Details

Time bar (total: 10.7s)

sample14.0ms

Algorithm
intervals
Results
6.0ms255×body80valid
0.0ms1×body1280valid

simplify36.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
099
1148
2198
3218
4238
5258
6268
done268

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

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:
1.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify3.0s

Counts
13 → 13
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
022128
130125
254109
3162109
4689109
53396109
done5000109

prune32.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

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)))

rewrite17.0ms

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:
12.0ms
(* (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)))

series692.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
148.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
160.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
136.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify817.0ms

Counts
93 → 93
Iterations

Useful iterations: done (811.0ms)

IterNodesCost
01642210
14052055
214851898
done50001603

prune299.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

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 (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
1.0b
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (+ 3 1))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
12×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow-unpow pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-pow
1×unpow-prod-up pow-to-exp pow-exp distribute-lft-out sqr-pow
Counts
4 → 65
Calls
4 calls:
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)))
9.0ms
(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
21.0ms
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (+ 3 1))

series782.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
182.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
163.0ms
(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
265.0ms
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (+ 3 1))

simplify1.1s

Counts
77 → 77
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02341936
16201781
222831527
done50001473

prune463.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b
(cbrt (* (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 (pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 6))
1.0b
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (+ 3 1))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
35×cbrt-prod
18×unpow-prod-down
15×*-un-lft-identity
13×add-sqr-sqrt add-cube-cbrt
5×pow1 add-exp-log
4×expm1-log1p-u pow-unpow pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-pow sqr-pow
1×unpow-prod-up pow-to-exp pow-exp distribute-lft-out
Counts
4 → 75
Calls
4 calls:
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
8.0ms
(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
6.0ms
(cbrt (pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 6))
12.0ms
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (+ 3 1))

series836.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
205.0ms
(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
183.0ms
(cbrt (pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 6))
270.0ms
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (+ 3 1))

simplify1.2s

Counts
87 → 87
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02722305
16872139
225381853
done50011750

prune639.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes64.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
done88

end0.0ms

sample482.0ms

Algorithm
intervals
Results
317.0ms8001×body80valid
0.0ms2×body1280valid
0.0ms2×body320valid