Details

Time bar (total: 21.4s)

sample112.0ms

Algorithm
intervals
Results
47.0ms237×body80nan
32.0ms256×body80valid

simplify60.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
01416
12116
22516
32915
43215
53315
done3315

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
0.9b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×div-sub fma-udef
1×cbrt-undiv acos-neg acos-asin cos-sum frac-2neg distribute-frac-neg div-exp clear-num div-inv
Counts
3 → 51
Calls
3 calls:
0.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
9.0ms
(/ (acos (/ (- g) h)) 3.0)
6.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series212.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
20.0ms
(/ (acos (/ (- g) h)) 3.0)
135.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify3.3s

Counts
60 → 60
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
0103842
1153818
2275740
3538740
41224740
53602740
done5000740

prune279.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (/ (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))
1.0b
(cos (fma (/ 2.0 3.0) PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
330×add-sqr-sqrt
324×sqrt-prod
312×times-frac
176×add-cube-cbrt *-un-lft-identity
68×swap-sqr
40×associate-*r* associate-*l*
25×unswap-sqr
20×add-exp-log add-cbrt-cube
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×frac-2neg clear-num
1×pow2 frac-times cos-sum pow-plus sqrt-unprod associate-*r/ pow-prod-down associate-*l/ rem-square-sqrt pow-sqr *-commutative pow-prod-up fma-udef
Counts
4 → 337
Calls
4 calls:
110.0ms
(* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))
17.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))
17.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))
5.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))

series575.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))
80.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))
71.0ms
(/ (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)))))

simplify2.1s

Counts
349 → 349
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02409407
16478132
222426698
done50005947

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
1.0b
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3)
1.0b
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×cbrt-prod
9×times-frac
7×add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-/r* associate-/l*
2×cube-mult unpow3 div-sub sqr-pow
1×cbrt-undiv acos-neg acos-asin pow-to-exp cos-sum pow-pow frac-2neg pow1/3 distribute-frac-neg div-exp pow-exp clear-num rem-cbrt-cube fma-udef div-inv rem-cube-cbrt
Counts
4 → 89
Calls
4 calls:
12.0ms
(/ (acos (/ (- g) h)) 3.0)
5.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
7.0ms
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3)
6.0ms
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3))

series508.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ (acos (/ (- g) h)) 3.0)
143.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
214.0ms
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3)
138.0ms
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3))

simplify2.7s

Counts
101 → 101
Iterations

Useful iterations: 3 (852.0ms)

IterNodesCost
01371921
12331695
25031509
323491501
done50001501

prune499.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)
1.0b
(pow (* (cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)) (cbrt (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))) 3)
1.0b
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2))
1.0b
(cbrt (pow (* (cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)) (cbrt (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))) 3))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
17×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×pow1 add-exp-log unpow-prod-down
6×pow-unpow
5×pow-pow add-cbrt-cube
4×expm1-log1p-u pow1/3 log1p-expm1-u add-log-exp sqr-pow
3×pow-exp unpow2
2×cube-mult pow-to-exp unpow3 cube-prod pow-prod-down rem-cube-cbrt
1×pow3 prod-exp rem-cbrt-cube cbrt-unprod
Counts
4 → 83
Calls
4 calls:
6.0ms
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)
12.0ms
(pow (* (cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)) (cbrt (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))) 3)
9.0ms
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2))
6.0ms
(cbrt (pow (* (cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)) (cbrt (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))) 3))

series1.0s

Counts
4 → 12
Calls
4 calls:
209.0ms
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)
224.0ms
(pow (* (cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)) (cbrt (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))) 3)
402.0ms
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2))
178.0ms
(cbrt (pow (* (cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)) (cbrt (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))) 3))

simplify4.9s

Counts
95 → 95
Iterations

Useful iterations: done (4.9s)

IterNodesCost
01182920
12082441
25191704
328961608
done50001566

prune390.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes255.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02136
12536
done2536

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.2s7964×body80nan
1.1s8000×body80valid