Details

Time bar (total: 29.6s)

sample107.0ms

Algorithm
intervals
Results
37.0ms284×body80nan
36.0ms256×body80valid

simplify80.0ms

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize43.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
0.9b
(/ (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
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×div-sub fma-udef
1×cbrt-undiv acos-neg acos-asin cos-sum frac-2neg distribute-frac-neg div-exp clear-num div-inv
Counts
3 → 51
Calls
3 calls:
1.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
15.0ms
(/ (acos (/ (- g) h)) 3.0)
5.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series303.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
22.0ms
(/ (acos (/ (- g) h)) 3.0)
213.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify4.2s

Counts
60 → 60
Iterations
IterNodes
done5001
42688
3813
2303
1158
0103

prune642.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.9b

localize64.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
156×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
144×sqrt-prod
25×associate-/l*
12×associate-/r*
11×add-exp-log add-cbrt-cube
9×div-inv
6×div-sub
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×acos-neg acos-asin frac-2neg distribute-frac-neg clear-num fma-udef
1×cos-sum associate-/l/
Counts
4 → 242
Calls
4 calls:
43.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))
17.0ms
(/ (acos (/ (- g) h)) (sqrt 3.0))
1.0ms
(fma (/ 2.0 3.0) PI (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
6.0ms
(cos (fma (/ 2.0 3.0) PI (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))

series777.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))
77.0ms
(/ (acos (/ (- g) h)) (sqrt 3.0))
192.0ms
(fma (/ 2.0 3.0) PI (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
375.0ms
(cos (fma (/ 2.0 3.0) PI (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))

simplify5.3s

Counts
254 → 254
Iterations
IterNodes
done5001
34256
21234
1615
0301

prune2.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.9b

localize64.0ms

Local error

Found 4 expressions with local error:

0.9b
(expm1 (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0))))
0.9b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))
1.0b
(log1p (expm1 (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
5×log1p-expm1-u
4×pow1 expm1-log1p-u add-log-exp
3×associate-/r* associate-/l*
2×div-sub
1×cbrt-undiv acos-neg acos-asin cos-sum log1p-udef expm1-log1p frac-2neg log1p-expm1 distribute-frac-neg div-exp clear-num fma-udef div-inv expm1-udef
Counts
4 → 63
Calls
4 calls:
1.0ms
(expm1 (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0))))
12.0ms
(/ (acos (/ (- g) h)) 3.0)
5.0ms
(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))
1.0ms
(log1p (expm1 (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))))

series794.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(expm1 (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0))))
27.0ms
(/ (acos (/ (- g) h)) 3.0)
182.0ms
(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))
317.0ms
(log1p (expm1 (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))))

simplify5.3s

Counts
75 → 75
Iterations
IterNodes
done5103
54421
41847
3726
2318
1180
0115

prune765.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.9b

localize94.0ms

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))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
26×associate-*l*
20×add-cube-cbrt *-un-lft-identity times-frac
14×add-exp-log add-cbrt-cube
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:
31.0ms
(* (/ 2.0 3.0) PI)
40.0ms
(* (/ 2.0 3.0) PI)
15.0ms
(sin (* (/ 2.0 3.0) PI))
16.0ms
(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))

simplify3.5s

Counts
90 → 90
Iterations
IterNodes
done5000
31898
2528
1192
098

prune993.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes474.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done30
130
022

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.8s8000×body80valid
1.4s8003×body80nan