Details

Time bar (total: 13.5s)

sample97.0ms

Algorithm
intervals
Results
48.0ms256×body80valid
21.0ms246×body80nan

simplify27.0ms

Counts
1 → 1
Iterations
IterNodes
done33
533
432
329
225
121
014

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize33.0ms

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)))

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

series206.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
12.0ms
(/ (acos (/ (- g) h)) 3.0)
143.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify904.0ms

Counts
60 → 60
Iterations
IterNodes
done5001
31451
2370
1158
0103

prune436.0ms

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))
1.0b
(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
1.0b
(cos (fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
1.0b
(/ 1 (sqrt 3.0))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
106×add-sqr-sqrt
94×times-frac
66×*-un-lft-identity
60×add-cube-cbrt
53×sqrt-prod
32×add-exp-log
22×associate-*r* associate-*l*
20×add-cbrt-cube
15×unswap-sqr
12×associate-/r*
11×div-exp
8×pow1 prod-exp
6×cbrt-undiv associate-/l*
4×expm1-log1p-u cbrt-unprod log1p-expm1-u div-inv add-log-exp
3×rec-exp 1-exp pow-flip
2×clear-num frac-2neg div-sub
1×acos-asin frac-times acos-neg cos-sum sqrt-pow1 pow1/2 pow-prod-down associate-*l/ associate-*r/ distribute-frac-neg *-commutative fma-udef inv-pow
Counts
4 → 185
Calls
4 calls:
6.0ms
(/ (acos (/ (- g) h)) (sqrt 3.0))
38.0ms
(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
2.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
6.0ms
(/ 1 (sqrt 3.0))

series396.0ms

Counts
4 → 10
Calls
4 calls:
57.0ms
(/ (acos (/ (- g) h)) (sqrt 3.0))
82.0ms
(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
256.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
0.0ms
(/ 1 (sqrt 3.0))

simplify2.0s

Counts
195 → 195
Iterations
IterNodes
done5001
23698
1546
0220

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize60.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×cbrt-prod
9×times-frac
7×add-cbrt-cube add-exp-log
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×acos-asin pow-to-exp cbrt-undiv acos-neg cos-sum clear-num pow-pow frac-2neg pow1/3 div-exp pow-exp distribute-frac-neg rem-cbrt-cube fma-udef div-inv rem-cube-cbrt
Counts
4 → 89
Calls
4 calls:
9.0ms
(/ (acos (/ (- g) h)) 3.0)
4.0ms
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3))
4.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
6.0ms
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3)

series541.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (acos (/ (- g) h)) 3.0)
146.0ms
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3))
178.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
196.0ms
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3)

simplify1.2s

Counts
101 → 101
Iterations
IterNodes
done5002
21213
1274
0137

prune671.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize56.0ms

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×cos-sum fma-udef unpow2 sqr-pow
1×pow-to-exp pow-pow pow1/3 pow-exp
Counts
4 → 58
Calls
4 calls:
3.0ms
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (- (/ g h))) 3.0))) 2)
2.0ms
(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)))
2.0ms
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (- (/ g h))) 3.0))) 2))

series780.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (- (/ g h))) 3.0))) 2)
151.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (- (/ g h))) 3.0)))
119.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (- (/ g h))) 3.0)))
323.0ms
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (- (/ g h))) 3.0))) 2))

simplify976.0ms

Counts
70 → 70
Iterations
IterNodes
done5001
31513
2424
1163
079

prune534.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes328.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done22
122
018

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.4s7949×body80nan
1.1s8000×body80valid