Details

Time bar (total: 14.9s)

sample103.0ms

Algorithm
intervals
Results
45.0ms267×body80nan
38.0ms256×body80valid

simplify40.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b
(acos (/ (- g) h))
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)))

rewrite19.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* associate-/l*
2×acos-asin acos-neg div-sub distribute-frac-neg fma-udef
1×cbrt-undiv cos-sum clear-num frac-2neg div-exp div-inv
Counts
4 → 66
Calls
4 calls:
1.0ms
(acos (/ (- g) h))
0.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
11.0ms
(/ (acos (/ (- g) h)) 3)
5.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series204.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(acos (/ (- g) h))
37.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
12.0ms
(/ (acos (/ (- g) h)) 3)
152.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify1.0s

Counts
78 → 78
Iterations
IterNodes
done2018
42018
3764
2304
1163
0107

prune896.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
4×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 fma-udef
1×cos-sum
Counts
4 → 54
Calls
4 calls:
0.0ms
(fma 2/3 PI (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) 3)))
1.0ms
(sqrt (acos (/ (- g) h)))
1.0ms
(sqrt (acos (/ (- g) h)))
3.0ms
(cos (fma 2/3 PI (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) 3))))

series217.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(fma 2/3 PI (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) 3)))
14.0ms
(sqrt (acos (/ (- g) h)))
14.0ms
(sqrt (acos (/ (- g) h)))
133.0ms
(cos (fma 2/3 PI (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) 3))))

simplify1.1s

Counts
66 → 66
Iterations
IterNodes
done2007
52007
4754
3247
2124
187
067

prune825.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.9b
(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)))

rewrite17.0ms

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:
1.0ms
(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
10.0ms
(/ (acos (/ (- g) h)) 3)
0.0ms
(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
5.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series564.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
19.0ms
(/ (acos (/ (- g) h)) 3)
189.0ms
(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
152.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify1.3s

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

prune910.0ms

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×cbrt-prod
12×*-un-lft-identity add-cube-cbrt
11×pow1
6×pow1/3 swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×cos-sum fma-udef
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 76
Calls
4 calls:
21.0ms
(* (cbrt (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))) (cbrt (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
5.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
5.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
5.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series727.0ms

Counts
4 → 12
Calls
4 calls:
302.0ms
(* (cbrt (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))) (cbrt (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
117.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
167.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
142.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify1.5s

Counts
88 → 88
Iterations
IterNodes
done2005
52005
41494
3562
2284
1138
077

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes231.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done21
121
017

end0.0ms

sample3.9s

Algorithm
intervals
Results
2.0s8000×body80valid
1.5s8167×body80nan