Details

Time bar (total: 4.2s)

analyze1.0s

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
0%99.8%0.2%8
0%99.8%0.2%9
1.8%98%0.2%10
7.7%92.1%0.2%11
10.4%89.4%0.2%12
12.2%87.6%0.2%13
21.8%77.8%0.4%14

sample29.0ms

Algorithm
intervals
Results
7.0ms204×body80valid
3.0ms23×body640valid
2.0ms45×body80invalid
1.0ms13×body320valid
1.0msbody1280valid
1.0msbody160valid
0.0msbody2560valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
0489213
1489213

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.6b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
3.4b
(+ x (* (- y z) (/ (- t x) (- a z))))
5.9b
(* (- y z) (/ (- t x) (- a z)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
associate-/r/
cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 119
Calls
3 calls:
7.0ms
(/ (- t x) (- a z))
4.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
21.0ms
(* (- y z) (/ (- t x) (- a z)))

series95.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(/ (- t x) (- a z))
50.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
33.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
051831602

prune178.0ms

Filtered
87 candidates to 128 candidates (-47.1%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New11414128
Fresh011
Picked011
Done000
Total11416130

Merged error: 5.0b

Counts
130 → 16

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t x))
0.6b
(cbrt (- t x))
1.0b
(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z)))))
10.0b
(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-sqr-sqrt add-cbrt-cube
13×*-un-lft-identity
10×cbrt-prod
pow1 frac-times prod-exp cbrt-unprod
add-cube-cbrt
flip3-- associate-*r/ flip-- add-log-exp
associate-*l* associate-*l/
cbrt-undiv cbrt-div div-exp
pow-prod-down distribute-lft-out-- difference-of-squares
pow1/3
+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
4 → 79
Calls
4 calls:
3.0ms
(cbrt (- t x))
3.0ms
(cbrt (- t x))
26.0ms
(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z)))))
4.0ms
(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series218.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- t x))
25.0ms
(cbrt (- t x))
115.0ms
(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z)))))
52.0ms
(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify29.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
050251489

prune142.0ms

Filtered
64 candidates to 91 candidates (-42.2%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New90191
Fresh11314
Picked011
Done011
Total9116107

Merged error: 5.0b

Counts
107 → 16

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t x))
0.6b
(cbrt (- t x))
0.6b
(cbrt (- t x))
10.2b
(+ x (* (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (cbrt (- y z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
cbrt-div add-log-exp
pow1 add-exp-log add-cbrt-cube
flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
+-commutative flip3-+ sum-log flip-+
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (- t x))
3.0ms
(cbrt (- t x))
3.0ms
(cbrt (- t x))
5.0ms
(+ x (* (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (cbrt (- y z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series125.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- t x))
25.0ms
(cbrt (- t x))
26.0ms
(cbrt (- t x))
49.0ms
(+ x (* (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (cbrt (- y z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify28.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
05191677

prune126.0ms

Filtered
55 candidates to 68 candidates (-23.6%)
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New66268
Fresh11213
Picked011
Done022
Total671784

Merged error: 5.0b

Counts
84 → 17

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(* (cbrt (- a z)) (cbrt (- a z)))
2.1b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
9.2b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
96×add-sqr-sqrt
78×*-un-lft-identity
60×cbrt-prod
54×associate-*r*
52×times-frac
34×add-cube-cbrt
28×cbrt-div
27×add-exp-log
25×associate-*l*
21×distribute-lft-out--
19×difference-of-squares
18×add-cbrt-cube
14×flip3-- flip--
13×pow1
10×swap-sqr associate-/r/ unswap-sqr
frac-times prod-exp cbrt-unprod
cbrt-undiv pow1/3 div-exp
add-log-exp
associate-*r/ associate-*l/
pow-prod-down
pow-sqr *-commutative pow-prod-up div-inv
+-commutative pow2 flip3-+ pow-plus sum-log flip-+
Counts
4 → 175
Calls
4 calls:
3.0ms
(cbrt (- a z))
10.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
33.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
4.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series158.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- a z))
28.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
55.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
47.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
056362900

prune178.0ms

Filtered
131 candidates to 187 candidates (-42.7%)
Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New1852187
Fresh11213
Picked011
Done033
Total18618204

Merged error: 5.0b

Counts
204 → 18

regimes819.0ms

Accuracy

35.2% (5.4b remaining)

Error of 9.2b against oracle of 3.7b and baseline of 12.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083113
183113

end0.0ms

sample743.0ms

Algorithm
intervals
Results
246.0ms6520×body80valid
60.0ms454×body640valid
52.0ms1190×body80invalid
50.0ms277×body1280valid
43.0ms431×body320valid
20.0ms296×body160valid
5.0ms22×body2560valid

Profiling

Loading profile data...