Details

sample38.0ms

Algorithm

intervals

Results

16.0ms

320×

body

valid

simplify6.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	22	9
2	46	9
3	119	9
4	228	9
5	358	9
6	507	9
7	1008	9
8	3783	9
done	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite185.0ms

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:

125.0ms	(* x (+ (- y z) 1.0))
58.0ms	(/ (* x (+ (- y z) 1.0)) z)

series120.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* x (+ (- y z) 1.0))
69.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify3.1s

Counts

57 → 57

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	98	645
1	262	625
2	923	531
3	4857	520
done	5000	520

prune123.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (/ x z) (+ y 1.0)) x)
5.0b	(* (/ x z) (+ y 1.0))

rewrite50.0ms

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:

17.0ms	(- (* (/ x z) (+ y 1.0)) x)
31.0ms	(* (/ x z) (+ y 1.0))

series88.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- (* (/ x z) (+ y 1.0)) x)
42.0ms	(* (/ x z) (+ y 1.0))

simplify1.3s

Counts

67 → 67

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	133	793
1	411	709
2	1290	654
done	5000	648

prune168.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- y z) 1.0) z)
3.0b	(* x (/ (+ (- y z) 1.0) z))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 80

Calls

2 calls:

90.0ms	(/ (+ (- y z) 1.0) z)
129.0ms	(* x (/ (+ (- y z) 1.0) z))

series90.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (+ (- y z) 1.0) z)
56.0ms	(* x (/ (+ (- y z) 1.0) z))

simplify2.2s

Counts

86 → 86

Iterations

Useful iterations: 3 (838.0ms)

Iter	Nodes	Cost
0	111	1039
1	271	987
2	810	899
3	2970	882
done	5000	882

prune171.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* x (+ y 1.0)) z) x)
0.0b	(* x (+ y 1.0))
3.5b	(/ (* x (+ y 1.0)) z)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

27.0ms	(- (/ (* x (+ y 1.0)) z) x)
28.0ms	(* x (+ y 1.0))
16.0ms	(/ (* x (+ y 1.0)) z)

series132.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(- (/ (* x (+ y 1.0)) z) x)
39.0ms	(* x (+ y 1.0))
49.0ms	(/ (* x (+ y 1.0)) z)

simplify3.1s

Counts

103 → 103

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	149	1450
1	369	1212
2	1083	1045
3	4961	943
done	5000	943

prune217.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes106.0ms

Accuracy

69.8% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.7b

bsearch45.0ms

Steps

Iters	Range		Point
7	2.5400712297185524e+145	9.512232189668787e+146	2.5905380091358057e+145
4	-9.26603679748231e+27	-5.937076841674776e+27	-8.953946801625355e+27

simplify11.0ms

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	17	35
1	23	27
done	23	27

end0.0ms

sample1.3s

Algorithm

intervals

Results

794.0ms

10146×

body

valid