Details

Time bar (total: 28.2s)

sample130.0ms

Algorithm
intervals
Results
58.0ms256×body80valid
49.0ms244×body80nan

simplify61.0ms

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

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
0.9b
(/ (acos (/ (- g) h)) 3)
1.0b
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

rewrite10.0ms

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* insert-posit16 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 → 54
Calls
3 calls:
0.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
6.0ms
(/ (acos (/ (- g) h)) 3)
3.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series194.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
19.0ms
(/ (acos (/ (- g) h)) 3)
135.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify2.5s

Counts
63 → 63
Iterations
IterNodes
54524
41582
3629
2295
1158
0103

prune737.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

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))))

rewrite50.0ms

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 insert-posit16 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 → 246
Calls
4 calls:
23.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
0.0ms
(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
12.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
5.0ms
(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))

series1.0s

Counts
4 → 12
Calls
4 calls:
469.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
146.0ms
(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
69.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
323.0ms
(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))

simplify2.3s

Counts
258 → 258
Iterations
IterNodes
34353
21207
1598
0302

prune3.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.9b
(expm1 (cos (fma 2/3 PI (/ (acos (- (/ g h))) 3))))
0.9b
(/ (acos (- (/ g h))) 3)
1.0b
(cos (fma 2/3 PI (/ (acos (- (/ g h))) 3)))
1.0b
(log1p (expm1 (cos (fma 2/3 PI (/ (acos (- (/ g h))) 3)))))

rewrite10.0ms

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 insert-posit16 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 fma-udef div-inv expm1-udef
Counts
4 → 67
Calls
4 calls:
0.0ms
(expm1 (cos (fma 2/3 PI (/ (acos (- (/ g h))) 3))))
5.0ms
(/ (acos (- (/ g h))) 3)
3.0ms
(cos (fma 2/3 PI (/ (acos (- (/ g h))) 3)))
0.0ms
(log1p (expm1 (cos (fma 2/3 PI (/ (acos (- (/ g h))) 3)))))

series561.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(expm1 (cos (fma 2/3 PI (/ (acos (- (/ g h))) 3))))
18.0ms
(/ (acos (- (/ g h))) 3)
116.0ms
(cos (fma 2/3 PI (/ (acos (- (/ g h))) 3)))
231.0ms
(log1p (expm1 (cos (fma 2/3 PI (/ (acos (- (/ g h))) 3)))))

simplify5.1s

Counts
79 → 79
Iterations
IterNodes
63885
51942
41103
3596
2338
1175
0112

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize79.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (sqrt (acos (- (/ g h)))) (sqrt 3))
0.9b
(* (/ (sqrt (acos (- (/ g h)))) (sqrt 3)) (/ (sqrt (acos (- (/ g h)))) (sqrt 3)))
1.0b
(log1p (expm1 (cos (fma 2/3 PI (* (/ (sqrt (acos (- (/ g h)))) (sqrt 3)) (/ (sqrt (acos (- (/ g h)))) (sqrt 3)))))))
1.0b
(cos (fma 2/3 PI (* (/ (sqrt (acos (- (/ g h)))) (sqrt 3)) (/ (sqrt (acos (- (/ g h)))) (sqrt 3)))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
302×add-sqr-sqrt
282×sqrt-prod
276×times-frac
148×*-un-lft-identity add-cube-cbrt
68×swap-sqr
40×associate-*r* associate-*l*
25×unswap-sqr
18×add-cbrt-cube add-exp-log
11×pow1
6×associate-/r* associate-/l*
5×cbrt-undiv sqrt-undiv div-exp div-inv
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×pow2 frac-times cos-sum log1p-udef clear-num rem-square-sqrt frac-2neg pow-plus sqrt-unprod pow-prod-down associate-*l/ log1p-expm1 associate-*r/ pow-sqr *-commutative pow-prod-up fma-udef
Counts
4 → 289
Calls
4 calls:
12.0ms
(/ (sqrt (acos (- (/ g h)))) (sqrt 3))
40.0ms
(* (/ (sqrt (acos (- (/ g h)))) (sqrt 3)) (/ (sqrt (acos (- (/ g h)))) (sqrt 3)))
0.0ms
(log1p (expm1 (cos (fma 2/3 PI (* (/ (sqrt (acos (- (/ g h)))) (sqrt 3)) (/ (sqrt (acos (- (/ g h)))) (sqrt 3)))))))
5.0ms
(cos (fma 2/3 PI (* (/ (sqrt (acos (- (/ g h)))) (sqrt 3)) (/ (sqrt (acos (- (/ g h)))) (sqrt 3)))))

series912.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ (sqrt (acos (- (/ g h)))) (sqrt 3))
130.0ms
(* (/ (sqrt (acos (- (/ g h)))) (sqrt 3)) (/ (sqrt (acos (- (/ g h)))) (sqrt 3)))
411.0ms
(log1p (expm1 (cos (fma 2/3 PI (* (/ (sqrt (acos (- (/ g h)))) (sqrt 3)) (/ (sqrt (acos (- (/ g h)))) (sqrt 3)))))))
283.0ms
(cos (fma 2/3 PI (* (/ (sqrt (acos (- (/ g h)))) (sqrt 3)) (/ (sqrt (acos (- (/ g h)))) (sqrt 3)))))

simplify784.0ms

Counts
301 → 301
Iterations
IterNodes
22044
1740
0247

prune4.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.9b

regimes182.0ms

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
218
118
015

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.1s8000×body80valid
1.7s8019×body80nan