Details

Time bar (total: 14.4s)

sample97.0ms

Algorithm
intervals
Results
42.0ms256×body80valid
39.0ms268×body80nan

simplify40.0ms

Counts
1 → 1
Iterations
IterNodes
done29
429
328
224
121
014

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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))
8.0ms
(/ (acos (/ (- g) h)) 3)
4.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series220.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
17.0ms
(/ (acos (/ (- g) h)) 3)
151.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify956.0ms

Counts
63 → 63
Iterations
IterNodes
done2000
42000
3712
2301
1160
0103

prune411.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

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:
19.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
11.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
0.0ms
(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
5.0ms
(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))

series570.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
48.0ms
(/ (acos (/ (- g) h)) (sqrt 3))
122.0ms
(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
315.0ms
(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))

simplify1.0s

Counts
258 → 258
Iterations
IterNodes
done2025
32025
21205
1608
0302

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×pow1
18×sqrt-prod
12×*-un-lft-identity add-cube-cbrt
8×sqrt-pow1 pow1/2 swap-sqr
6×add-cbrt-cube associate-*r* associate-*l* add-exp-log
5×pow-prod-up
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×fma-udef
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 84
Calls
4 calls:
0.0ms
(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
0.0ms
(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
15.0ms
(* (sqrt (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))) (sqrt (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))))
15.0ms
(cos (* (sqrt (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))) (sqrt (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))))

series693.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
122.0ms
(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
119.0ms
(* (sqrt (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))) (sqrt (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))))
299.0ms
(cos (* (sqrt (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))) (sqrt (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))))

simplify1.3s

Counts
96 → 96
Iterations
IterNodes
done2001
42001
3926
2296
1135
089

prune541.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

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 distribute-frac-neg fma-udef div-inv expm1-udef
Counts
4 → 67
Calls
4 calls:
1.0ms
(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
9.0ms
(/ (acos (/ (- g) h)) 3)
4.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
1.0ms
(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))

series564.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
12.0ms
(/ (acos (/ (- g) h)) 3)
123.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
216.0ms
(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))

simplify1.3s

Counts
79 → 79
Iterations
IterNodes
done2001
52001
41583
3711
2319
1182
0116

prune450.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 1.0b

regimes279.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done18
118
015

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.1s8000×body80valid
1.7s8084×body80nan