Details

sample34.0ms

Algorithm

intervals

Results

21.0ms

322×

body

valid

simplify832.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
7	1716
6	872
5	387
4	171
3	84
2	34
1	14
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
3.6b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

21.0ms	(* (- 1.0 y) z)
20.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (- 1.0 y) z)
64.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify495.0ms

Counts

54 → 54

Iterations

Iter	Nodes
done	2002
2	681
1	228
0	95

prune202.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.6b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 y) z)
0.0b	(+ (* 1.0 x) (* (- (* (- 1.0 y) z)) x))
3.7b	(* (- (* (- 1.0 y) z)) x)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`associate-l`
9×	`*-un-lft-identity`
7×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-*l/`
5×	`add-log-exp`
3×	`distribute-lft-neg-out` `insert-posit16`
2×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `distribute-neg-frac` `unswap-sqr`
1×	`distribute-lft-neg-in` `+-commutative` `neg-mul-1` `sum-log` `distribute-rgt-neg-in` `flip3-+` `distribute-rgt-out` `unsub-neg` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 63

Calls

3 calls:

22.0ms	(* (- 1.0 y) z)
10.0ms	(+ (* 1.0 x) (* (- (* (- 1.0 y) z)) x))
23.0ms	(* (- (* (- 1.0 y) z)) x)

series164.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* (- 1.0 y) z)
71.0ms	(+ (* 1.0 x) (* (- (* (- 1.0 y) z)) x))
58.0ms	(* (- (* (- 1.0 y) z)) x)

simplify642.0ms

Counts

72 → 72

Iterations

Iter	Nodes
done	2001
2	1045
1	308
0	117

prune287.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* z x) (- y 1.0)) (* 1.0 x))
1.9b	(* (* z x) (- y 1.0))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*`
4×	`distribute-rgt-in` `associate-+l+` `sub-neg` `distribute-lft-in` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`associate-*r/` `insert-posit16`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `associate-l` `*-commutative` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 43

Calls

2 calls:

28.0ms	(+ (* (* z x) (- y 1.0)) (* 1.0 x))
35.0ms	(* (* z x) (- y 1.0))

series122.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(+ (* (* z x) (- y 1.0)) (* 1.0 x))
60.0ms	(* (* z x) (- y 1.0))

simplify651.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	2001
2	978
1	270
0	92

prune168.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (* z x) (- y 1.0))
8.4b	(cbrt (* (* z x) (- y 1.0)))
8.4b	(cbrt (* (* z x) (- y 1.0)))
8.4b	(cbrt (* (* z x) (- y 1.0)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

31.0ms	(* (* z x) (- y 1.0))
18.0ms	(cbrt (* (* z x) (- y 1.0)))
18.0ms	(cbrt (* (* z x) (- y 1.0)))
19.0ms	(cbrt (* (* z x) (- y 1.0)))

series714.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (* z x) (- y 1.0))
191.0ms	(cbrt (* (* z x) (- y 1.0)))
220.0ms	(cbrt (* (* z x) (- y 1.0)))
242.0ms	(cbrt (* (* z x) (- y 1.0)))

simplify693.0ms

Counts

75 → 75

Iterations

Iter	Nodes
done	2003
2	1180
1	369
0	140

prune403.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes323.0ms

Accuracy

84.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.6b

bsearch57.0ms

Steps

Iters	Range		Point
4	2.4258352802986527e-186	4.160541861592581e-186	3.4989711450626845e-186
5	-5.692721230955371e+63	-1.5281083580326006e+63	-3.8632866288602766e+63

simplify11.0ms

Iterations

Iter	Nodes
done	46
3	46
2	45
1	39
0	23

end0.0ms

sample974.0ms

Algorithm

intervals

Results

716.0ms

9947×

body

valid