Details

Time bar (total: 21.4s)

sample124.0ms

Algorithm
intervals
Results
58.0ms256×body80valid
46.0ms227×body80nan

simplify51.0ms

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

localize36.0ms

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)))

rewrite15.0ms

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))
10.0ms
(/ (acos (/ (- g) h)) 3)
3.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series214.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
19.0ms
(/ (acos (/ (- g) h)) 3)
148.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify2.7s

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

prune386.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.9b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

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))) (/ 3 (sqrt (acos (/ (- g) h))))))
6.0ms
(sqrt (acos (/ (- g) h)))
1.0ms
(sqrt (acos (/ (- g) h)))
3.0ms
(cos (fma 2/3 PI (/ (sqrt (acos (/ (- g) h))) (/ 3 (sqrt (acos (/ (- g) h)))))))

series239.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(fma 2/3 PI (/ (sqrt (acos (/ (- g) h))) (/ 3 (sqrt (acos (/ (- g) h))))))
16.0ms
(sqrt (acos (/ (- g) h)))
16.0ms
(sqrt (acos (/ (- g) h)))
152.0ms
(cos (fma 2/3 PI (/ (sqrt (acos (/ (- g) h))) (/ 3 (sqrt (acos (/ (- g) h)))))))

simplify2.9s

Counts
66 → 66
Iterations
IterNodes
done5000
53106
4755
3247
2124
187
067

prune380.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize59.0ms

Local error

Found 4 expressions with local error:

0.9b
(sqrt (acos (/ (- g) h)))
1.0b
(cos (fma 2/3 PI (/ (sqrt (acos (/ (- g) h))) (/ 3 (* (fabs (cbrt (acos (/ (- g) h)))) (sqrt (cbrt (acos (/ (- g) h)))))))))
1.0b
(cbrt (acos (/ (- g) h)))
1.0b
(cbrt (acos (/ (- g) h)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×cbrt-prod
5×pow1
4×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-prod
2×pow1/3
1×rem-sqrt-square cos-sum sqrt-pow1 pow1/2 fma-udef
Counts
4 → 55
Calls
4 calls:
2.0ms
(sqrt (acos (/ (- g) h)))
5.0ms
(cos (fma 2/3 PI (/ (sqrt (acos (/ (- g) h))) (/ 3 (* (fabs (cbrt (acos (/ (- g) h)))) (sqrt (cbrt (acos (/ (- g) h)))))))))
1.0ms
(cbrt (acos (/ (- g) h)))
2.0ms
(cbrt (acos (/ (- g) h)))

series434.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(sqrt (acos (/ (- g) h)))
271.0ms
(cos (fma 2/3 PI (/ (sqrt (acos (/ (- g) h))) (/ 3 (* (fabs (cbrt (acos (/ (- g) h)))) (sqrt (cbrt (acos (/ (- g) h)))))))))
72.0ms
(cbrt (acos (/ (- g) h)))
73.0ms
(cbrt (acos (/ (- g) h)))

simplify4.4s

Counts
67 → 67
Iterations
IterNodes
done5008
54320
4996
3375
2189
1114
074

prune542.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.9b

localize63.0ms

Local error

Found 4 expressions with local error:

1.0b
(* 2/3 PI)
1.0b
(* 2/3 PI)
1.0b
(sin (* 2/3 PI))
1.6b
(cos (* 2/3 PI))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
6×associate-*r* associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 62
Calls
4 calls:
6.0ms
(* 2/3 PI)
6.0ms
(* 2/3 PI)
12.0ms
(sin (* 2/3 PI))
11.0ms
(cos (* 2/3 PI))

series0.0ms

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

simplify3.6s

Counts
66 → 66
Iterations
IterNodes
done5002
74569
61448
5838
4552
3312
2167
1110
068

prune508.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes218.0ms

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
done32
132
024

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.2s8000×body80valid
1.7s8238×body80nan