Details

Time bar (total: 49.1s)

sample212.0ms

Algorithm
intervals
Results
98.0ms80×body1280valid
42.0ms253×body80valid
33.0ms62×body640valid
14.0ms38×body320valid
7.0ms22×body160valid

simplify158.0ms

Counts
1 → 1

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ (cos th) (sqrt 2))
0.7b
(/ (cos th) (sqrt 2))
0.3b
(* (/ (cos th) (sqrt 2)) (* a2 a2))
0.2b
(* (/ (cos th) (sqrt 2)) (* a1 a1))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
70×add-sqr-sqrt
60×*-un-lft-identity add-cube-cbrt
44×associate-*l* sqrt-prod
32×add-cbrt-cube add-exp-log
14×pow1
12×associate-/r* prod-exp cbrt-unprod
6×cbrt-undiv div-exp pow-prod-down associate-/l* unswap-sqr
4×insert-posit16 div-inv add-log-exp
2×clear-num frac-2neg associate-*r* associate-*l/ *-commutative
Counts
4 → 172
Calls
4 calls:
Slowest
24.0ms
(* (/ (cos th) (sqrt 2)) (* a2 a2))
24.0ms
(* (/ (cos th) (sqrt 2)) (* a1 a1))
9.0ms
(/ (cos th) (sqrt 2))
8.0ms
(/ (cos th) (sqrt 2))

series400.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
130.0ms
(* (/ (cos th) (sqrt 2)) (* a1 a1))
124.0ms
(* (/ (cos th) (sqrt 2)) (* a2 a2))
78.0ms
(/ (cos th) (sqrt 2))
68.0ms
(/ (cos th) (sqrt 2))

simplify774.0ms

Counts
184 → 184

prune2.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ (cos th) (sqrt 2))
0.7b
(/ (cos th) (sqrt (sqrt 2)))
0.6b
(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
0.3b
(* (/ (cos th) (sqrt 2)) (* a2 a2))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
616×sqrt-prod
614×times-frac
345×add-sqr-sqrt
340×*-un-lft-identity add-cube-cbrt
37×associate-/l*
25×add-cbrt-cube add-exp-log
24×associate-/r*
22×associate-*l*
14×div-inv
9×pow1
7×cbrt-undiv div-exp
6×prod-exp cbrt-unprod
4×insert-posit16 add-log-exp
3×clear-num frac-2neg pow-prod-down unswap-sqr
1×associate-*r* associate-*l/ *-commutative associate-/l/
Counts
4 → 473
Calls
4 calls:
Slowest
25.0ms
(* (/ (cos th) (sqrt 2)) (* a2 a2))
15.0ms
(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
9.0ms
(/ (cos th) (sqrt (sqrt 2)))
9.0ms
(/ (cos th) (sqrt 2))

series469.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
155.0ms
(/ (cos th) (sqrt (sqrt 2)))
131.0ms
(* (/ (cos th) (sqrt 2)) (* a2 a2))
107.0ms
(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
74.0ms
(/ (cos th) (sqrt 2))

simplify1.7s

Counts
485 → 485

prune7.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
1.0b
(/ 1 (sqrt (sqrt 2)))
0.7b
(/ (cos th) (sqrt 2))
0.3b
(* (/ (cos th) (sqrt 2)) (* a2 a2))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
793×sqrt-prod
788×times-frac
434×add-sqr-sqrt
429×*-un-lft-identity add-cube-cbrt
192×cbrt-prod
37×associate-/l*
31×add-exp-log
27×associate-/r*
25×add-cbrt-cube
22×associate-*l*
17×div-inv
13×pow1
11×div-exp
7×cbrt-undiv sqrt-pow1 pow-flip
6×prod-exp cbrt-unprod
4×insert-posit16 add-log-exp
3×clear-num frac-2neg pow1/2 pow-prod-down unswap-sqr
2×rec-exp pow1/3 1-exp pow-div
1×associate-*r* associate-*l/ *-commutative inv-pow associate-/l/
Counts
4 → 581
Calls
4 calls:
Slowest
47.0ms
(* (/ (cos th) (sqrt 2)) (* a2 a2))
22.0ms
(/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
17.0ms
(/ (cos th) (sqrt 2))
11.0ms
(/ 1 (sqrt (sqrt 2)))

series232.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
141.0ms
(* (/ (cos th) (sqrt 2)) (* a2 a2))
91.0ms
(/ (cos th) (sqrt 2))
0.0ms
(/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
0.0ms
(/ 1 (sqrt (sqrt 2)))

simplify1.3s

Counts
589 → 589

prune11.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
1.0b
(/ 1 (sqrt (sqrt 2)))
0.6b
(/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
0.3b
(* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* a2 a2))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
852×times-frac
794×sqrt-prod
456×add-sqr-sqrt
443×*-un-lft-identity add-cube-cbrt
238×cbrt-prod
67×associate-*l*
54×add-exp-log
37×associate-/l*
36×add-cbrt-cube
26×div-inv
22×associate-/r*
20×div-exp
16×cbrt-undiv
15×prod-exp cbrt-unprod
13×pow1
7×sqrt-pow1 pow-flip unswap-sqr
4×insert-posit16 add-log-exp
3×clear-num frac-2neg pow1/2 pow-prod-down
2×rec-exp pow1/3 1-exp pow-div
1×associate-*r* associate-*l/ *-commutative inv-pow associate-/l/
Counts
4 → 620
Calls
4 calls:
Slowest
64.0ms
(* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* a2 a2))
22.0ms
(/ 1 (sqrt (sqrt 2)))
12.0ms
(/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
12.0ms
(/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))

series627.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
473.0ms
(/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
153.0ms
(* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* a2 a2))
0.0ms
(/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
0.0ms
(/ 1 (sqrt (sqrt 2)))

simplify1.6s

Counts
628 → 628

prune11.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes454.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch8.0ms

end0.0ms

sample8.2s

Algorithm
intervals
Results
2.8s2562×body1280valid
2.4s2081×body640valid
1.9s8073×body80valid
525.0ms1058×body320valid
205.0ms530×body160valid