Details

Time bar (total: 5.0s)

analyze1.5s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0.6%99.1%0.3%11
1.8%98%0.3%12
2.6%97.1%0.3%13
4%95.7%0.3%14

sample26.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
1.0ms12×body80invalid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
0506017

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.3b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.0b
(* z (- t a))
0.4b
(+ (* x y) (* z (- t a)))
24.3b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
10×add-exp-log associate-*r* add-cbrt-cube
9×times-frac
8×pow1
6×sub-neg associate-*l* add-log-exp
4×associate-*r/
3×distribute-rgt-in distribute-lft-in flip3-+ associate-/r* flip-+ associate-/l*
2×associate-+r+ flip3-- pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 92
Calls
4 calls:
10.0ms
(* z (- b y))
6.0ms
(* z (- t a))
4.0ms
(+ (* x y) (* z (- t a)))
7.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series113.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* z (- b y))
7.0ms
(* z (- t a))
13.0ms
(+ (* x y) (* z (- t a)))
86.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify38.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
052211306

prune161.0ms

Filtered
74 candidates to 104 candidates (-40.5%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New9410104
Fresh000
Picked011
Done000
Total9411105

Merged error: 24.7b

Counts
105 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.4b
(+ (* x y) (* z (- t a)))
0.7b
(/ 1 (+ y (* z (- b y))))
23.9b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
25×*-un-lft-identity
22×add-cube-cbrt
20×times-frac associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
6×associate-*l* add-log-exp
5×flip3-+ prod-exp flip-+
4×sub-neg div-exp associate-/r/ unswap-sqr
3×associate-*r/ associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times rec-exp associate-+r+ distribute-lft-in 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative flip3-- pow-flip frac-2neg clear-num sum-log un-div-inv flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 112
Calls
4 calls:
6.0ms
(* z (- t a))
4.0ms
(+ (* x y) (* z (- t a)))
6.0ms
(/ 1 (+ y (* z (- b y))))
11.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series122.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* z (- t a))
13.0ms
(+ (* x y) (* z (- t a)))
16.0ms
(/ 1 (+ y (* z (- b y))))
86.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
059921663

prune136.0ms

Filtered
77 candidates to 124 candidates (-61.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1240124
Fresh099
Picked011
Done011
Total12411135

Merged error: 24.7b

Counts
135 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

16.0b
(cbrt (* z (- b y)))
16.0b
(cbrt (* z (- b y)))
16.0b
(cbrt (* z (- b y)))
24.3b
(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt (* z (- b y))) (cbrt (* z (- b y)))) (cbrt (* z (- b y))))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log cbrt-div associate-*r/ add-cbrt-cube
4×pow1 add-log-exp
3×cbrt-prod flip3-- pow1/3 associate-/r* flip-- associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 64
Calls
4 calls:
4.0ms
(cbrt (* z (- b y)))
4.0ms
(cbrt (* z (- b y)))
4.0ms
(cbrt (* z (- b y)))
8.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt (* z (- b y))) (cbrt (* z (- b y)))) (cbrt (* z (- b y))))))

series200.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(cbrt (* z (- b y)))
32.0ms
(cbrt (* z (- b y)))
35.0ms
(cbrt (* z (- b y)))
98.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt (* z (- b y))) (cbrt (* z (- b y)))) (cbrt (* z (- b y))))))

simplify65.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049181105
149181105

prune109.0ms

Filtered
61 candidates to 76 candidates (-24.6%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh088
Picked011
Done022
Total761187

Merged error: 24.7b

Counts
87 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

1.7b
(cbrt (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
24.3b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
24.3b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
24.3b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×cbrt-prod
10×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
8×associate-/r/
7×flip3-+ flip-+
6×associate-/l/
4×pow1 div-inv add-log-exp
3×cbrt-undiv frac-2neg div-exp clear-num
1×cbrt-div pow1/3
Counts
4 → 117
Calls
4 calls:
6.0ms
(cbrt (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
8.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
8.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
8.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series564.0ms

Counts
4 → 12
Calls
4 calls:
293.0ms
(cbrt (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
90.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
88.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
93.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify66.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
050163109

prune132.0ms

Filtered
105 candidates to 129 candidates (-22.9%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1290129
Fresh077
Picked011
Done033
Total12911140

Merged error: 24.7b

Counts
140 → 11

regimes834.0ms

Accuracy

0% (0.6b remaining)

Error of 23.5b against oracle of 22.9b and baseline of 23.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03717
13717

end0.0ms

sample694.0ms

Algorithm
intervals
Results
393.0ms8000×body80valid
20.0ms439×body80invalid

Profiling

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