Details

Time bar (total: 5.9s)

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

sample49.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
1.0ms15×body80invalid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
0506017

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.5b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.0b
(+ y (* z (- b y)))
0.5b
(+ (* x y) (* z (- t a)))
19.8b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
9×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1 sub-neg
5×associate-*r*
4×associate-+r+ flip3-+ flip-+
3×distribute-rgt-in distribute-lft-in associate-*l* associate-/r* associate-/l*
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 81
Calls
4 calls:
6.0ms
(* z (- t a))
3.0ms
(+ y (* z (- b y)))
4.0ms
(+ (* x y) (* z (- t a)))
7.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series122.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* z (- t a))
7.0ms
(+ y (* z (- b y)))
15.0ms
(+ (* x y) (* z (- t a)))
93.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify37.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
053751289

prune525.0ms

Filtered
69 candidates to 93 candidates (-34.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New821193
Fresh000
Picked101
Done000
Total831194

Merged error: 19.9b

Counts
94 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.3b
(/ 1 (+ y (* z (- b y))))
0.5b
(+ (* x y) (* z (- t a)))
19.8b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
6×flip3-+ flip-+
4×sub-neg associate-+r+ div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv +-commutative distribute-rgt-in frac-times rec-exp distribute-lft-in 1-exp associate-*l/ sum-log cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 101
Calls
4 calls:
3.0ms
(+ y (* z (- b y)))
4.0ms
(/ 1 (+ y (* z (- b y))))
4.0ms
(+ (* x y) (* z (- t a)))
11.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series139.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ y (* z (- b y)))
20.0ms
(/ 1 (+ y (* z (- b y))))
14.0ms
(+ (* x y) (* z (- t a)))
97.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify49.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049431646
149431646

prune143.0ms

Filtered
74 candidates to 113 candidates (-52.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1121113
Fresh1910
Picked011
Done000
Total11311124

Merged error: 19.9b

Counts
124 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

13.8b
(cbrt (* z (- t a)))
13.8b
(cbrt (* z (- t a)))
13.8b
(cbrt (* z (- t a)))
19.8b
(/ (+ (* x y) (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (+ y (* 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 (- t a)))
4.0ms
(cbrt (* z (- t a)))
4.0ms
(cbrt (* z (- t a)))
7.0ms
(/ (+ (* x y) (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (+ y (* z (- b y))))

series209.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(cbrt (* z (- t a)))
34.0ms
(cbrt (* z (- t a)))
35.0ms
(cbrt (* z (- t a)))
104.0ms
(/ (+ (* x y) (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (+ y (* z (- b y))))

simplify33.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
051391110

prune120.0ms

Filtered
65 candidates to 76 candidates (-16.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh099
Picked011
Done011
Total761187

Merged error: 19.9b

Counts
87 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

12.5b
(cbrt (+ y (* z (- b y))))
12.5b
(cbrt (+ y (* z (- b y))))
12.5b
(cbrt (+ y (* z (- b y))))
16.4b
(* (+ (* x y) (* z (- t a))) (* (cbrt 1) (/ (cbrt 1) (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y))))))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
11×add-cbrt-cube
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×cbrt-div
5×flip3-+ flip-+
4×associate-*r/ add-log-exp
3×pow1/3 associate-*l* pow-prod-down
2×cbrt-undiv frac-times div-exp associate-*l/
1×associate-*r* *-commutative
Counts
4 → 66
Calls
4 calls:
4.0ms
(cbrt (+ y (* z (- b y))))
2.0ms
(cbrt (+ y (* z (- b y))))
2.0ms
(cbrt (+ y (* z (- b y))))
16.0ms
(* (+ (* x y) (* z (- t a))) (* (cbrt 1) (/ (cbrt 1) (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y))))))))

series772.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(cbrt (+ y (* z (- b y))))
55.0ms
(cbrt (+ y (* z (- b y))))
51.0ms
(cbrt (+ y (* z (- b y))))
613.0ms
(* (+ (* x y) (* z (- t a))) (* (cbrt 1) (/ (cbrt 1) (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y))))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
051261470

prune132.0ms

Filtered
63 candidates to 78 candidates (-23.8%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New76278
Fresh178
Picked011
Done022
Total771289

Merged error: 19.4b

Counts
89 → 12

regimes1.0s

Accuracy

0% (1.2b remaining)

Error of 22.8b against oracle of 21.7b and baseline of 22.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04019
14019

end0.0ms

sample752.0ms

Algorithm
intervals
Results
451.0ms8000×body80valid
23.0ms429×body80invalid

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