Details

Time bar (total: 4.2s)

analyze333.0ms

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
12.5%87.4%0.1%4
18.7%81.2%0.1%5
21.9%78%0.1%6
50%43.7%6.3%7
50%43.7%6.3%8
56.2%34.3%9.5%9
56.2%34.3%9.5%10
59.3%29.7%11%11
59.3%29.7%11%12
60.9%27.3%11.8%13
60.9%27.3%11.8%14

sample81.0ms

Algorithm
intervals
Results
17.0ms51×body1280valid
17.0ms57×body1280invalid
8.0ms39×body640valid
7.0ms38×body640invalid
7.0ms138×body80valid
4.0ms81×body80invalid
3.0ms25×body320invalid
3.0ms23×body320valid
1.0ms11×body160invalid
0.0ms5×body160valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
064487

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(sinh y)
0.0b
(* (sin x) (/ (sinh y) y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l*
2×prod-exp cbrt-unprod add-log-exp unswap-sqr
1×cbrt-undiv sinh-def associate-*r/ div-exp pow-prod-down *-commutative div-inv
Counts
2 → 40
Calls
2 calls:
1.0ms
(sinh y)
7.0ms
(* (sin x) (/ (sinh y) y))

series28.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(sinh y)
20.0ms
(* (sin x) (/ (sinh y) y))

simplify39.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04964383
14964383

prune106.0ms

Filtered
37 candidates to 46 candidates (-24.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New43346
Fresh000
Picked011
Done000
Total43447

Merged error: 0b

Counts
47 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))
0.6b
(cbrt (* (sin x) (/ (sinh y) y)))
0.6b
(cbrt (* (sin x) (/ (sinh y) y)))
0.6b
(cbrt (* (sin x) (/ (sinh y) y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity associate-*r/
7×cbrt-prod cbrt-div
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 64
Calls
4 calls:
5.0ms
(* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))
4.0ms
(cbrt (* (sin x) (/ (sinh y) y)))
4.0ms
(cbrt (* (sin x) (/ (sinh y) y)))
4.0ms
(cbrt (* (sin x) (/ (sinh y) y)))

series202.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))
46.0ms
(cbrt (* (sin x) (/ (sinh y) y)))
44.0ms
(cbrt (* (sin x) (/ (sinh y) y)))
47.0ms
(cbrt (* (sin x) (/ (sinh y) y)))

simplify30.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
04968841
14968841

prune74.0ms

Filtered
61 candidates to 76 candidates (-24.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh022
Picked011
Done011
Total76480

Merged error: 0b

Counts
80 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y y) (* x x))
0.0b
(+ x (* x (* 1/6 (- (* y y) (* x x)))))
0.1b
(* x (* 1/6 (- (* y y) (* x x))))
0.3b
(* 1/6 (- (* y y) (* x x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log sub-neg add-cbrt-cube
9×distribute-rgt-in add-sqr-sqrt distribute-lft-in
8×add-log-exp
7×add-cube-cbrt *-un-lft-identity
6×associate-*r/ associate-*l*
5×associate-*r*
4×associate-+r+ pow-prod-down prod-exp cbrt-unprod
3×flip3-- flip--
2×*-commutative difference-of-squares
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 74
Calls
4 calls:
3.0ms
(- (* y y) (* x x))
3.0ms
(+ x (* x (* 1/6 (- (* y y) (* x x)))))
7.0ms
(* x (* 1/6 (- (* y y) (* x x))))
6.0ms
(* 1/6 (- (* y y) (* x x)))

series33.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* y y) (* x x))
12.0ms
(+ x (* x (* 1/6 (- (* y y) (* x x)))))
9.0ms
(* x (* 1/6 (- (* y y) (* x x))))
7.0ms
(* 1/6 (- (* y y) (* x x)))

simplify26.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
04980996
14980996

prune81.0ms

Filtered
59 candidates to 86 candidates (-45.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New86086
Fresh011
Picked011
Done022
Total86490

Merged error: 0b

Counts
90 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.0b
(sqrt (sin x))
0.0b
(sqrt (sin x))
0.2b
(* (* (sqrt (sin x)) (sqrt (/ (sinh y) y))) (* (sqrt (sin x)) (sqrt (/ (sinh y) y))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
35×pow-prod-down
18×sqrt-pow1 pow1/2
16×add-exp-log add-cbrt-cube
8×add-sqr-sqrt prod-exp pow-prod-up cbrt-unprod
6×add-cube-cbrt *-un-lft-identity sqrt-prod pow-sqr
5×sqrt-unprod associate-*r/
4×sqrt-div add-log-exp
2×rem-sqrt-square pow-plus
1×pow2 frac-times sinh-def swap-sqr associate-*r* associate-*l* associate-*l/ rem-square-sqrt *-commutative
Counts
4 → 81
Calls
4 calls:
1.0ms
(sinh y)
1.0ms
(sqrt (sin x))
2.0ms
(sqrt (sin x))
14.0ms
(* (* (sqrt (sin x)) (sqrt (/ (sinh y) y))) (* (sqrt (sin x)) (sqrt (/ (sinh y) y))))

series50.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(sinh y)
3.0ms
(sqrt (sin x))
3.0ms
(sqrt (sin x))
37.0ms
(* (* (sqrt (sin x)) (sqrt (/ (sinh y) y))) (* (sqrt (sin x)) (sqrt (/ (sinh y) y))))

simplify27.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
05261716

prune67.0ms

Filtered
50 candidates to 93 candidates (-86.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New93093
Fresh000
Picked011
Done033
Total93497

Merged error: 0b

Counts
97 → 4

regimes202.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
177

end0.0ms

analyze321.0ms

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
12.5%87.4%0.1%4
18.7%81.2%0.1%5
21.9%78%0.1%6
50%43.7%6.3%7
50%43.7%6.3%8
56.2%34.3%9.5%9
56.2%34.3%9.5%10
59.3%29.7%11%11
59.3%29.7%11%12
60.9%27.3%11.8%13
60.9%27.3%11.8%14

sample2.3s

Algorithm
intervals
Results
512.0ms1542×body1280valid
442.0ms1479×body1280invalid
249.0ms1239×body640valid
241.0ms1241×body640invalid
219.0ms4292×body80valid
118.0ms2373×body80invalid
87.0ms620×body320invalid
85.0ms623×body320valid
30.0ms309×body160invalid
30.0ms304×body160valid

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