Details

Time bar (total: 8.5s)

sample17.0ms

Algorithm
intervals
Results
9.0ms334×body80valid

simplify19.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2237
3447
4577
done577

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* x y))
0.1b
(* x (- 1.0 (* x y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×prod-diff
8×add-cube-cbrt *-un-lft-identity
5×distribute-rgt-in distribute-lft-in
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×sub-neg fma-neg associate-*r* associate-*l*
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 52
Calls
2 calls:
2.0ms
(- 1.0 (* x y))
9.0ms
(* x (- 1.0 (* x y)))

series69.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(- 1.0 (* x y))
43.0ms
(* x (- 1.0 (* x y)))

simplify2.2s

Counts
58 → 58
Iterations

Useful iterations: 3 (355.0ms)

IterNodesCost
081616
1181607
2671532
33296511
done5000511

prune110.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (fma x (- y) 1.0))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×fma-udef
1×distribute-rgt-in expm1-log1p-u distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
3.0ms
(* x (fma x (- y) 1.0))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* x (fma x (- y) 1.0))

simplify1.0s

Counts
25 → 25
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
044247
189244
2337210
31523210
done5000210

prune53.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

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 x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series743.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt x) (cbrt x))
184.0ms
(cbrt x)
181.0ms
(cbrt x)
176.0ms
(cbrt x)

simplify1.6s

Counts
93 → 93
Iterations

Useful iterations: 3 (302.0ms)

IterNodesCost
065554
1122495
2449423
31993405
done5001405

prune207.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (* x (- 1.0 (* x y))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
9.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))

series1.1s

Counts
4 → 12
Calls
4 calls:
289.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
273.0ms
(cbrt (* x (- 1.0 (* x y))))
272.0ms
(cbrt (* x (- 1.0 (* x y))))
271.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify540.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (156.0ms)

IterNodesCost
01722160
14501980
217031828
done50001828

prune269.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes82.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample376.0ms

Algorithm
intervals
Results
202.0ms10745×body80valid