Details

Time bar (total: 35.5s)

sample128.0ms

Algorithm
intervals
Results
46.0ms241×body80nan
37.0ms256×body80valid

simplify94.0ms

Counts
1 → 1
Iterations
IterNodes
done30
530
429
327
223
121
014

prune44.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize41.0ms

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)))

rewrite30.0ms

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:
2.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
16.0ms
(/ (acos (/ (- g) h)) 3.0)
7.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series294.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
22.0ms
(/ (acos (/ (- g) h)) 3.0)
226.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify4.9s

Counts
63 → 63
Iterations
IterNodes
done5003
42506
3782
2305
1161
0106

prune804.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
6×add-cbrt-cube add-exp-log
5×pow1
4×expm1-log1p-u log-pow insert-posit16 log1p-expm1-u add-log-exp
3×log-prod exp-prod associate-/r* fma-udef associate-/l*
2×cos-sum div-sub
1×acos-asin cbrt-undiv acos-neg log-div clear-num frac-2neg exp-diff div-exp rem-log-exp distribute-frac-neg div-inv
Counts
4 → 73
Calls
4 calls:
7.0ms
(log (exp (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
1.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
8.0ms
(/ (acos (/ (- g) h)) 3.0)
4.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series519.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(log (exp (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
85.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
21.0ms
(/ (acos (/ (- g) h)) 3.0)
217.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify5.0s

Counts
85 → 85
Iterations
IterNodes
done5012
42598
3841
2356
1200
0134

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize146.0ms

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
(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)))

rewrite42.0ms

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
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×cos-sum associate-/r* fma-udef associate-/l*
2×div-sub
1×acos-asin cbrt-undiv acos-neg clear-num frac-2neg div-exp distribute-frac-neg div-inv
Counts
4 → 65
Calls
4 calls:
16.0ms
(/ (acos (/ (- g) h)) 3.0)
8.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
8.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
8.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series681.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (acos (/ (- g) h)) 3.0)
227.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
215.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
207.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify7.8s

Counts
77 → 77
Iterations
IterNodes
done5000
54751
41866
3682
2279
1150
096

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize382.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×cos-sum fma-udef
1×cbrt-div pow1/3 div-inv
Counts
4 → 58
Calls
4 calls:
7.0ms
(cbrt (/ (acos (/ (- g) h)) 3.0))
6.0ms
(cos (fma (/ 2.0 3.0) PI (* (* (cbrt (/ (acos (/ (- g) h)) 3.0)) (cbrt (/ (acos (/ (- g) h)) 3.0))) (cbrt (/ (acos (/ (- g) h)) 3.0)))))
4.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
4.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series958.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(cbrt (/ (acos (/ (- g) h)) 3.0))
308.0ms
(cos (fma (/ 2.0 3.0) PI (* (* (cbrt (/ (acos (/ (- g) h)) 3.0)) (cbrt (/ (acos (/ (- g) h)) 3.0))) (cbrt (/ (acos (/ (- g) h)) 3.0)))))
205.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
204.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify5.6s

Counts
70 → 70
Iterations
IterNodes
done5000
41364
3449
2245
1158
0115

prune1.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes1.0s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify20.0ms

Iterations
IterNodes
done31
131
026

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.4s8005×body80nan
983.0ms8000×body80valid