Details

Time bar (total: 16.6s)

sample120.0ms

Algorithm
intervals
Results
59.0ms256×body80valid
27.0ms229×body80nan

simplify55.0ms

Counts
1 → 1
Iterations
IterNodes
done33
533
432
329
225
121
014

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
1.0b
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
1.0b
(/ (acos (/ (- g) h)) 3.0)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
5×add-cbrt-cube add-exp-log
3×expm1-log1p-u pow1 associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×div-sub fma-udef
1×acos-asin cbrt-undiv acos-neg cos-sum clear-num frac-2neg div-exp distribute-frac-neg div-inv
Counts
3 → 51
Calls
3 calls:
0.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
2.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
5.0ms
(/ (acos (/ (- g) h)) 3.0)

series221.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
139.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
25.0ms
(/ (acos (/ (- g) h)) 3.0)

simplify1.4s

Counts
60 → 60
Iterations
IterNodes
done5000
31627
2374
1158
0103

prune507.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize64.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))
1.0b
(cos (fma (/ 2.0 3.0) PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))
1.0b
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))
1.0b
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
330×add-sqr-sqrt
324×sqrt-prod
312×times-frac
176×*-un-lft-identity add-cube-cbrt
68×swap-sqr
40×associate-*r* associate-*l*
25×unswap-sqr
20×add-cbrt-cube add-exp-log
12×associate-/r* associate-/l*
11×pow1
6×cbrt-undiv sqrt-undiv div-exp div-inv
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×pow2 frac-times cos-sum rem-square-sqrt pow-plus sqrt-unprod pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up fma-udef
Counts
4 → 337
Calls
4 calls:
108.0ms
(* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))
4.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))
12.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))
12.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))

series976.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))
321.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))
435.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))
97.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))

simplify1.3s

Counts
349 → 349
Iterations
IterNodes
done5000
1765
0240

prune1.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize75.0ms

Local error

Found 4 expressions with local error:

1.0b
(cos (fma (/ 2.0 3.0) PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))
1.0b
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))
1.0b
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))
1.0b
(log1p (expm1 (cos (fma (/ 2.0 3.0) PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
84×sqrt-prod
72×times-frac
60×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×associate-/r* associate-/l*
8×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
2×cbrt-undiv sqrt-undiv clear-num frac-2neg div-exp div-inv
1×cos-sum log1p-udef log1p-expm1 fma-udef
Counts
4 → 147
Calls
4 calls:
4.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))
13.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))
12.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))
0.0ms
(log1p (expm1 (cos (fma (/ 2.0 3.0) PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))))

series878.0ms

Counts
4 → 12
Calls
4 calls:
301.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))
65.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))
87.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))
424.0ms
(log1p (expm1 (cos (fma (/ 2.0 3.0) PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))))

simplify2.3s

Counts
159 → 159
Iterations
IterNodes
done5000
33067
2554
1212
0138

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.0b

localize109.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 2.0 3.0) PI)
1.0b
(* (/ 2.0 3.0) PI)
1.0b
(sin (* (/ 2.0 3.0) PI))
1.6b
(cos (* (/ 2.0 3.0) PI))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
26×associate-*l*
20×*-un-lft-identity times-frac add-cube-cbrt
14×add-cbrt-cube add-exp-log
8×pow1
6×associate-*r*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 86
Calls
4 calls:
20.0ms
(* (/ 2.0 3.0) PI)
21.0ms
(* (/ 2.0 3.0) PI)
10.0ms
(sin (* (/ 2.0 3.0) PI))
11.0ms
(cos (* (/ 2.0 3.0) PI))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(* (/ 2.0 3.0) PI)
0.0ms
(* (/ 2.0 3.0) PI)
0.0ms
(sin (* (/ 2.0 3.0) PI))
0.0ms
(cos (* (/ 2.0 3.0) PI))

simplify1.3s

Counts
90 → 90
Iterations
IterNodes
done5000
2791
1198
0100

prune845.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes271.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
done30
130
024

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.5s7859×body80nan
1.0s8000×body80valid