Details

Time bar (total: 4.0s)

analyze889.0ms

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
2.3%97.4%0.2%9
4.7%95.1%0.2%10
12.7%87.1%0.2%11
15.9%83.9%0.2%12
24.9%74.9%0.2%13
33.3%66.5%0.2%14

sample24.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms30×body80invalid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
08511
18511

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
0.9b
(* y (/ (- z t) (- z a)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ (- z t) (- z a))
13.0ms
(* y (/ (- z t) (- z a)))

series24.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (- z t) (- z a))
15.0ms
(* y (/ (- z t) (- z a)))

simplify59.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
052851165

prune126.0ms

Filtered
71 candidates to 108 candidates (-52.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1008108
Fresh000
Picked011
Done000
Total1009109

Merged error: 0b

Counts
109 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
2.7b
(cbrt (/ (- z t) (- z a)))
2.7b
(cbrt (/ (- z t) (- z a)))
2.7b
(cbrt (/ (- z t) (- z a)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
98×*-un-lft-identity
93×cbrt-prod
75×times-frac
38×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
9×pow1 add-exp-log
7×cbrt-div add-cbrt-cube
6×associate-/r/
4×associate-*r/ add-log-exp
3×flip3-- pow1/3 associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 142
Calls
4 calls:
19.0ms
(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
6.0ms
(cbrt (/ (- z t) (- z a)))
7.0ms
(cbrt (/ (- z t) (- z a)))
6.0ms
(cbrt (/ (- z t) (- z a)))

series129.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
29.0ms
(cbrt (/ (- z t) (- z a)))
29.0ms
(cbrt (/ (- z t) (- z a)))
32.0ms
(cbrt (/ (- z t) (- z a)))

simplify49.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
057732243

prune156.0ms

Filtered
108 candidates to 154 candidates (-42.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1540154
Fresh077
Picked011
Done011
Total1549163

Merged error: 0b

Counts
163 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.8b
(* (* (cbrt y) (cbrt y)) (* (- z t) (/ (cbrt y) (- z a))))
3.6b
(* (- z t) (/ (cbrt y) (- z a)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
38×*-un-lft-identity
37×associate-*r*
32×times-frac
30×add-exp-log
24×add-cube-cbrt
22×cbrt-prod
21×add-cbrt-cube
18×pow1
15×prod-exp cbrt-unprod
9×pow-prod-down
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l*
5×flip3-- flip--
4×frac-times associate-*l/ add-log-exp
3×cbrt-undiv div-exp unswap-sqr
2×pow1/3 associate-/r/ *-commutative
1×div-inv
Counts
4 → 115
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
15.0ms
(* (* (cbrt y) (cbrt y)) (* (- z t) (/ (cbrt y) (- z a))))
15.0ms
(* (- z t) (/ (cbrt y) (- z a)))

series111.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
21.0ms
(cbrt y)
18.0ms
(* (* (cbrt y) (cbrt y)) (* (- z t) (/ (cbrt y) (- z a))))
50.0ms
(* (- z t) (/ (cbrt y) (- z a)))

simplify47.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049931161
149931161

prune117.0ms

Filtered
81 candidates to 127 candidates (-56.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1261127
Fresh336
Picked101
Done202
Total1324136

Merged error: 0b

Counts
136 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
10.2b
(* (- z t) (/ y (- z a)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
5.0ms
(/ y (- z a))
12.0ms
(* (- z t) (/ y (- z a)))

series22.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ y (- z a))
15.0ms
(* (- z t) (/ y (- z a)))

simplify69.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05011857

prune85.0ms

Filtered
64 candidates to 89 candidates (-39.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New89089
Fresh033
Picked011
Done000
Total89493

Merged error: 0b

Counts
93 → 4

regimes411.0ms

Accuracy

61.2% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03246
13246

end0.0ms

analyze877.0ms

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
2.3%97.4%0.2%9
4.7%95.1%0.2%10
12.7%87.1%0.2%11
15.9%83.9%0.2%12
24.9%74.9%0.2%13
33.3%66.5%0.2%14

sample598.0ms

Algorithm
intervals
Results
307.0ms7998×body80valid
27.0ms758×body80invalid
0.0ms1×body640valid
0.0ms1×body160valid

Profiling

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