Details

Time bar (total: 21.2s)

sample101.0ms

Algorithm
intervals
Results
48.0ms256×body80valid
27.0ms236×body80nan

simplify38.0ms

Counts
1 → 1
Iterations
IterNodes
done30
530
429
327
223
121
014

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
1.0b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

rewrite21.0ms

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 (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
5.0ms
(/ (acos (/ (- g) h)) 3.0)
13.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series232.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
19.0ms
(/ (acos (/ (- g) h)) 3.0)
156.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify2.6s

Counts
60 → 60
Iterations
IterNodes
done5007
42502
3825
2304
1158
0103

prune448.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))
0.0b
(fma (/ 2.0 3.0) PI (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
0.0b
(/ (acos (/ (- g) h)) (sqrt 3.0))
1.0b
(cos (fma (/ 2.0 3.0) PI (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))

rewrite65.0ms

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:
28.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))
0.0ms
(fma (/ 2.0 3.0) PI (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
6.0ms
(/ (acos (/ (- g) h)) (sqrt 3.0))
2.0ms
(cos (fma (/ 2.0 3.0) PI (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))

series664.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))
155.0ms
(fma (/ 2.0 3.0) PI (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
75.0ms
(/ (acos (/ (- g) h)) (sqrt 3.0))
303.0ms
(cos (fma (/ 2.0 3.0) PI (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))

simplify2.6s

Counts
254 → 254
Iterations
IterNodes
done5115
34470
21221
1622
0301

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize34.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))
1.0b
(log1p (expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
1.0b
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

rewrite8.0ms

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:
5.0ms
(/ (acos (/ (- g) h)) 3.0)
0.0ms
(expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))
0.0ms
(log1p (expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
2.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series595.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(/ (acos (/ (- g) h)) 3.0)
210.0ms
(expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))
228.0ms
(log1p (expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
145.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify3.2s

Counts
75 → 75
Iterations
IterNodes
done5410
54302
41662
3719
2321
1180
0115

prune543.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.0b

localize56.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))
1.0b
(cos (fma (/ 2.0 3.0) PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))
1.0b
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))
1.0b
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
330×add-sqr-sqrt
324×sqrt-prod
312×times-frac
176×*-un-lft-identity add-cube-cbrt
68×swap-sqr
40×associate-*r* associate-*l*
25×unswap-sqr
20×add-cbrt-cube add-exp-log
12×associate-/r* associate-/l*
11×pow1
6×cbrt-undiv sqrt-undiv div-exp div-inv
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×pow2 frac-times cos-sum rem-square-sqrt pow-plus sqrt-unprod pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up fma-udef
Counts
4 → 337
Calls
4 calls:
61.0ms
(* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))
4.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))
12.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))
12.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))

series629.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))
313.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))
107.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))
112.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))

simplify2.8s

Counts
349 → 349
Iterations
IterNodes
done5000
21914
1748
0240

prune1.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 1.0b

regimes407.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done18
118
015

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.4s8000×body80valid
926.0ms7869×body80nan