Details

Time bar (total: 2.8s)

sample12.0ms

Algorithm
intervals
Results
5.0ms255×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1193
2213
3233
4253
5263
6263
done263

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify63.0ms

Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03053
15446
216146
360746
4268746
5500346
done500346

prune26.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.1b
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.1b
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.1b
(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
13×add-cube-cbrt *-un-lft-identity
9×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×fma-udef
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 86
Calls
4 calls:
1.0ms
(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
16.0ms
(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series146.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
39.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
34.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
36.0ms
(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify175.0ms

Counts
98 → 98
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0177525
1655457
24084433
35001433
done5001433

prune184.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (* (* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))
0.2b
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.2b
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.2b
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
15×pow1
13×add-exp-log add-cube-cbrt
12×add-sqr-sqrt *-un-lft-identity sqrt-prod
9×pow1/3 add-cbrt-cube
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp
1×swap-sqr associate-*r* pow-sqr *-commutative
Counts
4 → 77
Calls
4 calls:
88.0ms
(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (* (* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))
1.0ms
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
2.0ms
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
2.0ms
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series401.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (* (* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))
117.0ms
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
118.0ms
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
121.0ms
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify103.0ms

Counts
89 → 89
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
03151415
110481252
24437877
35001862
done5001862

prune273.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.7b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
11.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series506.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
117.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
119.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
127.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify41.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03751093
113761017
25002880
done5002880

prune304.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183
done83

end0.0ms

sample284.0ms

Algorithm
intervals
Results
161.0ms8001×body80valid
0.0ms3×body640valid
0.0ms2×body1280valid
0.0ms3×body320valid