Details

Time bar (total: 4.2s)

analyze1.1s

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%89.3%0.2%12
12.2%87.5%0.2%13
21.9%77.7%0.4%14

sample29.0ms

Algorithm
intervals
Results
8.0ms204×body80valid
3.0ms19×body640valid
2.0ms9×body1280valid
1.0ms35×body80invalid
1.0ms12×body320valid
1.0ms12×body160valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
0488513
1488513

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.3b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
4.2b
(+ x (* (- y z) (/ (- t x) (- a z))))
5.5b
(* (- 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
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-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)))

series98.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(/ (- t x) (- a z))
51.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
34.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
051831602

prune170.0ms

Filtered
88 candidates to 128 candidates (-45.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New11612128
Fresh000
Picked101
Done000
Total11712129

Merged error: 5.2b

Counts
129 → 12

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)))))
9.8b
(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-sqr-sqrt add-cbrt-cube
13×*-un-lft-identity
10×cbrt-prod
9×pow1 frac-times prod-exp cbrt-unprod
7×add-cube-cbrt
6×flip3-- associate-*r/ flip-- add-log-exp
5×associate-*l* associate-*l/
4×cbrt-undiv cbrt-div div-exp
3×pow-prod-down distribute-lft-out-- difference-of-squares
2×pow1/3
1×+-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)))))

series222.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- t x))
27.0ms
(cbrt (- t x))
117.0ms
(* (- 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)))))

simplify28.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
050251489

prune129.0ms

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

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New91091
Fresh01111
Picked011
Done000
Total9112103

Merged error: 5.2b

Counts
103 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a z))
0.3b
(* (- t x) (/ 1 (- a z)))
5.5b
(* (- y z) (* (- t x) (/ 1 (- a z))))
6.6b
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×frac-times add-cbrt-cube
17×flip3-- flip--
13×prod-exp
12×pow1
10×associate-*r/ associate-*l* associate-*l/
9×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×div-exp add-log-exp
5×associate-/r*
4×pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 146
Calls
4 calls:
5.0ms
(/ 1 (- a z))
14.0ms
(* (- t x) (/ 1 (- a z)))
15.0ms
(* (- y z) (* (- t x) (/ 1 (- a z))))
4.0ms
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))

series105.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ 1 (- a z))
12.0ms
(* (- t x) (/ 1 (- a z)))
38.0ms
(* (- y z) (* (- t x) (/ 1 (- a z))))
50.0ms
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
057171769

prune163.0ms

Filtered
97 candidates to 158 candidates (-62.9%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1580158
Fresh01010
Picked011
Done011
Total15812170

Merged error: 5.2b

Counts
170 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
2.5b
(* (/ (- t x) (- a z)) (cbrt (- y z)))
3.0b
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z))))
9.8b
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z)))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
114×cbrt-div
84×frac-times
58×flip3-- flip--
52×add-sqr-sqrt
42×*-un-lft-identity
37×associate-*r/
32×associate-*l*
30×add-exp-log associate-*l/
27×times-frac
18×pow1 add-cube-cbrt add-cbrt-cube
15×prod-exp cbrt-unprod
12×cbrt-prod distribute-lft-out-- difference-of-squares
9×associate-*r* pow-prod-down
6×add-log-exp
4×unswap-sqr
3×cbrt-undiv div-exp
2×associate-/r/ *-commutative
1×+-commutative flip3-+ pow1/3 sum-log flip-+ div-inv
Counts
4 → 166
Calls
4 calls:
3.0ms
(cbrt (- y z))
17.0ms
(* (/ (- t x) (- a z)) (cbrt (- y z)))
27.0ms
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z))))
4.0ms
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z)))))

series179.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- y z))
65.0ms
(* (/ (- t x) (- a z)) (cbrt (- y z)))
35.0ms
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z))))
54.0ms
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z)))))

simplify45.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
052453789

prune146.0ms

Filtered
108 candidates to 178 candidates (-64.8%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1771178
Fresh189
Picked011
Done022
Total17812190

Merged error: 5.2b

Counts
190 → 12

regimes635.0ms

Accuracy

48.5% (4.4b remaining)

Error of 7.8b against oracle of 3.4b and baseline of 11.9b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07479
17479

end0.0ms

sample779.0ms

Algorithm
intervals
Results
263.0ms6588×body80valid
65.0ms483×body640valid
49.0ms1266×body80invalid
44.0ms240×body1280valid
40.0ms393×body320valid
19.0ms277×body160valid
4.0ms19×body2560valid

Profiling

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