Details

Time bar (total: 5.1s)

analyze758.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
3.1%96.7%0.2%8
17.2%82.7%0.2%9
21.8%78%0.2%10
30%68.8%1.2%11
31.8%65.3%2.9%12
40.1%55.3%4.6%13
44.5%50.1%5.4%14

sample56.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
3.0ms55×body80invalid

simplify167.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.8b

Counts
2 → 1

localize12.0ms

Local error

Found 1 expressions with local error:

6.6b
(* (/ x y) (- z t))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 42
Calls
1 calls:
20.0ms
(* (/ x y) (- z t))

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(* (/ x y) (- z t))

simplify86.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0254228
1989200
24147200
35002200

prune76.0ms

Filtered
31 candidates to 45 candidates (-45.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New40545
Fresh000
Picked011
Done000
Total40646

Merged error: 0b

Counts
46 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

5.7b
(cbrt (* (/ x y) (- z t)))
6.6b
(* (/ x y) (- z t))
6.6b
(* (/ x y) (- z t))
6.6b
(* (/ x y) (- z t))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
39×associate-*l*
34×*-un-lft-identity
30×times-frac
28×add-cube-cbrt
19×add-exp-log add-cbrt-cube
15×associate-*r*
10×pow1
8×frac-times flip3-- associate-*r/ flip--
6×distribute-rgt-in sub-neg distribute-lft-in prod-exp cbrt-unprod unswap-sqr
5×cbrt-div
4×associate-*l/ add-log-exp
3×cbrt-undiv div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
1×cbrt-prod pow1/3
Counts
4 → 140
Calls
4 calls:
10.0ms
(cbrt (* (/ x y) (- z t)))
18.0ms
(* (/ x y) (- z t))
15.0ms
(* (/ x y) (- z t))
16.0ms
(* (/ x y) (- z t))

series69.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (* (/ x y) (- z t)))
12.0ms
(* (/ x y) (- z t))
12.0ms
(* (/ x y) (- z t))
15.0ms
(* (/ x y) (- z t))

simplify42.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0342815
11257722
25002719

prune140.0ms

Filtered
109 candidates to 152 candidates (-39.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1520152
Fresh044
Picked011
Done011
Total1526158

Merged error: 0b

Counts
158 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.4b
(* (/ x (cbrt y)) (- z t))
3.3b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
46×prod-exp
35×add-cbrt-cube
32×add-sqr-sqrt
29×associate-*l*
24×*-un-lft-identity
23×times-frac
22×add-cube-cbrt
20×div-exp cbrt-unprod
16×cbrt-prod
11×pow1 frac-times associate-*r/
10×cbrt-undiv distribute-rgt-in distribute-lft-in
6×sub-neg rec-exp flip3-- 1-exp associate-*r* flip--
4×pow-prod-down associate-*l/ add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×distribute-lft-out-- difference-of-squares
Counts
4 → 141
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
12.0ms
(* (/ x (cbrt y)) (- z t))
17.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

series101.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt y)
24.0ms
(cbrt y)
39.0ms
(* (/ x (cbrt y)) (- z t))
17.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

simplify79.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
07181312
131411057
25001921

prune219.0ms

Filtered
93 candidates to 153 candidates (-64.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1530153
Fresh033
Picked011
Done022
Total1536159

Merged error: 0b

Counts
159 → 6

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) y)
6.2b
(* x (/ (- z t) y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
11.0ms
(/ (- z t) y)
20.0ms
(* x (/ (- z t) y))

series20.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (- z t) y)
14.0ms
(* x (/ (- z t) y))

simplify39.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0277403
11180372
25002366

prune63.0ms

Filtered
55 candidates to 82 candidates (-49.1%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New81182
Fresh112
Picked011
Done033
Total82688

Merged error: 0b

Counts
88 → 6

regimes677.0ms

Accuracy

31% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.1b

bsearch1.0s

Steps
ItersRangePoint
9
6.042952086602666e+109
8.14650814340794e+117
6.1420572712118675e+109
6
-1.3613533674273179e-30
-2.2461685466458304e-31
-3.975615912736344e-31

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03214
13214

end0.0ms

analyze657.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
3.1%96.7%0.2%8
17.2%82.7%0.2%9
21.8%78%0.2%10
30%68.8%1.2%11
31.8%65.3%2.9%12
40.1%55.3%4.6%13
44.5%50.1%5.4%14

sample609.0ms

Algorithm
intervals
Results
262.0ms8000×body80valid
73.0ms2100×body80invalid

Profiling

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