Details

Time bar (total: 4.3s)

analyze1.2s

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
5.8%93.9%0.3%11
8.4%91.3%0.3%12
9.7%90%0.3%13
10.7%89%0.3%14

sample28.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
0.0ms4×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04617
14617

prune14.0ms

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: 12.3b

Counts
2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (/ z t)))
5.2b
(* y (/ z t))
5.5b
(* y (/ b t))
12.0b
(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* y (/ b t)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
37×*-un-lft-identity
32×times-frac
29×add-cube-cbrt
26×associate-*r*
16×add-exp-log add-cbrt-cube
8×pow1
6×associate-*l* add-log-exp
4×prod-exp associate-/r* cbrt-unprod distribute-lft-out unswap-sqr
3×cbrt-undiv flip3-+ div-exp flip-+ div-inv associate-/l*
2×associate-*r/ pow-prod-down associate-/r/ *-commutative associate-/l/
1×+-commutative frac-2neg clear-num sum-log
Counts
4 → 110
Calls
4 calls:
3.0ms
(+ x (* y (/ z t)))
6.0ms
(* y (/ z t))
6.0ms
(* y (/ b t))
8.0ms
(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* y (/ b t)))))

series59.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ x (* y (/ z t)))
5.0ms
(* y (/ z t))
5.0ms
(* y (/ b t))
38.0ms
(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* y (/ b t)))))

simplify39.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
054631470

prune199.0ms

Filtered
86 candidates to 122 candidates (-41.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New11111122
Fresh011
Picked101
Done000
Total11212124

Merged error: 11.7b

Counts
124 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ 1 (+ a (+ 1.0 (* y (/ b t)))))
5.2b
(* y (/ z t))
5.5b
(* y (/ b t))
11.5b
(* (+ x (* y (/ z t))) (/ 1 (+ a (+ 1.0 (* y (/ b t))))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
53×*-un-lft-identity
46×times-frac
44×associate-*r*
38×add-cube-cbrt
27×add-exp-log
21×add-cbrt-cube
11×pow1
9×associate-*l*
8×prod-exp
7×distribute-lft-out unswap-sqr
6×div-exp cbrt-unprod
4×cbrt-undiv flip3-+ associate-/r* associate-/r/ flip-+ div-inv add-log-exp
3×associate-*r/ pow-prod-down *-commutative associate-/l*
2×frac-times rec-exp 1-exp associate-*l/
1×pow-flip frac-2neg clear-num un-div-inv inv-pow
Counts
4 → 146
Calls
4 calls:
6.0ms
(/ 1 (+ a (+ 1.0 (* y (/ b t)))))
6.0ms
(* y (/ z t))
6.0ms
(* y (/ b t))
14.0ms
(* (+ x (* y (/ z t))) (/ 1 (+ a (+ 1.0 (* y (/ b t))))))

series65.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(/ 1 (+ a (+ 1.0 (* y (/ b t)))))
5.0ms
(* y (/ z t))
5.0ms
(* y (/ b t))
42.0ms
(* (+ x (* y (/ z t))) (/ 1 (+ a (+ 1.0 (* y (/ b t))))))

simplify31.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
050631908

prune190.0ms

Filtered
99 candidates to 158 candidates (-59.6%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1580158
Fresh01111
Picked011
Done000
Total15812170

Merged error: 11.7b

Counts
170 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

12.0b
(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* (* (cbrt (* y (/ b t))) (cbrt (* y (/ b t)))) (cbrt (* y (/ b t)))))))
21.1b
(cbrt (* y (/ b t)))
21.1b
(cbrt (* y (/ b t)))
21.1b
(cbrt (* y (/ b t)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
13×add-sqr-sqrt add-cube-cbrt
12×times-frac
6×add-exp-log add-cbrt-cube
4×pow1 associate-/r* distribute-lft-out add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r/ associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 65
Calls
4 calls:
8.0ms
(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* (* (cbrt (* y (/ b t))) (cbrt (* y (/ b t)))) (cbrt (* y (/ b t)))))))
4.0ms
(cbrt (* y (/ b t)))
4.0ms
(cbrt (* y (/ b t)))
4.0ms
(cbrt (* y (/ b t)))

series104.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* (* (cbrt (* y (/ b t))) (cbrt (* y (/ b t)))) (cbrt (* y (/ b t)))))))
19.0ms
(cbrt (* y (/ b t)))
19.0ms
(cbrt (* y (/ b t)))
19.0ms
(cbrt (* y (/ b t)))

simplify86.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
048771144
148771144

prune120.0ms

Filtered
57 candidates to 77 candidates (-35.1%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh01010
Picked011
Done011
Total771289

Merged error: 11.7b

Counts
89 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
4.8b
(/ (* y b) t)
5.8b
(/ (* y z) t)
12.0b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
26×times-frac
22×distribute-lft-out
19×add-sqr-sqrt add-cube-cbrt
16×add-exp-log add-cbrt-cube
11×associate-/r*
6×associate-/l* add-log-exp
5×cbrt-undiv div-exp
4×pow1 flip3-+ associate-/r/ flip-+
3×frac-2neg clear-num div-inv
2×frac-add prod-exp cbrt-unprod associate-/l/
1×+-commutative sum-log
Counts
4 → 101
Calls
4 calls:
5.0ms
(+ x (/ (* y z) t))
4.0ms
(/ (* y b) t)
6.0ms
(/ (* y z) t)
13.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series55.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(+ x (/ (* y z) t))
5.0ms
(/ (* y b) t)
5.0ms
(/ (* y z) t)
37.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify39.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
050821595

prune99.0ms

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

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1112113
Fresh369
Picked011
Done022
Total11411125

Merged error: 10.7b

Counts
125 → 11

regimes1.1s

Accuracy

58.1% (2.7b remaining)

Error of 13.1b against oracle of 10.4b and baseline of 16.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
061144
161144

end0.0ms

sample711.0ms

Algorithm
intervals
Results
420.0ms8000×body80valid
13.0ms263×body80invalid

Profiling

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