Details

Time bar (total: 23.3s)

sample121.0ms

Algorithm
intervals
Results
53.0ms256×body80valid
47.0ms256×body80nan

simplify71.0ms

Counts
1 → 1
Iterations
IterNodes
529
429
328
224
121
014

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize21.0ms

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)))

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* 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 → 51
Calls
3 calls:
0.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
4.0ms
(/ (acos (/ (- g) h)) 3)
2.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series215.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
23.0ms
(/ (acos (/ (- g) h)) 3)
140.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify2.3s

Counts
60 → 60
Iterations
IterNodes
53916
41452
3586
2270
1156
0100

prune686.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
156×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
144×sqrt-prod
25×associate-/l*
12×associate-/r*
11×add-cbrt-cube add-exp-log
9×div-inv
6×div-sub
4×expm1-log1p-u pow1 cbrt-undiv div-exp log1p-expm1-u add-log-exp
2×acos-asin acos-neg clear-num frac-2neg distribute-frac-neg fma-udef
1×cos-sum associate-/l/
Counts
4 → 242
Calls
4 calls:
11.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
0.0ms
(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
5.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
2.0ms
(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))

series634.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
170.0ms
(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
45.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
325.0ms
(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))

simplify2.2s

Counts
254 → 254
Iterations
IterNodes
34712
21226
1603
0298

prune3.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize51.0ms

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)))

rewrite16.0ms

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 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 → 63
Calls
4 calls:
1.0ms
(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
9.0ms
(/ (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)))

series664.0ms

Counts
4 → 12
Calls
4 calls:
253.0ms
(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
15.0ms
(/ (acos (/ (- g) h)) 3)
235.0ms
(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
160.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify1.2s

Counts
75 → 75
Iterations
IterNodes
52606
41135
3568
2304
1177
0112

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
92×cbrt-prod
79×add-sqr-sqrt
61×times-frac
51×*-un-lft-identity add-cube-cbrt
32×associate-*r*
30×pow1
17×cbrt-div associate-*l*
16×pow1/3 swap-sqr
12×unswap-sqr
11×add-exp-log pow-prod-up
7×pow-plus pow-prod-down
6×frac-times associate-*l/ div-inv
5×add-cbrt-cube pow-sqr
4×expm1-log1p-u prod-exp associate-*r/ cbrt-unprod log1p-expm1-u add-log-exp
3×pow2
2×*-commutative
1×cos-sum pow3 fma-udef
Counts
4 → 169
Calls
4 calls:
2.0ms
(cbrt (/ (acos (/ (- g) h)) 3))
27.0ms
(* (* (cbrt (/ (acos (/ (- g) h)) 3)) (cbrt (/ (acos (/ (- g) h)) 3))) (cbrt (/ (acos (/ (- g) h)) 3)))
10.0ms
(* (cbrt (/ (acos (/ (- g) h)) 3)) (cbrt (/ (acos (/ (- g) h)) 3)))
3.0ms
(cos (fma 2/3 PI (* (* (cbrt (/ (acos (/ (- g) h)) 3)) (cbrt (/ (acos (/ (- g) h)) 3))) (cbrt (/ (acos (/ (- g) h)) 3)))))

series546.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(cbrt (/ (acos (/ (- g) h)) 3))
80.0ms
(* (* (cbrt (/ (acos (/ (- g) h)) 3)) (cbrt (/ (acos (/ (- g) h)) 3))) (cbrt (/ (acos (/ (- g) h)) 3)))
137.0ms
(* (cbrt (/ (acos (/ (- g) h)) 3)) (cbrt (/ (acos (/ (- g) h)) 3)))
214.0ms
(cos (fma 2/3 PI (* (* (cbrt (/ (acos (/ (- g) h)) 3)) (cbrt (/ (acos (/ (- g) h)) 3))) (cbrt (/ (acos (/ (- g) h)) 3)))))

simplify1.5s

Counts
181 → 181
Iterations
IterNodes
32166
2889
1418
0210

prune3.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.0b

regimes313.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
231
131
026

end0.0ms

sample4.8s

Algorithm
intervals
Results
2.3s8000×body80valid
2.1s8016×body80nan