Details

Time bar (total: 8.3s)

sample16.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify16.0ms

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

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

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify1.7s

Counts
13 → 13
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
022128
130125
253109
3139109
4480109
51822109
done5000109

prune36.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

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)))

rewrite10.0ms

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:
6.0ms
(* (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)))

series643.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
154.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
157.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
147.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify1.6s

Counts
93 → 93
Iterations

Useful iterations: 3 (616.0ms)

IterNodesCost
01642210
13762059
212071898
348021555
done50001555

prune323.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

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))))
0.6b
(* (* (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)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))
0.7b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
115×pow1
49×pow-prod-up
47×pow1/3
33×pow-sqr
32×pow-prod-down
18×pow-plus
16×add-exp-log
15×cbrt-prod
13×pow2
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×prod-exp add-cbrt-cube cbrt-unprod
6×sqrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
1×swap-sqr associate-*r* associate-*l* *-commutative unswap-sqr
Counts
4 → 121
Calls
4 calls:
1.0ms
(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))))
28.0ms
(* (* (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)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series649.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
156.0ms
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
174.0ms
(* (* (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)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))
163.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify725.0ms

Counts
133 → 133
Iterations

Useful iterations: done (720.0ms)

IterNodesCost
02403158
15822140
217491813
done50001694

prune367.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.6b
(* (* (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)))) (cbrt (sqrt (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)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
115×pow1
49×pow-prod-up
47×pow1/3
33×pow-sqr
32×pow-prod-down
18×pow-plus
16×add-exp-log
13×pow2
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp add-cbrt-cube cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×sqrt-prod
1×swap-sqr associate-*r* associate-*l* *-commutative unswap-sqr
Counts
4 → 118
Calls
4 calls:
1.0ms
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
28.0ms
(* (* (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)))) (cbrt (sqrt (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)))

series656.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
184.0ms
(* (* (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)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))
154.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
164.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify740.0ms

Counts
130 → 130
Iterations

Useful iterations: done (736.0ms)

IterNodesCost
02403073
15822084
217491741
done50001622

prune383.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes43.0ms

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

sample260.0ms

Algorithm
intervals
Results
171.0ms8004×body80valid
0.0ms3×body1280valid
0.0ms1×body320valid
0.0ms1×body160valid