Details

Time bar (total: 5.4s)

analyze885.0ms

Algorithm
search

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms24×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: 8.4b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
9.1b
(/ (* y (- z t)) (- z a))

rewrite20.0ms

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))
12.0ms
(/ (* y (- z t)) (- z a))

series22.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- z t))
15.0ms
(/ (* y (- z t)) (- z a))

simplify37.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0267276
11217239
25001239

prune79.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New56561
Fresh000
Picked101
Done000
Total57562

Merged error: 0b

Counts
62 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z a) (- z t))
3.6b
(/ y (/ (- z a) (- z t)))

rewrite30.0ms

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)))

series29.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (- z a) (- z t))
21.0ms
(/ y (/ (- z a) (- z t)))

simplify77.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06301780
128431729
250031726

prune143.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1991200
Fresh224
Picked011
Done000
Total2014205

Merged error: 0b

Counts
205 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
12.9b
(* (/ y (- z a)) (- z t))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*l*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*r* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 87
Calls
2 calls:
6.0ms
(/ y (- z a))
14.0ms
(* (/ y (- z a)) (- z t))

series28.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ y (- z a))
22.0ms
(* (/ y (- z a)) (- z t))

simplify40.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0341497
11399459
25001459

prune78.0ms

Filtered
66 candidates to 93 candidates (-40.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh022
Picked011
Done011
Total93497

Merged error: 0b

Counts
97 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(/ 1 (- z a))
9.2b
(* (* y (- z t)) (/ 1 (- z a)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×*-un-lft-identity
31×add-exp-log
30×times-frac
26×associate-*r*
24×add-cube-cbrt
19×add-cbrt-cube
13×prod-exp
11×pow1
8×distribute-lft-out-- difference-of-squares
7×associate-*r/ cbrt-unprod
6×div-exp
5×flip3-- associate-/r* flip--
4×associate-*l* pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp
2×distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*l/ *-commutative div-inv
1×pow-flip frac-2neg clear-num un-div-inv inv-pow unswap-sqr
Counts
3 → 117
Calls
3 calls:
6.0ms
(* y (- z t))
5.0ms
(/ 1 (- z a))
13.0ms
(* (* y (- z t)) (/ 1 (- z a)))

series26.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* y (- z t))
4.0ms
(/ 1 (- z a))
15.0ms
(* (* y (- z t)) (/ 1 (- z a)))

simplify56.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0426633
12357536
25002493

prune82.0ms

Filtered
66 candidates to 126 candidates (-90.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1260126
Fresh011
Picked011
Done022
Total1264130

Merged error: 0b

Counts
130 → 4

regimes369.0ms

Accuracy

30.1% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.3b

bsearch1.8s

Steps
ItersRangePoint
9
216430.77535101378
31727358873.85678
218631.80441637724
3
-6.147815384916093e+40
-4.988541277257211e+40
-5.060995908985892e+40

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03216
13216

end0.0ms

analyze876.0ms

Algorithm
search

sample580.0ms

Algorithm
intervals
Results
295.0ms8000×body80valid
31.0ms693×body80invalid

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