Details

Time bar (total: 4.3s)

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
0%99.8%0.2%10
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14

sample46.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
4.0ms71×body80invalid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (107.0ms)

IterNodesCost
014449
114449

prune13.0ms

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: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) a)
0.0b
(+ x (* y (/ (- z t) a)))
5.9b
(* y (/ (- z t) a))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
6.0ms
(/ (- z t) a)
3.0ms
(+ x (* y (/ (- z t) a)))
9.0ms
(* y (/ (- z t) a))

series38.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- z t) a)
16.0ms
(+ x (* y (/ (- z t) a)))
13.0ms
(* y (/ (- z t) a))

simplify55.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
06003889

prune138.0ms

Filtered
65 candidates to 96 candidates (-47.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New88896
Fresh011
Picked011
Done000
Total881098

Merged error: 0.0b

Counts
98 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
6.0b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
21.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series83.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt a)
21.0ms
(cbrt a)
21.0ms
(cbrt a)
18.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify70.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049401089
149401089

prune149.0ms

Filtered
76 candidates to 116 candidates (-52.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1151116
Fresh178
Picked011
Done011
Total11610126

Merged error: 0.0b

Counts
126 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

1.2b
(* y (* (cbrt (/ (- z t) a)) (cbrt (/ (- z t) a))))
7.9b
(cbrt (/ (- z t) a))
7.9b
(cbrt (/ (- z t) a))
7.9b
(cbrt (/ (- z t) a))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
57×cbrt-prod
51×add-sqr-sqrt
50×*-un-lft-identity
45×times-frac
32×add-cube-cbrt
9×pow1 add-exp-log distribute-lft-out-- difference-of-squares
7×cbrt-div add-cbrt-cube
4×associate-*r/ add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 106
Calls
4 calls:
14.0ms
(* y (* (cbrt (/ (- z t) a)) (cbrt (/ (- z t) a))))
4.0ms
(cbrt (/ (- z t) a))
4.0ms
(cbrt (/ (- z t) a))
4.0ms
(cbrt (/ (- z t) a))

series141.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* y (* (cbrt (/ (- z t) a)) (cbrt (/ (- z t) a))))
30.0ms
(cbrt (/ (- z t) a))
33.0ms
(cbrt (/ (- z t) a))
30.0ms
(cbrt (/ (- z t) a))

simplify80.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
050401522

prune164.0ms

Filtered
94 candidates to 118 candidates (-25.5%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1180118
Fresh077
Picked011
Done022
Total11810128

Merged error: 0.0b

Counts
128 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.5b
(* (/ (- z t) a) (cbrt y))
3.5b
(* (* (cbrt y) (cbrt y)) (* (/ (- z t) a) (cbrt y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
30×add-exp-log
23×*-un-lft-identity
20×associate-*l*
18×pow1 add-cbrt-cube
17×add-cube-cbrt times-frac
15×prod-exp cbrt-unprod
11×cbrt-prod
9×pow-prod-down
7×associate-*r*
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l/ *-commutative
1×associate-*r/ div-inv
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
9.0ms
(* (/ (- z t) a) (cbrt y))
12.0ms
(* (* (cbrt y) (cbrt y)) (* (/ (- z t) a) (cbrt y)))

series95.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
37.0ms
(* (/ (- z t) a) (cbrt y))
17.0ms
(* (* (cbrt y) (cbrt y)) (* (/ (- z t) a) (cbrt y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04997817
14997817

prune92.0ms

Filtered
66 candidates to 104 candidates (-57.6%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1040104
Fresh066
Picked011
Done033
Total10410114

Merged error: 0.0b

Counts
114 → 10

regimes989.0ms

Accuracy

82.6% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.1b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08835
18835

end0.0ms

sample723.0ms

Algorithm
intervals
Results
292.0ms8000×body80valid
87.0ms2552×body80invalid

Profiling

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