Details

sample45.0ms

Algorithm

intervals

Results

14.0ms

326×

body

valid

simplify161.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	54
7	54
6	51
5	48
4	42
3	35
2	29
1	16
0	10

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize51.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
5.0b	(* (/ x y) z)

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`associate-/r` `associate-r` `associate-l/` `insert-posit16`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip-+` `flip--` `sub-div`

Counts

3 → 82

Calls

3 calls:

33.0ms	(/ (+ x 4.0) y)
97.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
32.0ms	(* (/ x y) z)

series194.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (+ x 4.0) y)
93.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
55.0ms	(* (/ x y) z)

simplify2.7s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1136
1	353
0	145

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize184.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)
1.0b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
9×	`cbrt-prod` `pow1`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-l`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`frac-times` `times-frac` `associate-r` `associate-r/` `-commutative` `div-inv`

Counts

4 → 86

Calls

4 calls:

3.0ms	(cbrt x)
3.0ms	(cbrt x)
3.0ms	(cbrt x)
170.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series1.0s

Counts

4 → 12

Calls

4 calls:

289.0ms	(cbrt x)
327.0ms	(cbrt x)
324.0ms	(cbrt x)
64.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify4.2s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
2	1881
1	386
0	123

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* x (/ z y)))
5.0b	(* x (/ z y))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`associate-/r` `associate-l` `associate-r/` `insert-posit16`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip-+` `flip--` `sub-div`

Counts

3 → 82

Calls

3 calls:

25.0ms	(/ (+ x 4.0) y)
104.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
20.0ms	(* x (/ z y))

series187.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(/ (+ x 4.0) y)
75.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
46.0ms	(* x (/ z y))

simplify2.5s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	1136
1	363
0	145

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (/ 4.0 y) (/ x (/ y z))) (/ x y))
0.0b	(- (/ 4.0 y) (/ x (/ y z)))
5.2b	(/ x (/ y z))

rewrite724.0ms

Algorithm

rewrite-expression-head

Rules

89×	`times-frac`
66×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
45×	`add-cube-cbrt`
13×	`associate-/r*`
10×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
6×	`difference-of-squares`
5×	`div-inv`
4×	`distribute-lft-out--`
3×	`pow1` `cbrt-undiv` `div-exp` `frac-add` `insert-posit16` `distribute-lft-out` `associate-/l*`
2×	`associate-+l+` `sum-log` `sub-neg` `flip3--` `diff-log` `frac-sub` `flip--`
1×	`+-commutative` `clear-num` `frac-2neg` `flip3-+` `associate-/r/` `associate-+l-` `flip-+`

Counts

3 → 115

Calls

3 calls:

597.0ms	(+ (- (/ 4.0 y) (/ x (/ y z))) (/ x y))
94.0ms	(- (/ 4.0 y) (/ x (/ y z)))
23.0ms	(/ x (/ y z))

series223.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(+ (- (/ 4.0 y) (/ x (/ y z))) (/ x y))
68.0ms	(- (/ 4.0 y) (/ x (/ y z)))
45.0ms	(/ x (/ y z))

simplify3.4s

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
2	1883
1	581
0	233

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes595.0ms

Accuracy

97.3% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.1b

bsearch118.0ms

Steps

Iters	Range		Point
9	6.579902534134689e-26	7.833996301943674e-21	1.9110971058811803e-21
7	-3.8822111449762154e-05	-6.803810524357175e-07	-6.802828374588186e-06

simplify17.0ms

Iterations

Iter	Nodes
done	31
1	31
0	27

end0.0ms

sample1.0s

Algorithm

intervals

Results

625.0ms

10100×

body

valid