Details

Time bar (total: 7.2s)

analyze874.0ms

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
0%99.9%0.1%6
18.7%81.2%0.1%7
18.7%81.2%0.1%8
29.7%69.5%0.9%9
30.4%67.9%1.7%10
36.3%61.1%2.6%11
36.9%59.5%3.6%12
39.9%55.9%4.2%13
40.2%54.9%4.9%14

sample160.0ms

Algorithm
intervals
Results
94.0ms30×body2560valid
37.0ms54×body1280valid
8.0ms28×body640valid
6.0ms131×body80valid
2.0ms10×body320valid
0.0ms3×body160valid
0.0ms4×body80invalid

simplify454.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
067114
167114

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: 21.4b

Counts
2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
7.2b
(/ (tan (* PI l)) (* F F))
30.1b
(tan (* PI l))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×add-exp-log add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
8×pow1
6×associate-*r* associate-*l*
4×add-log-exp
3×times-frac prod-exp cbrt-unprod associate-/l*
2×tan-quot cbrt-undiv div-exp pow-prod-down *-commutative unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv associate-/l/
Counts
4 → 66
Calls
4 calls:
3.0ms
(* PI l)
3.0ms
(* PI l)
6.0ms
(/ (tan (* PI l)) (* F F))
3.0ms
(tan (* PI l))

series42.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
19.0ms
(/ (tan (* PI l)) (* F F))
18.0ms
(tan (* PI l))

simplify51.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05225541

prune151.0ms

Filtered
53 candidates to 78 candidates (-47.2%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New601878
Fresh101
Picked101
Done000
Total621880

Merged error: 13.6b

Counts
80 → 18

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
0.2b
(/ (tan (* PI l)) F)
30.1b
(tan (* PI l))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
9×times-frac
8×pow1
6×associate-*r* associate-*l*
4×add-log-exp
3×associate-/r* associate-/l*
2×tan-quot pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×cbrt-undiv frac-2neg div-exp clear-num div-inv associate-/l/
Counts
4 → 72
Calls
4 calls:
3.0ms
(* PI l)
3.0ms
(* PI l)
4.0ms
(/ (tan (* PI l)) F)
2.0ms
(tan (* PI l))

series28.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
15.0ms
(/ (tan (* PI l)) F)
8.0ms
(tan (* PI l))

simplify68.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04715594
14715594

prune128.0ms

Filtered
59 candidates to 84 candidates (-42.4%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New80484
Fresh41317
Picked101
Done000
Total8517102

Merged error: 13.6b

Counts
102 → 17

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.3b
(/ F (tan (* PI l)))
0.5b
(/ 1 (/ F (tan (* PI l))))
30.1b
(tan (* PI l))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
59×add-sqr-sqrt
57×add-cube-cbrt *-un-lft-identity
19×add-exp-log
17×associate-/r*
13×add-cbrt-cube
8×div-exp
7×pow1
6×tan-quot associate-/r/ div-inv associate-/l*
4×cbrt-undiv add-log-exp
3×associate-*r* associate-*l*
2×rec-exp frac-2neg 1-exp clear-num
1×pow-flip pow-prod-down prod-exp *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
4 → 134
Calls
4 calls:
3.0ms
(* PI l)
4.0ms
(/ F (tan (* PI l)))
6.0ms
(/ 1 (/ F (tan (* PI l))))
2.0ms
(tan (* PI l))

series58.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
29.0ms
(/ F (tan (* PI l)))
18.0ms
(/ 1 (/ F (tan (* PI l))))
8.0ms
(tan (* PI l))

simplify57.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049031555
149031555

prune168.0ms

Filtered
97 candidates to 146 candidates (-50.5%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1451146
Fresh41216
Picked101
Done000
Total15013163

Merged error: 8.8b

Counts
163 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.3b
(* PI (* l (* F -1/3)))
0.3b
(* F -1/3)
0.8b
(/ 1 (+ (/ F (* PI l)) (* PI (* l (* F -1/3)))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-sqr-sqrt
19×add-cbrt-cube
18×pow1
17×add-cube-cbrt *-un-lft-identity
9×times-frac associate-*l*
8×pow-prod-down prod-exp cbrt-unprod
7×associate-*r*
4×add-log-exp
3×associate-/r* *-commutative associate-/l*
2×div-exp associate-/r/ unswap-sqr
1×cbrt-undiv rec-exp pow-flip frac-2neg flip3-+ 1-exp clear-num flip-+ div-inv inv-pow
Counts
4 → 90
Calls
4 calls:
3.0ms
(* PI l)
6.0ms
(* PI (* l (* F -1/3)))
4.0ms
(* F -1/3)
9.0ms
(/ 1 (+ (/ F (* PI l)) (* PI (* l (* F -1/3)))))

series28.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
5.0ms
(* PI (* l (* F -1/3)))
2.0ms
(* F -1/3)
19.0ms
(/ 1 (+ (/ F (* PI l)) (* PI (* l (* F -1/3)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049421080
149421080

prune108.0ms

Filtered
63 candidates to 102 candidates (-61.9%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New957102
Fresh21012
Picked101
Done000
Total9817115

Merged error: 8.8b

Counts
115 → 17

regimes381.0ms

Accuracy

0% (0.6b remaining)

Error of 8.8b against oracle of 8.2b and baseline of 8.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07558
17558

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.5s844×body2560valid
954.0ms1668×body1280valid
253.0ms946×body640valid
196.0ms3970×body80valid
67.0ms373×body320valid
23.0ms199×body160valid
9.0ms166×body80invalid
4.0ms2×body2560invalid
4.0ms9×body1280invalid
2.0ms6×body5120exit

Profiling

Loading profile data...