Details

sample57.0ms

Algorithm

intervals

Results

36.0ms

327×

body

valid

simplify61.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	101
5	101
4	95
3	71
2	34
1	15
0	8

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x y) (* z y))
5.9b	(* (- (* x y) (* z y)) t)

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
26×	`associate-l`
19×	`associate-r`
12×	`distribute-rgt-out--`
10×	`distribute-lft-out--`
9×	`unswap-sqr`
8×	`add-cube-cbrt` `difference-of-squares`
5×	`*-commutative`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
2×	`flip3--` `associate-*l/` `insert-posit16` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `cbrt-unprod`

Counts

2 → 64

Calls

2 calls:

77.0ms	(- (* x y) (* z y))
180.0ms	(* (- (* x y) (* z y)) t)

series140.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(- (* x y) (* z y))
81.0ms	(* (- (* x y) (* z y)) t)

simplify3.6s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4076
2	795
1	249
0	99

prune259.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- x z))
5.9b	(* (* y (- x z)) t)

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
20×	`associate-l`
13×	`associate-r`
12×	`*-un-lft-identity`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-cube-cbrt`
5×	`unswap-sqr`
4×	`pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
3×	`*-commutative`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `associate-*l/` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

2 → 63

Calls

2 calls:

42.0ms	(* y (- x z))
92.0ms	(* (* y (- x z)) t)

series135.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(* y (- x z))
73.0ms	(* (* y (- x z)) t)

simplify2.2s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
3	2666
2	689
1	237
0	95

prune281.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x z))
0.6b	(cbrt (- x z))
0.6b	(cbrt (- x z))
3.7b	(* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (* (cbrt (- x z)) t))

rewrite864.0ms

Algorithm

rewrite-expression-head

Rules

191×	`add-sqr-sqrt`
108×	`unswap-sqr`
83×	`cbrt-prod`
71×	`associate-l`
64×	`associate-r`
61×	`add-cbrt-cube`
60×	`cbrt-div`
57×	`cbrt-unprod`
44×	`*-un-lft-identity`
32×	`associate-l/` `associate-r/`
30×	`flip3--` `flip--`
28×	`frac-times`
25×	`pow1` `add-exp-log`
22×	`add-cube-cbrt`
18×	`swap-sqr`
15×	`pow-prod-down` `prod-exp`
10×	`distribute-lft-out--`
8×	`*-commutative` `difference-of-squares`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3`

Counts

4 → 213

Calls

4 calls:

8.0ms	(cbrt (- x z))
6.0ms	(cbrt (- x z))
5.0ms	(cbrt (- x z))
826.0ms	(* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (* (cbrt (- x z)) t))

series635.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt (- x z))
194.0ms	(cbrt (- x z))
178.0ms	(cbrt (- x z))
61.0ms	(* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (* (cbrt (- x z)) t))

simplify2.7s

Counts

225 → 225

Iterations

Iter	Nodes
done	5001
2	3601
1	1012
0	299

prune923.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (cbrt (* y (* (cbrt (- x z)) (cbrt (- x z))))) (* (cbrt (- x z)) t))
3.7b	(cbrt (* y (* (cbrt (- x z)) (cbrt (- x z)))))
3.7b	(cbrt (* y (* (cbrt (- x z)) (cbrt (- x z)))))
3.7b	(cbrt (* y (* (cbrt (- x z)) (cbrt (- x z)))))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

409×	`cbrt-prod`
338×	`add-sqr-sqrt`
193×	`associate-r`
164×	`unswap-sqr`
138×	`cbrt-div`
111×	`*-un-lft-identity`
107×	`associate-l`
62×	`associate-*r/`
54×	`swap-sqr`
53×	`add-cube-cbrt`
45×	`flip3--` `flip--`
40×	`frac-times`
38×	`associate-*l/`
25×	`distribute-lft-out--`
17×	`*-commutative` `difference-of-squares`
15×	`add-cbrt-cube`
10×	`cbrt-unprod`
9×	`pow1` `add-exp-log`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp`

Counts

4 → 358

Calls

4 calls:

658.0ms	(* (cbrt (* y (* (cbrt (- x z)) (cbrt (- x z))))) (* (cbrt (- x z)) t))
257.0ms	(cbrt (* y (* (cbrt (- x z)) (cbrt (- x z)))))
196.0ms	(cbrt (* y (* (cbrt (- x z)) (cbrt (- x z)))))
208.0ms	(cbrt (* y (* (cbrt (- x z)) (cbrt (- x z)))))

series1.6s

Counts

4 → 12

Calls

4 calls:

859.0ms	(* (cbrt (* y (* (cbrt (- x z)) (cbrt (- x z))))) (* (cbrt (- x z)) t))
266.0ms	(cbrt (* y (* (cbrt (- x z)) (cbrt (- x z)))))
249.0ms	(cbrt (* y (* (cbrt (- x z)) (cbrt (- x z)))))
262.0ms	(cbrt (* y (* (cbrt (- x z)) (cbrt (- x z)))))

simplify3.3s

Counts

370 → 370

Iterations

Iter	Nodes
done	5005
2	2850
1	976
0	397

prune2.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes415.0ms

Accuracy

37% (3.5b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 5.6b

bsearch140.0ms

Steps

Iters	Range		Point
7	6.327505729925133e+39	9.618362692322932e+41	1.016524647392877e+40
10	-2.689379306548715e+101	-1.7366333594595203e+86	-1.9633851905398058e+87

simplify7.0ms

Iterations

Iter	Nodes
done	31
1	31
0	23

end0.0ms

sample1.3s

Algorithm

intervals

Results

930.0ms

10595×

body

valid