Details

sample38.0ms

Algorithm

intervals

Results

14.0ms

341×

body

valid

simplify5.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	26	7
3	62	7
4	161	7
5	435	7
6	1002	7
7	1471	7
8	1853	7
9	4329	7
done	5000	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`sub-neg` `associate-r/` `associate-l/`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 53

Calls

1 calls:

78.0ms

(* (+ x y) (- 1.0 z))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(* (+ x y) (- 1.0 z))

simplify2.4s

Counts

56 → 56

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	134	1028
1	426	851
2	2366	727
done	5000	703

prune248.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 2 expressions with local error:

2.2b	(* (- (* 1.0 1.0) (* z z)) (+ x y))
8.9b	(/ (* (- (* 1.0 1.0) (* z z)) (+ x y)) (+ 1.0 z))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 67

Calls

2 calls:

83.0ms	(* (- (* 1.0 1.0) (* z z)) (+ x y))
58.0ms	(/ (* (- (* 1.0 1.0) (* z z)) (+ x y)) (+ 1.0 z))

series210.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(* (- (* 1.0 1.0) (* z z)) (+ x y))
114.0ms	(/ (* (- (* 1.0 1.0) (* z z)) (+ x y)) (+ 1.0 z))

simplify3.5s

Counts

73 → 73

Iterations

Useful iterations: 2 (673.0ms)

Iter	Nodes	Cost
0	140	1376
1	494	1296
2	3222	1102
done	5000	1102

prune567.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 z))
0.0b	(sqrt (- 1.0 z))
0.0b	(* (sqrt (- 1.0 z)) (+ x y))
0.1b	(* (* (sqrt (- 1.0 z)) (+ x y)) (sqrt (- 1.0 z)))

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
32×	`frac-times`
25×	`add-sqr-sqrt`
23×	`flip3--` `flip--`
21×	`*-un-lft-identity` `sqrt-prod`
16×	`associate-*l/`
13×	`pow1`
12×	`flip3-+` `associate-r` `flip-+`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out`

Counts

4 → 126

Calls

4 calls:

20.0ms	(sqrt (- 1.0 z))
19.0ms	(sqrt (- 1.0 z))
73.0ms	(* (sqrt (- 1.0 z)) (+ x y))
138.0ms	(* (* (sqrt (- 1.0 z)) (+ x y)) (sqrt (- 1.0 z)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(sqrt (- 1.0 z))
59.0ms	(sqrt (- 1.0 z))
185.0ms	(* (sqrt (- 1.0 z)) (+ x y))
58.0ms	(* (* (sqrt (- 1.0 z)) (+ x y)) (sqrt (- 1.0 z)))

simplify2.8s

Counts

138 → 138

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	203	2295
1	589	2106
2	2889	1882
done	5000	1787

prune905.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `flip--` `associate--r+`

Counts

2 → 29

Calls

2 calls:

1.0ms	(fma x z (* z y))
27.0ms	(- (* 1.0 y) (fma x z (* z y)))

series138.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(fma x z (* z y))
74.0ms	(- (* 1.0 y) (fma x z (* z y)))

simplify2.0s

Counts

35 → 35

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	58	543
1	153	456
2	859	352
done	5000	334

prune189.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes445.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	9	7
done	9	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

493.0ms	10147×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid