Details

Time bar (total: 26.5s)

sample478.0ms

Algorithm
intervals
Results
160.0ms44×body5120valid
129.0ms66×body2560valid
101.0ms128×body1280valid
42.0ms79×body640valid
12.0ms31×body320valid
9.0ms72×body80valid
3.0ms13×body160valid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
04413
114713
285712
3500211

prune11.0ms

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: 38.2b

Counts
2 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k))
0.3b
(pow (/ k t) 2.0)
21.4b
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
27.3b
(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
390×add-exp-log
262×prod-exp
75×div-exp
72×add-cbrt-cube
62×pow-exp
41×pow-to-exp
39×cbrt-unprod
26×unpow-prod-down
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×times-frac
18×associate-*l*
12×cbrt-undiv
7×pow1
6×associate-*r/
4×associate-*r* add-log-exp
3×tan-quot pow-unpow div-inv
2×associate-*l/ *-commutative sqr-pow
1×pow-pow frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ associate-/l*
Counts
4 → 187
Calls
4 calls:
13.0ms
(* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k))
5.0ms
(pow (/ k t) 2.0)
17.0ms
(/ (* 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)))

series932.0ms

Counts
4 → 12
Calls
4 calls:
266.0ms
(* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k))
64.0ms
(pow (/ k t) 2.0)
364.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
238.0ms
(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

simplify137.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
09352182
149921803
250011803

prune370.0ms

Filtered
199 candidates to 80 candidates (40.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1927199
Fresh101
Picked101
Done000
Total1947201

Merged error: 23.1b

Counts
201 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

1.1b
(/ 1 (* (pow k 2.0) (pow t 1.0)))
3.4b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
7.6b
(* (pow k 2.0) (pow t 1.0))
17.5b
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
1645×add-exp-log
1122×prod-exp
899×pow-exp
688×div-exp
509×pow-to-exp
140×rec-exp 1-exp
37×add-sqr-sqrt
29×unpow-prod-down
25×add-cbrt-cube
22×times-frac
20×add-cube-cbrt *-un-lft-identity
19×associate-*r*
18×associate-*l*
13×sqr-pow
12×unswap-sqr
9×associate-/r*
7×cbrt-unprod
6×cbrt-undiv
5×pow1
4×div-inv associate-/l* add-log-exp
3×unpow2
2×frac-2neg clear-num *-commutative
1×pow-flip associate-*r/ inv-pow
Counts
4 → 600
Calls
4 calls:
7.0ms
(/ 1 (* (pow k 2.0) (pow t 1.0)))
8.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
7.0ms
(* (pow k 2.0) (pow t 1.0))
25.0ms
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

series1.4s

Counts
4 → 12
Calls
4 calls:
330.0ms
(/ 1 (* (pow k 2.0) (pow t 1.0)))
89.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
327.0ms
(* (pow k 2.0) (pow t 1.0))
635.0ms
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

simplify160.0ms

Algorithm
egg-herbie
Counts
612 → 612
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
013167194
141627025
250027018

prune548.0ms

Filtered
612 candidates to 100 candidates (16.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New6057612
Fresh336
Picked101
Done000
Total60910619

Merged error: 18.3b

Counts
619 → 10

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (sin k) 2)
1.1b
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
3.4b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
17.5b
(* (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)))

rewrite292.0ms

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*
9×associate-/r*
8×cbrt-unprod
7×cbrt-undiv
6×pow1 sqr-pow
4×div-inv associate-/l* unpow2 add-log-exp
3×pow-unpow unswap-sqr
2×frac-2neg clear-num
1×pow-flip pow-pow associate-*r/ *-commutative inv-pow
Counts
4 → 1460
Calls
4 calls:
2.0ms
(pow (sin k) 2)
12.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
8.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
41.0ms
(* (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)))

series1.3s

Counts
4 → 12
Calls
4 calls:
19.0ms
(pow (sin k) 2)
337.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
87.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
866.0ms
(* (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)))

simplify314.0ms

Algorithm
egg-herbie
Counts
1472 → 1472
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
0174223543
1457419111
2500217858

prune510.0ms

Filtered
1472 candidates to 87 candidates (5.9%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New146661472
Fresh279
Picked101
Done000
Total1469131482

Merged error: 14.6b

Counts
1482 → 13

localize33.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0)))
3.4b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
3.7b
(* (pow (/ 1 (pow k (/ 2.0 2))) 1.0) (* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2))))
13.0b
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
25023×add-exp-log
19197×prod-exp
16899×pow-exp
11140×div-exp
7959×pow-to-exp
2990×rec-exp 1-exp
51×unpow-prod-down
43×times-frac
40×associate-*l*
37×add-cbrt-cube
36×add-sqr-sqrt
31×add-cube-cbrt *-un-lft-identity
14×cbrt-unprod
13×associate-*r*
9×associate-/r* sqr-pow
8×cbrt-undiv
5×pow1 div-inv
4×associate-/l* add-log-exp
3×associate-*r/ unpow2 unswap-sqr
2×frac-2neg clear-num *-commutative
1×pow-flip inv-pow
Counts
4 → 5762
Calls
4 calls:
7.0ms
(/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0)))
8.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
105.0ms
(* (pow (/ 1 (pow k (/ 2.0 2))) 1.0) (* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2))))
22.0ms
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

series1.8s

Counts
4 → 12
Calls
4 calls:
344.0ms
(/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0)))
90.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
664.0ms
(* (pow (/ 1 (pow k (/ 2.0 2))) 1.0) (* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2))))
658.0ms
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

simplify1.1s

Algorithm
egg-herbie
Counts
5774 → 5774
Iterations

Useful iterations: 1 (67.0ms)

IterNodesCost
04423106447
15002106273

prune955.0ms

Filtered
5774 candidates to 118 candidates (2.0%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New576865774
Fresh21012
Picked101
Done000
Total5771165787

Merged error: 14.6b

Counts
5787 → 16

regimes409.0ms

Accuracy

56.8% (2.1b remaining)

Error of 14.9b against oracle of 12.8b and baseline of 17.6b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06458
16458

end0.0ms

sample14.3s

Algorithm
intervals
Results
4.4s2211×body2560valid
4.0s966×body5120valid
3.3s4092×body1280valid
1.4s2542×body640valid
381.0ms1000×body320valid
262.0ms2036×body80valid
121.0ms447×body160valid

Profiling

Loading profile data...