Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

313×

body

valid

simplify871.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
11.5b	(/ (* x (- y z)) y)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

36.0ms	(* x (- y z))
21.0ms	(/ (* x (- y z)) y)

series124.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* x (- y z))
61.0ms	(/ (* x (- y z)) y)

simplify536.0ms

Counts: 55 → 55

prune115.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
3.1b	(/ x (/ y (- y z)))

rewrite64.0ms

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

Counts

2 → 139

Calls

2 calls:

20.0ms	(/ y (- y z))
31.0ms	(/ x (/ y (- y z)))

series144.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ y (- y z))
75.0ms	(/ x (/ y (- y z)))

simplify891.0ms

Counts: 145 → 145

prune405.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y z))
0.2b	(* y (/ 1 (- y z)))
3.1b	(/ x (* y (/ 1 (- y z))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
35×	`times-frac`
31×	`add-exp-log`
25×	`add-cube-cbrt`
21×	`associate-r`
19×	`add-cbrt-cube`
11×	`div-exp`
8×	`prod-exp`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `cbrt-undiv` `associate-/r` `associate-/r/` `associate-/l`
4×	`cbrt-unprod`
3×	`rec-exp` `1-exp` `associate-l` `div-inv` `add-log-exp` `unswap-sqr`
2×	`flip3--` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `flip--`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

3 → 112

Calls

3 calls:

15.0ms	(/ 1 (- y z))
31.0ms	(* y (/ 1 (- y z)))
16.0ms	(/ x (* y (/ 1 (- y z))))

series163.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ 1 (- y z))
50.0ms	(* y (/ 1 (- y z)))
70.0ms	(/ x (* y (/ 1 (- y z))))

simplify591.0ms

Counts: 121 → 121

prune182.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) y)
3.4b	(* x (/ (- y z) y))

rewrite66.0ms

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

Counts

2 → 76

Calls

2 calls:

24.0ms	(/ (- y z) y)
37.0ms	(* x (/ (- y z) y))

series117.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (- y z) y)
74.0ms	(* x (/ (- y z) y))

simplify459.0ms

Counts: 82 → 82

prune143.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes81.0ms

Accuracy

-6.5% (3.3b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 3.1b

bsearch55.0ms

Steps

Iters	Range		Point
8	1.0404410052963647e-151	1.1594925374279858e-148	1.0512835017445004e-148
8	-2.986390686038441e-182	-4.223056362124338e-186	-3.389527714480622e-184

simplify715.0ms

end0.0ms

sample766.0ms

Algorithm

intervals

Results

393.0ms

9655×

body

valid