Details

Time bar (total: 7.9s)

analyze885.0ms

Algorithm
search

sample187.0ms

Algorithm
intervals
Results
117.0ms38×body2560valid
35.0ms57×body1280valid
8.0ms31×body640valid
6.0ms113×body80valid
2.0ms1×body2560invalid
2.0ms10×body320valid
1.0ms7×body160valid
0.0ms5×body80invalid

simplify366.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1397
2767
31147
41377
51447
61447

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.9b

Counts
2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.4b
(/ 1.0 (* F F))
3.9b
(* (/ 1.0 (* F F)) (tan (* PI l)))
33.1b
(tan (* PI l))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
17×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*l*
8×pow1
7×times-frac
6×associate-*r* prod-exp cbrt-unprod
4×cbrt-undiv div-exp add-log-exp
3×tan-quot associate-/l* unswap-sqr
2×pow-prod-down *-commutative div-inv
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r*
Counts
4 → 77
Calls
4 calls:
3.0ms
(* PI l)
4.0ms
(/ 1.0 (* F F))
9.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms
(tan (* PI l))

series46.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
3.0ms
(/ 1.0 (* F F))
23.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
18.0ms
(tan (* PI l))

simplify42.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0323443
11416374
25001374

prune152.0ms

Filtered
61 candidates to 89 candidates (-45.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New791089
Fresh000
Picked101
Done000
Total801090

Merged error: 14.8b

Counts
90 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
0.3b
(* (/ 1.0 F) (tan (* PI l)))
33.1b
(tan (* PI l))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
19×associate-*l*
16×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
10×pow1 times-frac
9×associate-*r*
4×prod-exp cbrt-unprod add-log-exp unswap-sqr
3×tan-quot pow-prod-down *-commutative
1×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ div-inv
Counts
4 → 78
Calls
4 calls:
3.0ms
(* PI l)
5.0ms
(* PI l)
7.0ms
(* (/ 1.0 F) (tan (* PI l)))
2.0ms
(tan (* PI l))

series33.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
20.0ms
(* (/ 1.0 F) (tan (* PI l)))
8.0ms
(tan (* PI l))

simplify86.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0277382
11009342
23834341
35001341

prune160.0ms

Filtered
64 candidates to 90 candidates (-40.6%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New801090
Fresh189
Picked101
Done000
Total8218100

Merged error: 14.7b

Counts
100 → 18

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
0.2b
(* PI l)
0.2b
(* PI l)
33.1b
(tan (* PI l))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
29×add-cbrt-cube
22×prod-exp
19×add-sqr-sqrt associate-*l*
15×add-cube-cbrt *-un-lft-identity
13×pow1
12×cbrt-unprod
10×div-exp
9×times-frac
7×associate-*r*
5×cbrt-undiv pow-prod-down
4×add-log-exp
3×rec-exp 1-exp associate-*r/ *-commutative
2×unswap-sqr
1×tan-quot frac-times associate-*l/ div-inv
Counts
4 → 89
Calls
4 calls:
9.0ms
(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
3.0ms
(* PI l)
3.0ms
(* PI l)
2.0ms
(tan (* PI l))

series36.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
2.0ms
(* PI l)
4.0ms
(* PI l)
8.0ms
(tan (* PI l))

simplify57.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0406553
12199441
25002434

prune142.0ms

Filtered
61 candidates to 101 candidates (-65.6%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New983101
Fresh31417
Picked101
Done000
Total10217119

Merged error: 14.7b

Counts
119 → 17

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.2b
(* PI l)
0.2b
(* PI l)
33.1b
(tan (* PI l))

rewrite17.0ms

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:
4.0ms
(/ (tan (* PI l)) F)
5.0ms
(* PI l)
4.0ms
(* PI l)
2.0ms
(tan (* PI l))

series29.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ (tan (* PI l)) F)
2.0ms
(* PI l)
2.0ms
(* PI l)
8.0ms
(tan (* PI l))

simplify64.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203349
1665322
22201322
35001322

prune87.0ms

Filtered
60 candidates to 84 candidates (-40.0%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New77784
Fresh61016
Picked101
Done000
Total8417101

Merged error: 14.7b

Counts
101 → 17

regimes555.0ms

Accuracy

0% (0.4b remaining)

Error of 12.4b against oracle of 12.1b and baseline of 12.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

analyze679.0ms

Algorithm
search

sample4.2s

Algorithm
intervals
Results
2.4s800×body2560valid
1.0s1738×body1280valid
263.0ms968×body640valid
197.0ms3862×body80valid
76.0ms431×body320valid
24.0ms201×body160valid
10.0ms174×body80invalid
4.0ms2×body2560invalid
4.0ms9×body1280invalid
1.0ms3×body5120exit

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