Details

Time bar (total: 4.9s)

analyze510.0ms

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
19.9%79.9%0.2%9
22.8%77%0.2%10
35.1%64.7%0.2%11
45%54.8%0.2%12
53.8%45.1%1.2%13
56.2%42.4%1.5%14

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms21×body80invalid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1254
2494
3724
41054
51224
61394
71494
81564
91604
101644
112594
122974
133194
144054
154744
165324
176264
187024
197114
207114

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
3.0b
(* (/ (- x y) (- z y)) t)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
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-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ (- x y) (- z y))
11.0ms
(* (/ (- x y) (- z y)) t)

series34.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- x y) (- z y))
25.0ms
(* (/ (- x y) (- z y)) t)

simplify96.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0360653
11125612
24514611
35001611

prune112.0ms

Filtered
72 candidates to 108 candidates (-50.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1017108
Fresh000
Picked011
Done000
Total1018109

Merged error: 0.0b

Counts
109 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))
3.0b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
10×associate-*l/
8×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp associate-*l* flip--
5×associate-/r*
4×frac-times pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×associate-*r/ un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
5.0ms
(/ 1 (- z y))
12.0ms
(* (- x y) (/ 1 (- z y)))
12.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series37.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- z y))
9.0ms
(* (- x y) (/ 1 (- z y)))
24.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify51.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0392673
11893556
25001514

prune136.0ms

Filtered
70 candidates to 128 candidates (-82.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1271128
Fresh066
Picked011
Done011
Total1279136

Merged error: 0b

Counts
136 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
3.9b
(cbrt (/ (- x y) (- z y)))
3.9b
(cbrt (/ (- x y) (- z y)))
3.9b
(cbrt (/ (- x y) (- z y)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
333×*-un-lft-identity
277×cbrt-prod
273×add-sqr-sqrt
229×times-frac
106×distribute-lft-out--
93×add-cube-cbrt
78×difference-of-squares
58×swap-sqr
34×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 276
Calls
4 calls:
37.0ms
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
7.0ms
(cbrt (/ (- x y) (- z y)))
7.0ms
(cbrt (/ (- x y) (- z y)))
7.0ms
(cbrt (/ (- x y) (- z y)))

series274.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
63.0ms
(cbrt (/ (- x y) (- z y)))
61.0ms
(cbrt (/ (- x y) (- z y)))
67.0ms
(cbrt (/ (- x y) (- z y)))

simplify80.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05493648
117533583
250013382

prune239.0ms

Filtered
180 candidates to 288 candidates (-60.0%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2880288
Fresh066
Picked011
Done022
Total2889297

Merged error: 0b

Counts
297 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
5.6b
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
18×cbrt-unprod
17×div-exp
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
9×pow1 cbrt-undiv add-cube-cbrt
7×associate-*l*
6×cbrt-div 1-exp
4×add-log-exp
3×flip3-- times-frac pow1/3 pow-prod-down associate-*l/ flip-- distribute-lft-out-- difference-of-squares
1×frac-times associate-*r/ associate-*r* *-commutative div-inv
Counts
4 → 90
Calls
4 calls:
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
20.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series169.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(cbrt (- x y))
45.0ms
(cbrt (- x y))
55.0ms
(cbrt (- x y))
37.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

simplify67.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
04781007
12158786
25001655

prune131.0ms

Filtered
63 candidates to 102 candidates (-61.9%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1020102
Fresh055
Picked011
Done033
Total1029111

Merged error: 0b

Counts
111 → 9

regimes604.0ms

Accuracy

3.2% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.4b

bsearch1.0s

Steps
ItersRangePoint
8
1.8564038070903812e-237
5.017500016880291e-234
1.4683379388390597e-236
9
-1.7631146761961752e-39
-4.581869242893239e-49
-7.487297759900808e-44

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1218

end0.0ms

analyze538.0ms

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
19.9%79.9%0.2%9
22.8%77%0.2%10
35.1%64.7%0.2%11
45%54.8%0.2%12
53.8%45.1%1.2%13
56.2%42.4%1.5%14

sample528.0ms

Algorithm
intervals
Results
276.0ms8000×body80valid
22.0ms581×body80invalid

Profiling

Loading profile data...