Details

Time bar (total: 3.2s)

analyze434.0ms

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
15.6%84.2%0.2%8
28.1%71.7%0.2%9
37.4%62.4%0.2%10
41.7%58.1%0.2%11
53%46.8%0.2%12
64.1%35.6%0.3%13
66.7%32.8%0.5%14

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
1.0ms17×body80invalid

simplify141.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (140.0ms)

IterNodesCost
050619

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.7b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.6b
(/ x (* (- y z) (- t z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv sub-neg div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 61
Calls
2 calls:
8.0ms
(* (- y z) (- t z))
8.0ms
(/ x (* (- y z) (- t z)))

series36.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- y z) (- t z))
29.0ms
(/ x (* (- y z) (- t z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04962731
14962731

prune115.0ms

Filtered
51 candidates to 67 candidates (-31.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New59867
Fresh000
Picked101
Done000
Total60868

Merged error: 0.0b

Counts
68 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- y z))
1.5b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
52×*-un-lft-identity times-frac
30×add-cube-cbrt
28×add-exp-log
21×associate-*r* associate-*l*
16×add-cbrt-cube
10×div-exp distribute-lft-out-- difference-of-squares
8×prod-exp
6×associate-/r/ unswap-sqr
5×pow1 cbrt-undiv associate-/r*
4×cbrt-unprod
3×rec-exp flip3-- 1-exp flip-- div-inv associate-/l*
2×add-log-exp
1×frac-times pow-flip frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
2 → 113
Calls
2 calls:
5.0ms
(/ 1 (- y z))
18.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series48.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ 1 (- y z))
44.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049931169
149931169

prune131.0ms

Filtered
71 candidates to 119 candidates (-67.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1172119
Fresh347
Picked011
Done000
Total1207127

Merged error: 0.0b

Counts
127 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
0.6b
(* (cbrt (- y z)) (cbrt (- y z)))
0.8b
(* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- y z)) (cbrt (- y z)))) (* (/ x (- t z)) (/ (cbrt 1) (cbrt (- y z)))))
0.9b
(* (/ x (- t z)) (/ (cbrt 1) (cbrt (- y z))))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
148×add-exp-log
131×add-sqr-sqrt
101×cbrt-prod
90×*-un-lft-identity
83×times-frac
82×add-cbrt-cube
70×prod-exp cbrt-unprod
63×associate-*r*
52×add-cube-cbrt
44×cbrt-undiv div-exp
42×associate-*l*
28×cbrt-div
18×pow1 unswap-sqr
16×distribute-lft-out--
15×flip3-- flip--
14×frac-times difference-of-squares
12×associate-/r/
10×associate-*r/ swap-sqr
8×associate-*l/
7×pow1/3
6×pow-prod-down
4×add-log-exp
3×*-commutative div-inv
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 261
Calls
4 calls:
3.0ms
(cbrt (- y z))
10.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
30.0ms
(* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- y z)) (cbrt (- y z)))) (* (/ x (- t z)) (/ (cbrt 1) (cbrt (- y z)))))
33.0ms
(* (/ x (- t z)) (/ (cbrt 1) (cbrt (- y z))))

series148.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- y z))
29.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
47.0ms
(* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- y z)) (cbrt (- y z)))) (* (/ x (- t z)) (/ (cbrt 1) (cbrt (- y z)))))
46.0ms
(* (/ x (- t z)) (/ (cbrt 1) (cbrt (- y z))))

simplify52.0ms

Algorithm
egg-herbie
Counts
273 → 273
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
050314919

prune514.0ms

Filtered
184 candidates to 273 candidates (-48.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2730273
Fresh055
Picked011
Done011
Total2737280

Merged error: 0.0b

Counts
280 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.9b
(/ (/ x (- y z)) (- t z))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
5.0ms
(/ x (- y z))
11.0ms
(/ (/ x (- y z)) (- t z))

series35.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ x (- y z))
29.0ms
(/ (/ x (- y z)) (- t z))

simplify72.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049803096
149803096

prune153.0ms

Filtered
128 candidates to 191 candidates (-49.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1901191
Fresh044
Picked101
Done022
Total1917198

Merged error: 0b

Counts
198 → 7

regimes476.0ms

Accuracy

-5.2% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.2b

bsearch35.0ms

Steps
ItersRangePoint
10
4.841058691566806e-213
5.421263733486083e-203
1.2660554276737495e-209
7
-2.1089982835452906e-230
-3.9428199937057405e-232
-1.539428557740147e-231

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08631
18631

end0.0ms

sample485.0ms

Algorithm
intervals
Results
254.0ms8000×body80valid
13.0ms420×body80invalid

Profiling

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