Details

Time bar (total: 6.6s)

analyze858.0ms

Algorithm
search

sample27.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms84×body80invalid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1264
2464
3854
41274
51484
61654
72154
83034
93894
106024
117124
127914
137914

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
5.9b
(/ (* y (- z t)) a)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
6.0ms
(* y (- z t))
6.0ms
(/ (* y (- z t)) a)

series19.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- z t))
12.0ms
(/ (* y (- z t)) a)

simplify32.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0231226
11033189
25002189

prune84.0ms

Filtered
35 candidates to 55 candidates (-57.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New47855
Fresh000
Picked101
Done000
Total48856

Merged error: 0.0b

Counts
56 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
4.4b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
18.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series82.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt a)
20.0ms
(cbrt a)
21.0ms
(cbrt a)
20.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify58.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0500954
12500845
25001783

prune128.0ms

Filtered
85 candidates to 116 candidates (-36.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1151116
Fresh077
Picked011
Done000
Total1159124

Merged error: 0.0b

Counts
124 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
6.0b
(* (* y (- z t)) (/ 1 a))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×associate-*r*
16×add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity prod-exp
11×add-cube-cbrt
9×pow1 times-frac
7×associate-*r/ cbrt-unprod
4×div-exp associate-*l* pow-prod-down
3×flip3-- flip--
2×cbrt-undiv distribute-rgt-in frac-times sub-neg rec-exp distribute-lft-in 1-exp associate-*l/ *-commutative add-log-exp
1×un-div-inv div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 68
Calls
2 calls:
6.0ms
(* y (- z t))
9.0ms
(* (* y (- z t)) (/ 1 a))

series18.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- z t))
11.0ms
(* (* y (- z t)) (/ 1 a))

simplify48.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0358362
11927294
25001282

prune86.0ms

Filtered
42 candidates to 74 candidates (-76.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New73174
Fresh167
Picked011
Done011
Total74983

Merged error: 0b

Counts
83 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.4b
(/ 1 (/ a (* y (- z t))))
5.9b
(/ a (* y (- z t)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
31×add-exp-log
29×add-sqr-sqrt
27×*-un-lft-identity
25×add-cube-cbrt
19×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×cbrt-undiv
6×pow1 flip3-- flip-- div-inv associate-/l*
5×associate-*r* prod-exp
3×rec-exp 1-exp associate-*l* cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num
1×pow-flip pow-prod-down *-commutative distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 113
Calls
3 calls:
6.0ms
(* y (- z t))
8.0ms
(/ 1 (/ a (* y (- z t))))
6.0ms
(/ a (* y (- z t)))

series29.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* y (- z t))
12.0ms
(/ 1 (/ a (* y (- z t))))
10.0ms
(/ a (* y (- z t)))

simplify52.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0388696
11896597
25003546

prune80.0ms

Filtered
64 candidates to 122 candidates (-90.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1202122
Fresh336
Picked101
Done112
Total1256131

Merged error: 0b

Counts
131 → 6

regimes706.0ms

Accuracy

66.2% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.4b

bsearch2.6s

Steps
ItersRangePoint
10
4.861645351747453e-12
2.679136811677945
1.9649433487833575e-10
9
-7.629117745522182e+76
-1.0029473667815834e+70
-6.052661540430199e+71

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0299
1299

end0.0ms

analyze863.0ms

Algorithm
search

sample696.0ms

Algorithm
intervals
Results
272.0ms8000×body80valid
92.0ms2646×body80invalid

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