Details

Time bar (total: 41.8s)

sample75.0ms

Algorithm
intervals
Results
37.0ms357×body80valid

simplify81.0ms

Counts
1 → 1
Iterations
IterNodes
done58
458
344
223
110
06

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 1 expressions with local error:

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

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
3×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
77.0ms
(* x (- 1.0 (* x y)))

series260.0ms

Counts
1 → 3
Calls
1 calls:
260.0ms
(* x (- 1.0 (* x y)))

simplify10.2s

Counts
35 → 35
Iterations
IterNodes
done5000
32355
2489
1164
071

prune480.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.3b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite252.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
6.0ms
(cbrt (- 1.0 (* x y)))
6.0ms
(cbrt (- 1.0 (* x y)))
6.0ms
(cbrt (- 1.0 (* x y)))
228.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series1.7s

Counts
4 → 12
Calls
4 calls:
415.0ms
(cbrt (- 1.0 (* x y)))
431.0ms
(cbrt (- 1.0 (* x y)))
440.0ms
(cbrt (- 1.0 (* x y)))
461.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify6.4s

Counts
107 → 107
Iterations
IterNodes
done5000
34705
21200
1395
0152

prune944.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize109.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite42.0ms

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:
22.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.6s

Counts
4 → 12
Calls
4 calls:
423.0ms
(* (cbrt x) (cbrt x))
393.0ms
(cbrt x)
375.0ms
(cbrt x)
406.0ms
(cbrt x)

simplify8.5s

Counts
93 → 93
Iterations
IterNodes
done5005
44247
31097
2382
1141
065

prune722.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (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))))

rewrite100.0ms

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:
56.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
13.0ms
(cbrt (* x (- 1.0 (* x y))))
14.0ms
(cbrt (* x (- 1.0 (* x y))))
13.0ms
(cbrt (* x (- 1.0 (* x y))))

series2.4s

Counts
4 → 12
Calls
4 calls:
559.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
486.0ms
(cbrt (* x (- 1.0 (* x y))))
509.0ms
(cbrt (* x (- 1.0 (* x y))))
803.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify3.8s

Counts
92 → 92
Iterations
IterNodes
done5001
21503
1471
0172

prune1.2s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes764.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.2s10699×body80valid