575650207084e-243
1.3639843712274158e-243
1.0724426316183921e-243
7
-6.114924240712877e-172
-2.8248889131728795e-174
-6.647185436758714e-174

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0248
1248

end0.0ms

analyze644.0ms

Algorithm
search

sample600.0ms

Algorithm
intervals
Results
274.0ms8000×body80valid
77.0ms2132×body80invalid

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