Details

Time bar (total: 30.0s)

sample464.0ms

Algorithm
intervals
Results
140.0ms80×body2560valid
128.0ms32×body5120valid
105.0ms130×body1280valid
52.0ms92×body640valid
8.0ms22×body320valid
6.0ms47×body80valid
2.0ms10×body160valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
04413
114713
285712
3500211

prune12.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 36.8b

Counts
2 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (/ k t) 2.0)
1.0b
(* (pow t 3.0) (tan k))
18.9b
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
27.5b
(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
337×add-exp-log
220×prod-exp
71×div-exp
65×add-cbrt-cube
51×pow-exp
34×pow-to-exp cbrt-unprod
30×unpow-prod-down
28×add-sqr-sqrt
24×associate-*l*
23×add-cube-cbrt *-un-lft-identity
19×times-frac
12×cbrt-undiv
pow1 associate-*r/
associate-*r* add-log-exp sqr-pow
tan-quot pow-unpow div-inv unswap-sqr
*-commutative
pow-pow frac-2neg associate-*l/ clear-num associate-/r* associate-/r/ associate-/l*
Counts
4 → 179
Calls
4 calls:
4.0ms
(pow (/ k t) 2.0)
6.0ms
(* (pow t 3.0) (tan k))
18.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
11.0ms
(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

series928.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(pow (/ k t) 2.0)
243.0ms
(* (pow t 3.0) (tan k))
374.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
244.0ms
(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

simplify140.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09741954
149951620
250011620

prune424.0ms

Filtered
191 candidates to 88 candidates (46.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1847191
Fresh101
Picked101
Done000
Total1867193

Merged error: 20.1b

Counts
193 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (sin k) 2)
6.1b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
9.7b
(* (pow k 2.0) (pow t 1.0))
14.3b
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
1597×add-exp-log
1095×prod-exp
882×pow-exp
668×div-exp
492×pow-to-exp
130×rec-exp 1-exp
37×add-sqr-sqrt
32×unpow-prod-down
20×add-cube-cbrt *-un-lft-identity add-cbrt-cube
19×times-frac associate-*r*
18×associate-*l*
14×sqr-pow
12×unswap-sqr
associate-/r*
cbrt-unprod
pow1
cbrt-undiv unpow2 add-log-exp
pow-unpow div-inv
*-commutative
pow-pow frac-2neg associate-*r/ clear-num associate-/l*
Counts
4 → 567
Calls
4 calls:
3.0ms
(pow (sin k) 2)
8.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
7.0ms
(* (pow k 2.0) (pow t 1.0))
26.0ms
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

series1.1s

Counts
4 → 12
Calls
4 calls:
19.0ms
(pow (sin k) 2)
89.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
337.0ms
(* (pow k 2.0) (pow t 1.0))
654.0ms
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

simplify156.0ms

Algorithm
egg-herbie
Counts
579 → 579
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
011806917
137316762
250036761

prune557.0ms

Filtered
579 candidates to 96 candidates (16.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New5718579
Fresh336
Picked101
Done000
Total57511586

Merged error: 15.7b

Counts
586 → 11

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
0.4b
(pow (sin k) 2)
6.1b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
14.3b
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

rewrite272.0ms

Algorithm
rewrite-expression-head
Rules
5603×add-exp-log
4515×prod-exp
3078×pow-exp
2032×div-exp
1869×pow-to-exp
434×rec-exp 1-exp
27×add-cbrt-cube
23×add-sqr-sqrt
22×times-frac
20×unpow-prod-down
18×add-cube-cbrt *-un-lft-identity
12×associate-*r*
11×associate-*l*
associate-/r*
cbrt-unprod
cbrt-undiv
pow1 sqr-pow
div-inv associate-/l* unpow2 add-log-exp
pow-unpow unswap-sqr
frac-2neg clear-num
pow-flip pow-pow associate-*r/ *-commutative inv-pow
Counts
4 → 1460
Calls
4 calls:
12.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
3.0ms
(pow (sin k) 2)
8.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
43.0ms
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

series1.1s

Counts
4 → 12
Calls
4 calls:
347.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
18.0ms
(pow (sin k) 2)
90.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
667.0ms
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

simplify299.0ms

Algorithm
egg-herbie
Counts
1472 → 1472
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
0174223541
1457419109
2500217856

prune721.0ms

Filtered
1472 candidates to 86 candidates (5.8%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New146571472
Fresh4610
Picked101
Done000
Total1470131483

Merged error: 12.5b

Counts
1483 → 13

localize28.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
0.4b
(/ (cos k) (/ (/ (sin k) l) l))
2.4b
(/ (/ (cos k) (/ (/ (sin k) l) l)) (sin k))
14.3b
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (/ (cos k) (/ (/ (sin k) l) l)) (sin k)))

rewrite444.0ms

Algorithm
rewrite-expression-head
Rules
3522×times-frac
2743×add-exp-log
1561×add-sqr-sqrt
1506×add-cube-cbrt *-un-lft-identity prod-exp
1348×div-exp
974×pow-exp
509×pow-to-exp
406×associate-*r*
186×rec-exp 1-exp
140×associate-/l*
112×div-inv
56×add-cbrt-cube
47×associate-/r*
29×cbrt-undiv
15×unswap-sqr
12×unpow-prod-down
11×associate-*l*
associate-/r/ cbrt-unprod
sqr-pow
pow1
add-log-exp
frac-2neg clear-num
pow-flip associate-*r/ *-commutative associate-/l/ inv-pow
Counts
4 → 1791
Calls
4 calls:
12.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
13.0ms
(/ (cos k) (/ (/ (sin k) l) l))
40.0ms
(/ (/ (cos k) (/ (/ (sin k) l) l)) (sin k))
155.0ms
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (/ (cos k) (/ (/ (sin k) l) l)) (sin k)))

series1.2s

Counts
4 → 12
Calls
4 calls:
345.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
72.0ms
(/ (cos k) (/ (/ (sin k) l) l))
90.0ms
(/ (/ (cos k) (/ (/ (sin k) l) l)) (sin k))
654.0ms
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (/ (cos k) (/ (/ (sin k) l) l)) (sin k)))

simplify337.0ms

Algorithm
egg-herbie
Counts
1803 → 1803
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
0500134091

prune6.6s

Filtered
1803 candidates to 1140 candidates (63.2%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1792111803
Fresh9312
Picked101
Done000
Total1802141816

Merged error: 6.9b

Counts
1816 → 14

regimes351.0ms

Accuracy

27.2% (2.4b remaining)

Error of 10.3b against oracle of 7.9b and baseline of 11.2b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05240
15240

end0.0ms

sample14.7s

Algorithm
intervals
Results
4.5s2148×body2560valid
4.3s964×body5120valid
3.3s4079×body1280valid
1.4s2571×body640valid
380.0ms1028×body320valid
277.0ms2048×body80valid
99.0ms400×body160valid

Profiling

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