Details

Time bar (total: 26.0s)

sample74.0ms

Algorithm
intervals
Results
27.0ms256×body80valid
19.0ms229×body80nan

simplify53.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
01416
12416
23115
33315
done3315

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

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 PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0))
7.0ms
(/ (acos (/ (- g) h)) 3.0)
3.0ms
(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))

series242.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0))
19.0ms
(/ (acos (/ (- g) h)) 3.0)
167.0ms
(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))

simplify4.7s

Counts
60 → 60
Iterations

Useful iterations: done (4.7s)

IterNodesCost
0103842
1342818
done5000740

prune298.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
156×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
144×sqrt-prod
25×associate-/l*
12×associate-/r*
11×add-exp-log add-cbrt-cube
9×div-inv
6×div-sub
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×acos-neg acos-asin frac-2neg distribute-frac-neg clear-num fma-udef
1×cos-sum associate-/l/
Counts
4 → 242
Calls
4 calls:
50.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))
14.0ms
(/ (acos (/ (- g) h)) (sqrt 3.0))
1.0ms
(fma PI (/ 2.0 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
4.0ms
(cos (fma PI (/ 2.0 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))

series655.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))
63.0ms
(/ (acos (/ (- g) h)) (sqrt 3.0))
141.0ms
(fma PI (/ 2.0 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
326.0ms
(cos (fma PI (/ 2.0 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))

simplify3.5s

Counts
254 → 254
Iterations

Useful iterations: done (3.5s)

IterNodesCost
03015628
113084947
done50004680

prune872.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.9b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
5×pow1
4×expm1-log1p-u log-pow log1p-expm1-u add-log-exp
3×log-prod exp-prod associate-/r* fma-udef associate-/l*
2×cos-sum div-sub
1×cbrt-undiv acos-neg acos-asin log-div frac-2neg exp-diff distribute-frac-neg div-exp rem-log-exp clear-num div-inv
Counts
4 → 69
Calls
4 calls:
1.0ms
(fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0))
10.0ms
(log (exp (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))))
8.0ms
(/ (acos (/ (- g) h)) 3.0)
3.0ms
(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))

series363.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0))
159.0ms
(log (exp (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))))
12.0ms
(/ (acos (/ (- g) h)) 3.0)
148.0ms
(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))

simplify4.2s

Counts
81 → 81
Iterations

Useful iterations: done (4.2s)

IterNodesCost
01301269
13941186
done50001082

prune445.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
8×add-exp-log add-cbrt-cube
6×associate-/r* associate-/l*
4×pow1 expm1-log1p-u div-sub log1p-expm1-u add-log-exp
2×cbrt-undiv acos-neg acos-asin cos-sum frac-2neg distribute-frac-neg div-exp clear-num fma-udef div-inv
Counts
4 → 82
Calls
4 calls:
7.0ms
(/ (acos (/ (- g) h)) 3.0)
18.0ms
(/ (acos (/ (- g) h)) 3.0)
5.0ms
(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))
5.0ms
(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))

series298.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(/ (acos (/ (- g) h)) 3.0)
21.0ms
(/ (acos (/ (- g) h)) 3.0)
128.0ms
(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))
135.0ms
(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))

simplify5.6s

Counts
94 → 94
Iterations

Useful iterations: done (5.6s)

IterNodesCost
0941290
13131254
done50001146

prune801.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes294.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01937
12437
done2437

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.6s8000×body80valid
1.1s8004×body80nan