Details

Time bar (total: 16.4s)

sample159.0ms

Algorithm
intervals
Results
70.0ms288×body80nan
63.0ms256×body80valid

simplify31.0ms

Counts
1 → 1
Iterations
IterNodes
done29
429
328
224
121
014

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
1.0b
(/ (acos (/ (- g) h)) 3)
1.0b
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

rewrite16.0ms

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* insert-posit16 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 → 54
Calls
3 calls:
0.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
9.0ms
(/ (acos (/ (- g) h)) 3)
5.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series189.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
14.0ms
(/ (acos (/ (- g) h)) 3)
120.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify1.2s

Counts
63 → 63
Iterations
IterNodes
done2000
42000
3712
2301
1160
0103

prune382.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
0.0b
(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
0.0b
(/ (acos (/ (- g) h)) (sqrt 3))
1.0b
(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
156×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
144×sqrt-prod
25×associate-/l*
12×associate-/r*
11×add-cbrt-cube add-exp-log
9×div-inv
6×div-sub
4×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
2×acos-asin acos-neg clear-num frac-2neg distribute-frac-neg fma-udef
1×cos-sum associate-/l/
Counts
4 → 246
Calls
4 calls:
0.0ms
(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
11.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
6.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
2.0ms
(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))

series695.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
93.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
59.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
401.0ms
(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))

simplify1.3s

Counts
258 → 258
Iterations
IterNodes
done2003
32003
21244
1606
0302

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize51.0ms

Local error

Found 4 expressions with local error:

1.0b
(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
1.0b
(/ (acos (/ (- g) h)) 3)
1.0b
(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
1.0b
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
6×add-cbrt-cube add-exp-log
5×log1p-expm1-u
4×expm1-log1p-u pow1 insert-posit16 add-log-exp
3×associate-/r* associate-/l*
2×div-sub
1×acos-asin cbrt-undiv acos-neg cos-sum log1p-udef expm1-log1p clear-num frac-2neg div-exp log1p-expm1 distribute-frac-neg fma-udef div-inv expm1-udef
Counts
4 → 67
Calls
4 calls:
0.0ms
(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
5.0ms
(/ (acos (/ (- g) h)) 3)
0.0ms
(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
2.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series595.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
20.0ms
(/ (acos (/ (- g) h)) 3)
248.0ms
(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
140.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify1.3s

Counts
79 → 79
Iterations
IterNodes
done2005
52005
41501
3661
2320
1183
0116

prune475.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize60.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (sqrt (acos (/ (- g) h))) (sqrt 3))
1.0b
(log1p (expm1 (cos (fma 2/3 PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3)))))))
1.0b
(* (/ (sqrt (acos (/ (- g) h))) (sqrt 3)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3)))
1.0b
(cos (fma 2/3 PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3)))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
302×add-sqr-sqrt
282×sqrt-prod
276×times-frac
148×*-un-lft-identity add-cube-cbrt
68×swap-sqr
40×associate-*r* associate-*l*
25×unswap-sqr
18×add-cbrt-cube add-exp-log
11×pow1
6×associate-/r* associate-/l*
5×cbrt-undiv sqrt-undiv div-exp div-inv
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×pow2 frac-times cos-sum log1p-udef clear-num rem-square-sqrt frac-2neg pow-plus sqrt-unprod pow-prod-down associate-*l/ log1p-expm1 associate-*r/ pow-sqr *-commutative pow-prod-up fma-udef
Counts
4 → 289
Calls
4 calls:
10.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3))
0.0ms
(log1p (expm1 (cos (fma 2/3 PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3)))))))
40.0ms
(* (/ (sqrt (acos (/ (- g) h))) (sqrt 3)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3)))
5.0ms
(cos (fma 2/3 PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3)))))

series932.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3))
441.0ms
(log1p (expm1 (cos (fma 2/3 PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3)))))))
110.0ms
(* (/ (sqrt (acos (/ (- g) h))) (sqrt 3)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3)))
300.0ms
(cos (fma 2/3 PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3)))))

simplify1.5s

Counts
301 → 301
Iterations
IterNodes
done2003
32003
21893
1753
0252

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.0b

regimes176.0ms

Accuracy

0% (0.0b remaining)

Error of 1.0b against oracle of 1.0b and baseline of 1.0b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done25
125
019

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.2s8000×body80valid
1.9s8129×body80nan