Details

sample24.0ms

Algorithm

intervals

Results

13.0ms

355×

body

valid

simplify6.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	22	9
2	45	9
3	112	9
4	215	9
5	328	9
6	474	9
7	968	9
8	4830	9
done	5000	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
10.0b	(/ (* x (+ (- y z) 1.0)) z)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `associate-/l/` `distribute-lft-out` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

39.0ms	(* x (+ (- y z) 1.0))
24.0ms	(/ (* x (+ (- y z) 1.0)) z)

series72.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* x (+ (- y z) 1.0))
42.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify1.8s

Counts

57 → 57

Iterations

Useful iterations: 3 (744.0ms)

Iter	Nodes	Cost
0	98	645
1	262	625
2	862	531
3	4251	520
done	5000	520

prune121.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (/ x z) (+ 1.0 y)) x)
2.5b	(* (/ x z) (+ 1.0 y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-l*`
11×	`add-cube-cbrt`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `associate-r` `add-log-exp`
3×	`prod-diff`
2×	`distribute-rgt-in` `expm1-log1p-u` `frac-times` `distribute-lft-in` `flip3-+` `associate-*r/` `prod-exp` `associate--l+` `cbrt-unprod` `flip-+` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `fma-neg` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv` `distribute-lft-out`

Counts

2 → 61

Calls

2 calls:

8.0ms	(- (* (/ x z) (+ 1.0 y)) x)
15.0ms	(* (/ x z) (+ 1.0 y))

series83.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(- (* (/ x z) (+ 1.0 y)) x)
39.0ms	(* (/ x z) (+ 1.0 y))

simplify2.4s

Counts

67 → 67

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	133	793
1	411	709
2	1197	654
3	4997	645
done	5000	645

prune154.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.7b	(* (/ (cbrt x) z) (+ 1.0 y))
2.1b	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) (+ 1.0 y)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log`
35×	`add-cbrt-cube`
33×	`prod-exp`
30×	`add-sqr-sqrt`
29×	`associate-l`
24×	`*-un-lft-identity`
23×	`times-frac`
22×	`add-cube-cbrt`
20×	`cbrt-unprod`
18×	`div-exp`
16×	`cbrt-prod`
11×	`pow1` `frac-times` `associate-*r/`
10×	`cbrt-undiv`
6×	`flip3-+` `1-exp` `flip-+`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`distribute-lft-out`

Counts

4 → 136

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
21.0ms	(* (/ (cbrt x) z) (+ 1.0 y))
34.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) (+ 1.0 y)))

series592.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt x)
180.0ms	(cbrt x)
151.0ms	(* (/ (cbrt x) z) (+ 1.0 y))
69.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) (+ 1.0 y)))

simplify1.2s

Counts

148 → 148

Iterations

Useful iterations: 2 (421.0ms)

Iter	Nodes	Cost
0	225	2182
1	771	1935
2	2844	1429
done	5000	1429

prune393.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ 1.0 y) z)
0.0b	(- (* x (/ (+ 1.0 y) z)) x)
3.3b	(* x (/ (+ 1.0 y) z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`times-frac`
22×	`add-cube-cbrt`
16×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`associate-/l*`
3×	`expm1-log1p-u` `associate-l` `prod-diff` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--` `flip-+`

Counts

3 → 90

Calls

3 calls:

9.0ms	(/ (+ 1.0 y) z)
6.0ms	(- (* x (/ (+ 1.0 y) z)) x)
15.0ms	(* x (/ (+ 1.0 y) z))

series108.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ (+ 1.0 y) z)
39.0ms	(- (* x (/ (+ 1.0 y) z)) x)
42.0ms	(* x (/ (+ 1.0 y) z))

simplify1.8s

Counts

99 → 99

Iterations

Useful iterations: 3 (746.0ms)

Iter	Nodes	Cost
0	143	1092
1	333	998
2	881	916
3	2964	890
done	5001	890

prune200.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes81.0ms

Accuracy

80.3% (0.3b remaining)

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

bsearch66.0ms

Steps

Iters	Range		Point
9	1.953506508507719e-177	2.393685370591107e-168	1.1260173767428208e-171
7	-2.719134053944714e-94	-6.484467777019858e-96	-1.217426222156136e-94

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	20	37
1	30	29
done	30	29

end0.0ms

sample463.0ms

Algorithm

intervals

Results

252.0ms

10129×

body

valid