Details

Time bar (total: 24.8s)

sample478.0ms

Algorithm
intervals
Results
167.0ms87×body2560valid
111.0ms132×body1280valid
100.0ms21×body5120valid
51.0ms102×body640valid
10.0ms28×body320valid
7.0ms59×body80valid
6.0ms25×body160valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
04413
114713
285712
3500211

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 38.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (/ k t) 2.0)
1.0b
(* (pow t 3.0) (tan k))
20.1b
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
27.8b
(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

rewrite179.0ms

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
5×pow1 associate-*r/
4×associate-*r* add-log-exp sqr-pow
3×tan-quot pow-unpow div-inv unswap-sqr
2×*-commutative
1×pow-pow frac-2neg associate-*l/ clear-num associate-/r* associate-/r/ associate-/l*
Counts
4 → 179
Calls
4 calls:
6.0ms
(pow (/ k t) 2.0)
16.0ms
(* (pow t 3.0) (tan k))
99.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
45.0ms
(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

series948.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(pow (/ k t) 2.0)
241.0ms
(* (pow t 3.0) (tan k))
385.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
254.0ms
(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

simplify137.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09741954
149951620
250011620

prune437.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 20.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (* (pow k 2.0) (pow t 1.0)))
4.3b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
5.9b
(* (pow k 2.0) (pow t 1.0))
16.0b
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

rewrite194.0ms

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:
18.0ms
(/ 1 (* (pow k 2.0) (pow t 1.0)))
19.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
17.0ms
(* (pow k 2.0) (pow t 1.0))
76.0ms
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

series1.5s

Counts
4 → 12
Calls
4 calls:
350.0ms
(/ 1 (* (pow k 2.0) (pow t 1.0)))
93.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
341.0ms
(* (pow k 2.0) (pow t 1.0))
667.0ms
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

simplify152.0ms

Algorithm
egg-herbie
Counts
612 → 612
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
013167194
141627025
250027018

prune603.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 15.9b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (sin k) 2)
0.5b
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
4.3b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
16.0b
(* (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)))

rewrite435.0ms

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:
4.0ms
(pow (sin k) 2)
50.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
18.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
148.0ms
(* (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:
18.0ms
(pow (sin k) 2)
351.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
92.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
670.0ms
(* (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)))

simplify280.0ms

Algorithm
egg-herbie
Counts
1472 → 1472
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
0174223543
1457419111
2500217858

prune545.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 12.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (sin k) 2)
3.5b
(* (pow (/ (* (cbrt 1) (cbrt 1)) (pow k (/ 2.0 2))) 1.0) (* (pow (/ (cbrt 1) (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2))))
4.3b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
12.6b
(* (pow (/ (cbrt 1) (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

rewrite772.0ms

Algorithm
rewrite-expression-head
Rules
9350×add-exp-log
6079×prod-exp
4658×pow-exp
3892×div-exp
2338×pow-to-exp
37×unpow-prod-down
32×add-cbrt-cube
29×times-frac associate-*l*
26×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
13×associate-*r* cbrt-unprod
8×associate-/r* sqr-pow
6×cbrt-undiv
5×pow1
4×div-inv unpow2 add-log-exp
3×cbrt-prod pow-unpow associate-*r/ unswap-sqr
2×*-commutative
1×pow-pow frac-2neg clear-num associate-/l*
Counts
4 → 1828
Calls
4 calls:
4.0ms
(pow (sin k) 2)
136.0ms
(* (pow (/ (* (cbrt 1) (cbrt 1)) (pow k (/ 2.0 2))) 1.0) (* (pow (/ (cbrt 1) (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2))))
17.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
82.0ms
(* (pow (/ (cbrt 1) (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

series1.4s

Counts
4 → 12
Calls
4 calls:
20.0ms
(pow (sin k) 2)
665.0ms
(* (pow (/ (* (cbrt 1) (cbrt 1)) (pow k (/ 2.0 2))) 1.0) (* (pow (/ (cbrt 1) (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2))))
90.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
662.0ms
(* (pow (/ (cbrt 1) (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

simplify434.0ms

Algorithm
egg-herbie
Counts
1840 → 1840
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
0185439724
1487439401
2500139401

prune647.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 11.4b

regimes297.0ms

Accuracy

0% (3.6b remaining)

Error of 15.7b against oracle of 12.1b and baseline of 15.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03628
13628

end0.0ms

sample14.1s

Algorithm
intervals
Results
4.1s2224×body2560valid
3.9s921×body5120valid
3.4s4121×body1280valid
1.3s2573×body640valid
371.0ms1027×body320valid
228.0ms1998×body80valid
123.0ms496×body160valid