Details

Time bar (total: 6.8s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
099
1148
2188
3208
4228
5248
6258
done258

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

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))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify945.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
022128
130125
253109
3139109
4480109
51822109
done5000109

prune33.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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:
0.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
5.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series528.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
125.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
126.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
148.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify1.3s

Counts
93 → 93
Iterations

Useful iterations: 3 (457.0ms)

IterNodesCost
01642210
13762055
212111898
347791555
done50001555

prune239.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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:
0.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
6.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series529.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
124.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
127.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
150.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify1.4s

Counts
93 → 93
Iterations

Useful iterations: 3 (467.0ms)

IterNodesCost
01642210
13762055
212111898
347791555
done50001555

prune313.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

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))))

rewrite10.0ms

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))
7.0ms
(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series154.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
34.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
39.0ms
(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))))

simplify730.0ms

Counts
98 → 98
Iterations

Useful iterations: done (727.0ms)

IterNodesCost
0931688
11701143
24231012
31423965
done5002961

prune175.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes23.0ms

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
088
done88

end0.0ms

sample250.0ms

Algorithm
intervals
Results
162.0ms8008×body80valid
0.0ms4×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid