Details

Time bar (total: 2.1s)

analyze19.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
25%74.9%0.1%6
93.7%6.2%0.1%7
96.8%3.1%0.1%8
99.5%0.4%0.1%9
99.7%0.2%0.1%10
99.8%0.1%0.1%11
99.9%0%0.1%12
99.9%0%0.1%13
99.9%0%0.1%14

sample30.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
0502719

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 29.9b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
4.3b
(- (* x x) (* (* y 4.0) y))
29.3b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 54
Calls
3 calls:
4.0ms
(+ (* x x) (* (* y 4.0) y))
4.0ms
(- (* x x) (* (* y 4.0) y))
9.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series25.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* x x) (* (* y 4.0) y))
7.0ms
(- (* x x) (* (* y 4.0) y))
11.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify66.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049431204
149431204

prune96.0ms

Filtered
52 candidates to 63 candidates (-21.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New59463
Fresh000
Picked101
Done000
Total60464

Merged error: 0.5b

Counts
64 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

1.7b
(* y (/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0)))
2.8b
(* x (/ x (+ (* x x) (* y (* y 4.0)))))
17.3b
(/ x (+ (* x x) (* y (* y 4.0))))
17.3b
(/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
163×times-frac
112×add-sqr-sqrt
98×add-cube-cbrt *-un-lft-identity
59×associate-*r*
25×add-exp-log add-cbrt-cube
16×associate-/r*
11×div-inv
8×pow1 cbrt-undiv div-exp
6×associate-*l* associate-/r/ associate-/l*
5×prod-exp cbrt-unprod unswap-sqr
4×add-log-exp
2×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
4 → 199
Calls
4 calls:
18.0ms
(* y (/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0)))
9.0ms
(* x (/ x (+ (* x x) (* y (* y 4.0)))))
5.0ms
(/ x (+ (* x x) (* y (* y 4.0))))
8.0ms
(/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0))

series33.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* y (/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0)))
8.0ms
(* x (/ x (+ (* x x) (* y (* y 4.0)))))
8.0ms
(/ x (+ (* x x) (* y (* y 4.0))))
8.0ms
(/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
051413744

prune344.0ms

Filtered
167 candidates to 211 candidates (-26.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2101211
Fresh033
Picked101
Done000
Total2114215

Merged error: 0.5b

Counts
215 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

1.7b
(* y (* y (/ 4.0 (+ (* x x) (* y (* y 4.0))))))
2.8b
(* x (/ x (+ (* x x) (* y (* y 4.0)))))
17.0b
(* y (/ 4.0 (+ (* x x) (* y (* y 4.0)))))
17.3b
(/ x (+ (* x x) (* y (* y 4.0))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×associate-*r*
29×add-cube-cbrt *-un-lft-identity times-frac
25×add-exp-log add-cbrt-cube
13×pow1
9×associate-*l* prod-exp cbrt-unprod
6×associate-/r/
5×pow-prod-down
4×cbrt-undiv associate-*r/ div-exp add-log-exp unswap-sqr
3×flip3-+ associate-/r* *-commutative flip-+ div-inv associate-/l*
1×frac-2neg clear-num
Counts
4 → 118
Calls
4 calls:
9.0ms
(* y (* y (/ 4.0 (+ (* x x) (* y (* y 4.0))))))
9.0ms
(* x (/ x (+ (* x x) (* y (* y 4.0)))))
9.0ms
(* y (/ 4.0 (+ (* x x) (* y (* y 4.0)))))
8.0ms
(/ x (+ (* x x) (* y (* y 4.0))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* y (* y (/ 4.0 (+ (* x x) (* y (* y 4.0))))))
8.0ms
(* x (/ x (+ (* x x) (* y (* y 4.0)))))
8.0ms
(* y (/ 4.0 (+ (* x x) (* y (* y 4.0)))))
8.0ms
(/ x (+ (* x x) (* y (* y 4.0))))

simplify64.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049621808
149621808

prune159.0ms

Filtered
91 candidates to 130 candidates (-42.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1300130
Fresh033
Picked011
Done000
Total1304134

Merged error: 0.5b

Counts
134 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (exp (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))))
0.0b
(+ (* x x) (* y (* y 4.0)))
4.3b
(- (* x x) (* y (* y 4.0)))
29.3b
(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
16×log-pow
15×exp-prod
8×add-log-exp
6×add-exp-log add-cbrt-cube
5×pow1
4×associate-/r/
3×log-prod flip3-+ associate-/r* flip-+ associate-/l*
2×flip3-- div-sub flip-- div-inv associate-/l/
1×cbrt-undiv +-commutative sub-neg log-div frac-2neg exp-diff diff-log div-exp rem-log-exp clear-num sum-log
Counts
4 → 82
Calls
4 calls:
9.0ms
(log (exp (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))))
4.0ms
(+ (* x x) (* y (* y 4.0)))
4.0ms
(- (* x x) (* y (* y 4.0)))
9.0ms
(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))

series39.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(log (exp (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))))
6.0ms
(+ (* x x) (* y (* y 4.0)))
7.0ms
(- (* x x) (* y (* y 4.0)))
12.0ms
(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))

simplify79.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
049461825
149461825

prune147.0ms

Filtered
74 candidates to 94 candidates (-27.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh022
Picked011
Done011
Total94498

Merged error: 0.5b

Counts
98 → 4

regimes189.0ms

Accuracy

55.5% (13.9b remaining)

Error of 14.3b against oracle of 0.4b and baseline of 31.6b

bsearch32.0ms

Steps
ItersRangePoint
7
2.21164768787581e+20
2.705961703300865e+22
8.71219008979303e+20
7
-7.00620505207868e-158
-8.651663849223315e-160
-3.092213754992166e-158
5
-5.884742016251089e+131
-1.9587680965410494e+131
-4.41949527347075e+131

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06136
16136

end0.0ms

sample439.0ms

Algorithm
intervals
Results
323.0ms8000×body80valid

Profiling

Loading profile data...