Details

Time bar (total: 3.8s)

analyze893.0ms

Algorithm
search

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms32×body80invalid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0185
1335
2585
31015
41455
51785
62045
72645
83525
94415
107075
119065
1210225
1310445
1410445

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
9.9b
(/ (* y (- z t)) (- z a))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
6.0ms
(* y (- z t))
8.0ms
(/ (* y (- z t)) (- z a))

series26.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- z t))
18.0ms
(/ (* y (- z t)) (- z a))

simplify35.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0267276
11217239
25001239

prune84.0ms

Filtered
40 candidates to 61 candidates (-52.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New57461
Fresh000
Picked011
Done000
Total57562

Merged error: 0b

Counts
62 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
0.8b
(* y (/ (- z t) (- z a)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
9.0ms
(/ (- z t) (- z a))
13.0ms
(* y (/ (- z t) (- z a)))

series24.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (- z t) (- z a))
15.0ms
(* y (/ (- z t) (- z a)))

simplify41.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0351647
11392606
25002606

prune83.0ms

Filtered
70 candidates to 108 candidates (-54.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1071108
Fresh213
Picked011
Done011
Total1094113

Merged error: 0b

Counts
113 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z a) (- z t))
0.8b
(/ y (/ (- z a) (- z t)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
7.0ms
(/ (- z a) (- z t))
11.0ms
(/ y (/ (- z a) (- z t)))

series30.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (- z a) (- z t))
22.0ms
(/ y (/ (- z a) (- z t)))

simplify78.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06301780
128431729
250031726

prune139.0ms

Filtered
132 candidates to 200 candidates (-51.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2000200
Fresh011
Picked011
Done022
Total2004204

Merged error: 0b

Counts
204 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- z a))
0.1b
(* (sqrt y) (/ (- z t) (- z a)))
0.2b
(* (sqrt y) (* (sqrt y) (/ (- z t) (- z a))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
74×*-un-lft-identity
52×times-frac
32×associate-*r*
30×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
19×add-exp-log add-cbrt-cube
12×associate-*l*
10×pow1
8×sqrt-prod
7×prod-exp cbrt-unprod
5×associate-/r* associate-/l*
4×pow-prod-down associate-/r/ unswap-sqr
3×cbrt-undiv flip3-- associate-*r/ div-exp flip-- add-log-exp
2×*-commutative div-inv associate-/l/
1×frac-2neg div-sub clear-num
Counts
3 → 131
Calls
3 calls:
7.0ms
(/ (- z t) (- z a))
17.0ms
(* (sqrt y) (/ (- z t) (- z a)))
13.0ms
(* (sqrt y) (* (sqrt y) (/ (- z t) (- z a))))

series55.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- z t) (- z a))
22.0ms
(* (sqrt y) (/ (- z t) (- z a)))
24.0ms
(* (sqrt y) (* (sqrt y) (/ (- z t) (- z a))))

simplify55.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0417939
11786845
25002845

prune94.0ms

Filtered
88 candidates to 140 candidates (-59.1%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1400140
Fresh000
Picked011
Done033
Total1404144

Merged error: 0b

Counts
144 → 4

regimes448.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

analyze871.0ms

Algorithm
search

sample586.0ms

Algorithm
intervals
Results
295.0ms7997×body80valid
29.0ms736×body80invalid
0.0ms2×body640valid
0.0ms1×body320valid

Profiling

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