Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

313×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
11	2888
10	1219
9	525
8	246
7	140
6	102
5	83
4	61
3	39
2	20
1	11
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
12.2b	(/ (* x (- y z)) y)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 71

Calls

2 calls:

25.0ms	(* x (- y z))
18.0ms	(/ (* x (- y z)) y)

series128.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* x (- y z))
73.0ms	(/ (* x (- y z)) y)

simplify2.5s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	4923
2	938
1	331
0	140

prune251.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) y)
2.7b	(* x (/ (- y z) y))

rewrite54.0ms

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-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-/r` `associate-l*`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3--` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip--`

Counts

2 → 80

Calls

2 calls:

19.0ms	(/ (- y z) y)
32.0ms	(* x (/ (- y z) y))

series118.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- y z) y)
68.0ms	(* x (/ (- y z) y))

simplify2.4s

Counts

86 → 86

Iterations

Iter	Nodes
done	5002
3	4122
2	941
1	284
0	115

prune307.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1 (/ z y))
2.7b	(* x (- 1 (/ z y)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

125×	`add-sqr-sqrt`
117×	`prod-diff`
115×	`*-un-lft-identity`
107×	`add-cube-cbrt`
85×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
9×	`div-inv`
8×	`associate-r` `difference-of-squares`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`sub-neg` `fma-neg` `associate-l`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `log1p-expm1-u` `flip--` `distribute-lft-out--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 170

Calls

2 calls:

21.0ms	(- 1 (/ z y))
71.0ms	(* x (- 1 (/ z y)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(- 1 (/ z y))
43.0ms	(* x (- 1 (/ z y)))

simplify2.8s

Counts

176 → 176

Iterations

Iter	Nodes
done	5000
3	4308
2	1555
1	654
0	295

prune368.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
2.8b	(/ x (/ y (- y z)))

rewrite31.0ms

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-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`

Counts

2 → 143

Calls

2 calls:

9.0ms	(/ y (- y z))
13.0ms	(/ x (/ y (- y z)))

series108.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ y (- y z))
53.0ms	(/ x (/ y (- y z)))

simplify1.4s

Counts

149 → 149

Iterations

Iter	Nodes
done	5001
2	1985
1	559
0	222

prune638.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes218.0ms

Accuracy

6% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.2b

bsearch45.0ms

Steps

Iters	Range		Point
3	2.5928363848295577e-264	3.194152238107485e-264	3.156569997277614e-264
8	-5.019072626242714e-28	-3.762906313960677e-32	-5.1296313205175974e-30

simplify3.0ms

Iterations

Iter	Nodes
done	23
1	23
0	19

end0.0ms

sample729.0ms

Algorithm

intervals

Results

376.0ms

9707×

body

valid