Details

Time bar (total: 4.5s)

analyze1.0s

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
1.8%98%0.2%10
7.7%92.1%0.2%11
10.4%89.4%0.2%12
14.9%84.9%0.2%13
16.2%83.5%0.3%14

sample30.0ms

Algorithm
intervals
Results
8.0ms220×body80valid
3.0ms19×body640valid
1.0ms37×body80invalid
1.0ms5×body1280valid
1.0ms7×body320valid
0.0ms5×body160valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
0491213
1491213

prune12.0ms

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: 8.6b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.1b
(+ x (* (- y x) (/ (- z t) (- a t))))
1.8b
(* (- y x) (/ (- z t) (- a t)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 119
Calls
3 calls:
8.0ms
(/ (- z t) (- a t))
9.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))
17.0ms
(* (- y x) (/ (- z t) (- a t)))

series93.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(/ (- z t) (- a t))
52.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))
31.0ms
(* (- y x) (/ (- z t) (- a t)))

simplify43.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050681606

prune158.0ms

Filtered
87 candidates to 128 candidates (-47.1%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1199128
Fresh011
Picked011
Done000
Total11911130

Merged error: 3.7b

Counts
130 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

1.1b
(+ x (* (* (- y x) (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))) (cbrt (/ (- z t) (- a t)))))
2.5b
(cbrt (/ (- z t) (- a t)))
2.5b
(cbrt (/ (- z t) (- a t)))
2.5b
(cbrt (/ (- z t) (- a t)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
97×add-sqr-sqrt *-un-lft-identity
93×cbrt-prod
75×times-frac
37×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
6×associate-/r/ add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×cbrt-div flip3-- pow1/3 flip-- div-inv
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 131
Calls
4 calls:
4.0ms
(+ x (* (* (- y x) (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))) (cbrt (/ (- z t) (- a t)))))
7.0ms
(cbrt (/ (- z t) (- a t)))
7.0ms
(cbrt (/ (- z t) (- a t)))
7.0ms
(cbrt (/ (- z t) (- a t)))

series229.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+ x (* (* (- y x) (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))) (cbrt (/ (- z t) (- a t)))))
57.0ms
(cbrt (/ (- z t) (- a t)))
59.0ms
(cbrt (/ (- z t) (- a t)))
61.0ms
(cbrt (/ (- z t) (- a t)))

simplify87.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
050332306

prune175.0ms

Filtered
102 candidates to 143 candidates (-40.2%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1403143
Fresh189
Picked011
Done011
Total14113154

Merged error: 3.6b

Counts
154 → 13

localize24.0ms

Local error

Found 4 expressions with local error:

1.1b
(cbrt (/ (cbrt (- z t)) (- a t)))
2.5b
(cbrt (/ (- z t) (- a t)))
2.5b
(cbrt (/ (- z t) (- a t)))
3.3b
(+ x (* (* (- y x) (* (cbrt (/ (- z t) (- a t))) (* (cbrt (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (/ (cbrt (- z t)) (- a t)))))) (cbrt (/ (- z t) (- a t)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
133×cbrt-prod
111×add-sqr-sqrt *-un-lft-identity
90×times-frac
45×add-cube-cbrt
33×distribute-lft-out-- difference-of-squares
6×associate-/r/ add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×cbrt-div flip3-- pow1/3 flip-- div-inv
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 146
Calls
4 calls:
10.0ms
(cbrt (/ (cbrt (- z t)) (- a t)))
7.0ms
(cbrt (/ (- z t) (- a t)))
7.0ms
(cbrt (/ (- z t) (- a t)))
4.0ms
(+ x (* (* (- y x) (* (cbrt (/ (- z t) (- a t))) (* (cbrt (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (/ (cbrt (- z t)) (- a t)))))) (cbrt (/ (- z t) (- a t)))))

series273.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(cbrt (/ (cbrt (- z t)) (- a t)))
58.0ms
(cbrt (/ (- z t) (- a t)))
57.0ms
(cbrt (/ (- z t) (- a t)))
78.0ms
(+ x (* (* (- y x) (* (cbrt (/ (- z t) (- a t))) (* (cbrt (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (/ (cbrt (- z t)) (- a t)))))) (cbrt (/ (- z t) (- a t)))))

simplify37.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
050003214

prune220.0ms

Filtered
116 candidates to 158 candidates (-36.2%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1544158
Fresh3710
Picked011
Done112
Total15813171

Merged error: 3.6b

Counts
171 → 13

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (- z t)))
2.5b
(cbrt (/ (- z t) (- a t)))
2.5b
(cbrt (/ (- z t) (- a t)))
3.3b
(+ x (* (* (- y x) (* (cbrt (/ (- z t) (- a t))) (* (cbrt (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (cbrt (- z t))) (cbrt (- a t)))))) (cbrt (/ (- z t) (- a t)))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
75×cbrt-prod
70×add-sqr-sqrt *-un-lft-identity
50×times-frac
28×add-cube-cbrt
21×distribute-lft-out-- difference-of-squares
6×cbrt-div add-log-exp
4×pow1 add-exp-log associate-/r/ add-cbrt-cube
3×flip3-- pow1/3 flip--
2×div-inv
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 109
Calls
4 calls:
4.0ms
(cbrt (cbrt (- z t)))
9.0ms
(cbrt (/ (- z t) (- a t)))
7.0ms
(cbrt (/ (- z t) (- a t)))
4.0ms
(+ x (* (* (- y x) (* (cbrt (/ (- z t) (- a t))) (* (cbrt (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (cbrt (- z t))) (cbrt (- a t)))))) (cbrt (/ (- z t) (- a t)))))

series199.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (cbrt (- z t)))
60.0ms
(cbrt (/ (- z t) (- a t)))
62.0ms
(cbrt (/ (- z t) (- a t)))
51.0ms
(+ x (* (* (- y x) (* (cbrt (/ (- z t) (- a t))) (* (cbrt (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (cbrt (- z t))) (cbrt (- a t)))))) (cbrt (/ (- z t) (- a t)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
051672332

prune129.0ms

Filtered
91 candidates to 121 candidates (-33.0%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh01010
Picked011
Done022
Total12113134

Merged error: 3.6b

Counts
134 → 13

regimes698.0ms

Accuracy

33.4% (5.5b remaining)

Error of 9.0b against oracle of 3.5b and baseline of 11.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08759
18759

end0.0ms

sample810.0ms

Algorithm
intervals
Results
267.0ms6537×body80valid
74.0ms499×body640valid
50.0ms266×body1280valid
44.0ms417×body320valid
44.0ms1188×body80invalid
19.0ms262×body160valid
4.0ms19×body2560valid

Profiling

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