Details

Time bar (total: 55.8s)

sample673.0ms

Algorithm
intervals
Results
205.0ms128×body1280valid
177.0ms70×body2560valid
124.0ms28×body5120valid
103.0ms88×body640valid
16.0ms29×body320valid
11.0ms66×body80valid
6.0ms15×body160valid

simplify448.0ms

Counts
1 → 1

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 38.3b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (/ k t) 2.0)
0.6b
(* (pow t 3.0) (tan k))
17.2b
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
27.9b
(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

rewrite301.0ms

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:
13.0ms
(pow (/ k t) 2.0)
32.0ms
(* (pow t 3.0) (tan k))
151.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
71.0ms
(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

series1.3s

Counts
4 → 12
Calls
4 calls:
106.0ms
(pow (/ k t) 2.0)
277.0ms
(* (pow t 3.0) (tan k))
550.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
384.0ms
(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

simplify1.9s

Counts
191 → 191

prune624.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 18.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (* (pow k 2.0) (pow t 1.0)))
4.0b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
6.9b
(* (pow k 2.0) (pow t 1.0))
13.0b
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

rewrite250.0ms

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:
23.0ms
(/ 1 (* (pow k 2.0) (pow t 1.0)))
19.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
24.0ms
(* (pow k 2.0) (pow t 1.0))
120.0ms
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

series2.3s

Counts
4 → 12
Calls
4 calls:
461.0ms
(/ 1 (* (pow k 2.0) (pow t 1.0)))
98.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
444.0ms
(* (pow k 2.0) (pow t 1.0))
1.3s
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

simplify1.7s

Counts
612 → 612

prune932.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 14.3b

localize49.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (sin k) 2)
0.7b
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
4.0b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
13.0b
(* (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)))

rewrite622.0ms

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)
71.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
19.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
206.0ms
(* (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)))

series1.5s

Counts
4 → 12
Calls
4 calls:
20.0ms
(pow (sin k) 2)
444.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
105.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
913.0ms
(* (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)))

simplify2.6s

Counts
1472 → 1472

prune898.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 11.4b

localize36.0ms

Local error

Found 4 expressions with local error:

1.5b
(/ (cbrt 1) (* (pow k (/ 2.0 2)) (pow t 1.0)))
4.0b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
4.4b
(* (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))))
8.7b
(* (pow (/ (cbrt 1) (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

rewrite911.0ms

Algorithm
rewrite-expression-head
Rules
9372×add-exp-log
6088×prod-exp
4663×pow-exp
3902×div-exp
2343×pow-to-exp
35×times-frac add-cbrt-cube
34×unpow-prod-down
29×associate-*l*
28×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
14×cbrt-unprod
13×associate-*r*
9×cbrt-prod associate-/r*
8×cbrt-undiv
7×associate-/l* sqr-pow
5×div-inv
4×pow1 add-log-exp
3×associate-*r/ unpow2 unswap-sqr
2×frac-2neg clear-num *-commutative
Counts
4 → 1845
Calls
4 calls:
24.0ms
(/ (cbrt 1) (* (pow k (/ 2.0 2)) (pow t 1.0)))
34.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
217.0ms
(* (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))))
162.0ms
(* (pow (/ (cbrt 1) (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

series2.5s

Counts
4 → 12
Calls
4 calls:
495.0ms
(/ (cbrt 1) (* (pow k (/ 2.0 2)) (pow t 1.0)))
122.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
974.0ms
(* (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))))
957.0ms
(* (pow (/ (cbrt 1) (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

simplify2.2s

Counts
1857 → 1857

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 10.9b

regimes478.0ms

Accuracy

21.3% (3.9b remaining)

Error of 16.5b against oracle of 12.7b and baseline of 17.6b

bsearch359.0ms

Steps
ItersRangePoint
7
2.274218576694053e-169
7.147614558669285e-168
7.065317705455377e-168

simplify830.0ms

end0.0ms

sample31.1s

Algorithm
intervals
Results
9.0s4177×body1280valid
8.4s2214×body2560valid
7.0s928×body5120valid
3.9s2471×body640valid
877.0ms981×body320valid
690.0ms2051×body80valid
311.0ms432×body160valid