Details

Time bar (total: 19.5s)

sample100.0ms

Algorithm
intervals
Results
35.0ms256×body80valid
27.0ms228×body80nan

simplify39.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize45.0ms

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)))

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* 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:
1.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
10.0ms
(/ (acos (/ (- g) h)) 3.0)
4.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series656.0ms

Counts
3 → 9
Calls
3 calls:
455.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
12.0ms
(/ (acos (/ (- g) h)) 3.0)
188.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify1.2s

Counts
60 → 60
Iterations
IterNodes
done5001
31451
2370
1158
0103

prune407.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
1.0b
(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
1.0b
(cos (fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
1.0b
(/ 1 (sqrt 3.0))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
91×add-sqr-sqrt
76×times-frac
51×*-un-lft-identity
45×add-cube-cbrt
41×sqrt-prod
30×add-exp-log
22×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×div-exp
8×pow1 prod-exp
6×associate-/r*
5×cbrt-undiv
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×rec-exp 1-exp div-inv pow-flip associate-/l*
2×fma-udef
1×frac-times cos-sum clear-num frac-2neg sqrt-pow1 pow1/2 pow-prod-down associate-*l/ associate-*r/ *-commutative inv-pow
Counts
4 → 152
Calls
4 calls:
0.0ms
(fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
62.0ms
(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
4.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
11.0ms
(/ 1 (sqrt 3.0))

series607.0ms

Counts
4 → 10
Calls
4 calls:
146.0ms
(fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
118.0ms
(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
342.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
0.0ms
(/ 1 (sqrt 3.0))

simplify2.7s

Counts
162 → 162
Iterations
IterNodes
done5000
23451
1524
0200

prune949.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize60.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ 1 (sqrt 3.0)))) (/ (acos (/ (- g) h)) (sqrt 3.0)))
1.0b
(cos (fma (/ 2.0 3.0) PI (* (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ 1 (sqrt 3.0)))) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
1.0b
(/ 1 (sqrt 3.0))
1.0b
(/ 1 (sqrt 3.0))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
56×times-frac
52×add-sqr-sqrt
47×*-un-lft-identity add-cube-cbrt
34×sqrt-prod
24×add-exp-log
22×associate-*r*
20×add-cbrt-cube
13×pow1
12×associate-/r*
8×sqrt-div
6×div-exp prod-exp cbrt-unprod pow-flip associate-/l*
5×frac-times associate-*l/
4×expm1-log1p-u cbrt-undiv log1p-expm1-u add-log-exp
3×pow-prod-down associate-*r/ div-inv unswap-sqr
2×rec-exp clear-num frac-2neg sqrt-pow1 pow1/2 1-exp inv-pow
1×cos-sum associate-*l* *-commutative fma-udef
Counts
4 → 157
Calls
4 calls:
162.0ms
(* (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ 1 (sqrt 3.0)))) (/ (acos (/ (- g) h)) (sqrt 3.0)))
2.0ms
(cos (fma (/ 2.0 3.0) PI (* (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ 1 (sqrt 3.0)))) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
6.0ms
(/ 1 (sqrt 3.0))
6.0ms
(/ 1 (sqrt 3.0))

series485.0ms

Counts
4 → 8
Calls
4 calls:
126.0ms
(* (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ 1 (sqrt 3.0)))) (/ (acos (/ (- g) h)) (sqrt 3.0)))
358.0ms
(cos (fma (/ 2.0 3.0) PI (* (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ 1 (sqrt 3.0)))) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
0.0ms
(/ 1 (sqrt 3.0))
0.0ms
(/ 1 (sqrt 3.0))

simplify2.3s

Counts
165 → 165
Iterations
IterNodes
done5002
22949
1454
0189

prune992.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize131.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 1 (sqrt 3.0))
1.0b
(/ 1 (sqrt 3.0))
1.0b
(sin (* (/ 2.0 3.0) PI))
1.6b
(cos (* (/ 2.0 3.0) PI))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
34×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
24×sqrt-prod
12×associate-/r* add-exp-log
8×pow1 add-cbrt-cube
6×pow-flip associate-/l*
4×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×cbrt-undiv rec-exp clear-num frac-2neg sqrt-pow1 pow1/2 1-exp div-inv inv-pow
Counts
4 → 112
Calls
4 calls:
6.0ms
(/ 1 (sqrt 3.0))
10.0ms
(/ 1 (sqrt 3.0))
18.0ms
(sin (* (/ 2.0 3.0) PI))
11.0ms
(cos (* (/ 2.0 3.0) PI))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/ 1 (sqrt 3.0))
0.0ms
(/ 1 (sqrt 3.0))
0.0ms
(sin (* (/ 2.0 3.0) PI))
0.0ms
(cos (* (/ 2.0 3.0) PI))

simplify4.2s

Counts
116 → 116
Iterations
IterNodes
done5000
32981
2490
1162
0104

prune802.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes274.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done38
138
028

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.5s8000×body80valid
1.1s8067×body80nan