Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

294×

body

valid

simplify68.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	22	7
3	42	7
4	61	7
5	82	7
6	92	7
done	92	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
14.3b	(/ (* x (- y z)) y)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

28.0ms	(* x (- y z))
19.0ms	(/ (* x (- y z)) y)

series97.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* x (- y z))
57.0ms	(/ (* x (- y z)) y)

simplify2.3s

Counts

55 → 55

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	90	481
1	219	457
2	715	399
3	3669	399
done	5000	399

prune120.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) y)
1.5b	(* x (/ (- y z) y))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
19×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

2 → 76

Calls

2 calls:

19.0ms	(/ (- y z) y)
36.0ms	(* x (/ (- y z) y))

series120.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (- y z) y)
78.0ms	(* x (/ (- y z) y))

simplify2.0s

Counts

82 → 82

Iterations

Useful iterations: 2 (145.0ms)

Iter	Nodes	Cost
0	111	813
1	259	769
2	751	706
3	2537	706
done	5000	706

prune282.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1 (/ z y))
1.5b	(* x (* 1 (- 1 (/ z y))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

12.0ms	(- 1 (/ z y))
59.0ms	(* x (* 1 (- 1 (/ z y))))

series72.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(- 1 (/ z y))
47.0ms	(* x (* 1 (- 1 (/ z y))))

simplify2.1s

Counts

52 → 52

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	87	588
1	186	463
2	448	411
3	1242	411
done	5000	411

prune108.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
1.5b	(/ x (/ y (- y z)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

21.0ms	(/ y (- y z))
28.0ms	(/ x (/ y (- y z)))

series131.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ y (- y z))
63.0ms	(/ x (/ y (- y z)))

simplify1.3s

Counts

145 → 145

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	218	2050
1	459	1914
2	1619	1842
done	5000	1833

prune393.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes113.0ms

Accuracy

17.7% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 3.2b

bsearch29.0ms

Steps

Iters	Range		Point
6	7.37838564378281e-301	5.698806164872307e-300	1.5039508245390077e-300
0	-1.1680172252431395e-122	-1.1611631838346019e-122	-1.1645902045388707e-122

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	17	33
1	25	23
done	25	23

end0.0ms

sample882.0ms

Algorithm

intervals

Results

433.0ms

9541×

body

valid