Details

Time bar (total: 18.2s)

sample107.0ms

Algorithm
intervals
Results
39.0ms256×body80valid
35.0ms283×body80nan

simplify56.0ms

Counts
1 → 1
Iterations
IterNodes
done30
530
429
327
223
121
014

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite9.0ms

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))
5.0ms
(/ (acos (/ (- g) h)) 3.0)
2.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series177.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
12.0ms
(/ (acos (/ (- g) h)) 3.0)
131.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify2.4s

Counts
60 → 60
Iterations
IterNodes
done5007
42502
3825
2304
1158
0103

prune469.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
80×add-sqr-sqrt
66×sqrt-prod
60×times-frac
52×*-un-lft-identity add-cube-cbrt
19×pow1
18×swap-sqr
16×associate-*r* associate-*l*
10×add-cbrt-cube add-exp-log
9×unswap-sqr
8×sqrt-pow1 pow1/2
6×associate-/r* div-inv associate-/l*
5×pow-prod-up
4×expm1-log1p-u sqrt-div div-sub log1p-expm1-u add-log-exp
3×pow-prod-down pow-sqr
2×acos-asin cbrt-undiv acos-neg clear-num frac-2neg div-exp distribute-frac-neg
1×pow2 frac-times cos-sum rem-square-sqrt pow-plus sqrt-unprod associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod fma-udef
Counts
4 → 161
Calls
4 calls:
9.0ms
(/ (acos (/ (- g) h)) 3.0)
9.0ms
(/ (acos (/ (- g) h)) 3.0)
54.0ms
(* (sqrt (/ (acos (/ (- g) h)) 3.0)) (sqrt (/ (acos (/ (- g) h)) 3.0)))
4.0ms
(cos (fma (/ 2.0 3.0) PI (* (sqrt (/ (acos (/ (- g) h)) 3.0)) (sqrt (/ (acos (/ (- g) h)) 3.0)))))

series390.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (acos (/ (- g) h)) 3.0)
15.0ms
(/ (acos (/ (- g) h)) 3.0)
56.0ms
(* (sqrt (/ (acos (/ (- g) h)) 3.0)) (sqrt (/ (acos (/ (- g) h)) 3.0)))
300.0ms
(cos (fma (/ 2.0 3.0) PI (* (sqrt (/ (acos (/ (- g) h)) 3.0)) (sqrt (/ (acos (/ (- g) h)) 3.0)))))

simplify2.3s

Counts
173 → 173
Iterations
IterNodes
done5004
32169
2755
1333
0199

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
6×add-cbrt-cube add-exp-log
5×pow1
4×expm1-log1p-u log-pow log1p-expm1-u add-log-exp
3×log-prod exp-prod associate-/r* fma-udef associate-/l*
2×cos-sum div-sub
1×acos-asin cbrt-undiv acos-neg log-div clear-num frac-2neg exp-diff div-exp rem-log-exp distribute-frac-neg div-inv
Counts
4 → 69
Calls
4 calls:
0.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
7.0ms
(log (exp (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
9.0ms
(/ (acos (/ (- g) h)) 3.0)
4.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series386.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
170.0ms
(log (exp (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
18.0ms
(/ (acos (/ (- g) h)) 3.0)
142.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify2.6s

Counts
81 → 81
Iterations
IterNodes
done5002
42348
3830
2354
1195
0130

prune651.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×cos-sum associate-/r* fma-udef associate-/l*
2×div-sub
1×acos-asin cbrt-undiv acos-neg clear-num frac-2neg div-exp distribute-frac-neg div-inv
Counts
4 → 61
Calls
4 calls:
9.0ms
(/ (acos (/ (- g) h)) 3.0)
4.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
4.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
4.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series474.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(/ (acos (/ (- g) h)) 3.0)
181.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
145.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
132.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify2.2s

Counts
73 → 73
Iterations
IterNodes
done5003
41906
3680
2279
1148
094

prune745.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes518.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify20.0ms

Iterations
IterNodes
done30
130
024

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.6s8000×body80valid
1.0s8158×body80nan