Details

Time bar (total: 17.0s)

sample125.0ms

Algorithm
intervals
Results
52.0ms256×body80valid
50.0ms266×body80nan

simplify69.0ms

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

localize38.0ms

Local error

Found 3 expressions with local error:

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)))

rewrite13.0ms

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))
8.0ms
(/ (acos (/ (- g) h)) 3)
4.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series228.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
20.0ms
(/ (acos (/ (- g) h)) 3)
166.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify1.3s

Counts
63 → 63
Iterations
IterNodes
done2000
42000
3712
2301
1160
0103

prune495.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
80×add-sqr-sqrt
66×sqrt-prod
60×times-frac
52×*-un-lft-identity add-cube-cbrt
19×pow1
18×swap-sqr
16×associate-*r* associate-*l*
10×add-cbrt-cube add-exp-log
9×unswap-sqr
8×sqrt-pow1 pow1/2
6×associate-/r* div-inv associate-/l*
5×pow-prod-up
4×expm1-log1p-u sqrt-div div-sub insert-posit16 log1p-expm1-u add-log-exp
3×pow-prod-down pow-sqr
2×acos-asin cbrt-undiv acos-neg clear-num frac-2neg div-exp distribute-frac-neg
1×pow2 frac-times cos-sum rem-square-sqrt pow-plus sqrt-unprod associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod fma-udef
Counts
4 → 165
Calls
4 calls:
10.0ms
(/ (acos (/ (- g) h)) 3)
14.0ms
(/ (acos (/ (- g) h)) 3)
26.0ms
(* (sqrt (/ (acos (/ (- g) h)) 3)) (sqrt (/ (acos (/ (- g) h)) 3)))
4.0ms
(cos (fma 2/3 PI (* (sqrt (/ (acos (/ (- g) h)) 3)) (sqrt (/ (acos (/ (- g) h)) 3)))))

series407.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (acos (/ (- g) h)) 3)
17.0ms
(/ (acos (/ (- g) h)) 3)
78.0ms
(* (sqrt (/ (acos (/ (- g) h)) 3)) (sqrt (/ (acos (/ (- g) h)) 3)))
295.0ms
(cos (fma 2/3 PI (* (sqrt (/ (acos (/ (- g) h)) 3)) (sqrt (/ (acos (/ (- g) h)) 3)))))

simplify1.7s

Counts
177 → 177
Iterations
IterNodes
done2000
42000
31879
2692
1336
0199

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

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)
2.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
0.0ms
(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))

series727.0ms

Counts
4 → 12
Calls
4 calls:
256.0ms
(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
21.0ms
(/ (acos (/ (- g) h)) 3)
180.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
271.0ms
(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))

simplify1.6s

Counts
79 → 79
Iterations
IterNodes
done2001
52001
41583
3711
2319
1182
0116

prune557.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.0b

localize89.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×cbrt-prod
13×*-un-lft-identity add-cube-cbrt
11×pow1
7×pow1/3
6×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
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 cos-sum log1p-udef pow-plus prod-exp log1p-expm1 *-commutative cbrt-unprod fma-udef
Counts
4 → 80
Calls
4 calls:
1.0ms
(cbrt (acos (/ (- g) h)))
3.0ms
(cos (fma 2/3 PI (* (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (sqrt 3)) (/ (cbrt (acos (/ (- g) h))) (sqrt 3)))))
8.0ms
(* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))
0.0ms
(log1p (expm1 (cos (fma 2/3 PI (* (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (sqrt 3)) (/ (cbrt (acos (/ (- g) h))) (sqrt 3)))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
51.0ms
(cbrt (acos (/ (- g) h)))
717.0ms
(cos (fma 2/3 PI (* (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (sqrt 3)) (/ (cbrt (acos (/ (- g) h))) (sqrt 3)))))
73.0ms
(* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))
483.0ms
(log1p (expm1 (cos (fma 2/3 PI (* (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (sqrt 3)) (/ (cbrt (acos (/ (- g) h))) (sqrt 3)))))))

simplify1.4s

Counts
92 → 92
Iterations
IterNodes
done2071
42071
31318
2422
1185
0103

prune750.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 1.0b

regimes257.0ms

Accuracy

0% (0.0b remaining)

Error of 1.0b against oracle of 1.0b and baseline of 1.0b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done18
118
015

end0.0ms

sample4.4s

Algorithm
intervals
Results
2.1s7915×body80nan
1.8s8000×body80valid