Details

Time bar (total: 19.1s)

sample63.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
21.0ms260×body80nan

simplify48.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
0.9b
(/ (acos (/ (- g) h)) 3)
1.0b
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

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* 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))
5.0ms
(/ (acos (/ (- g) h)) 3)
2.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series164.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
14.0ms
(/ (acos (/ (- g) h)) 3)
118.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify2.4s

Counts
63 → 63
Iterations
IterNodes
done5000
42095
3712
2301
1160
0103

prune416.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (acos (/ (- g) h)) (sqrt 3))
1.0b
(* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))
1.0b
(cos (fma 2/3 PI (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))))
1.0b
(/ 1 (sqrt 3))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
106×add-sqr-sqrt
94×times-frac
66×*-un-lft-identity
60×add-cube-cbrt
53×sqrt-prod
32×add-exp-log
22×associate-*r* associate-*l*
20×add-cbrt-cube
15×unswap-sqr
12×associate-/r*
11×div-exp
8×pow1 prod-exp
6×cbrt-undiv associate-/l*
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
3×rec-exp 1-exp pow-flip
2×clear-num frac-2neg div-sub
1×acos-asin frac-times acos-neg cos-sum sqrt-pow1 pow1/2 pow-prod-down associate-*l/ associate-*r/ distribute-frac-neg *-commutative fma-udef inv-pow
Counts
4 → 189
Calls
4 calls:
11.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
18.0ms
(* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))
2.0ms
(cos (fma 2/3 PI (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))))
9.0ms
(/ 1 (sqrt 3))

series532.0ms

Counts
4 → 10
Calls
4 calls:
57.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
137.0ms
(* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))
338.0ms
(cos (fma 2/3 PI (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))))
0.0ms
(/ 1 (sqrt 3))

simplify3.2s

Counts
199 → 199
Iterations
IterNodes
done5001
33843
21243
1526
0221

prune864.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize56.0ms

Local error

Found 4 expressions with local error:

1.0b
(expm1 (cos (fma 2/3 PI (* 1/3 (acos (/ (- g) h))))))
1.0b
(* 1/3 (acos (/ (- g) h)))
1.0b
(cos (fma 2/3 PI (* 1/3 (acos (/ (- g) h)))))
1.0b
(log1p (expm1 (cos (fma 2/3 PI (* 1/3 (acos (/ (- g) h)))))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
5×log1p-expm1-u
4×expm1-log1p-u insert-posit16 add-log-exp
3×associate-*r* associate-*l*
1×cos-sum log1p-udef expm1-log1p pow-prod-down prod-exp log1p-expm1 *-commutative cbrt-unprod fma-udef expm1-udef unswap-sqr
Counts
4 → 56
Calls
4 calls:
1.0ms
(expm1 (cos (fma 2/3 PI (* 1/3 (acos (/ (- g) h))))))
10.0ms
(* 1/3 (acos (/ (- g) h)))
5.0ms
(cos (fma 2/3 PI (* 1/3 (acos (/ (- g) h)))))
1.0ms
(log1p (expm1 (cos (fma 2/3 PI (* 1/3 (acos (/ (- g) h)))))))

series642.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(expm1 (cos (fma 2/3 PI (* 1/3 (acos (/ (- g) h))))))
12.0ms
(* 1/3 (acos (/ (- g) h)))
168.0ms
(cos (fma 2/3 PI (* 1/3 (acos (/ (- g) h)))))
243.0ms
(log1p (expm1 (cos (fma 2/3 PI (* 1/3 (acos (/ (- g) h)))))))

simplify3.7s

Counts
68 → 68
Iterations
IterNodes
done5002
53337
41516
3677
2277
1150
088

prune387.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.9b

localize65.0ms

Local error

Found 4 expressions with local error:

1.0b
(* 2/3 PI)
1.0b
(/ 1 (sqrt 3))
1.0b
(/ 1 (sqrt 3))
1.6b
(cos (* 2/3 PI))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
36×*-un-lft-identity times-frac add-cube-cbrt
24×sqrt-prod
14×add-exp-log
12×associate-/r*
10×pow1 add-cbrt-cube
6×pow-flip associate-/l*
4×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×cbrt-undiv rec-exp clear-num frac-2neg sqrt-pow1 pow1/2 1-exp div-inv inv-pow
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 127
Calls
4 calls:
11.0ms
(* 2/3 PI)
17.0ms
(/ 1 (sqrt 3))
10.0ms
(/ 1 (sqrt 3))
14.0ms
(cos (* 2/3 PI))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(* 2/3 PI)
0.0ms
(/ 1 (sqrt 3))
0.0ms
(/ 1 (sqrt 3))
0.0ms
(cos (* 2/3 PI))

simplify2.3s

Counts
131 → 131
Iterations
IterNodes
done5002
62611
51337
4930
3649
2377
1204
0124

prune802.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done36
136
026

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.6s8000×body80valid
1.1s7843×body80nan