Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

291×

body

valid

simplify4.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
12.3b	(/ (* x (+ y z)) z)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

40.0ms	(* x (+ y z))
20.0ms	(/ (* x (+ y z)) z)

series90.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* x (+ y z))
52.0ms	(/ (* x (+ y z)) z)

simplify99.0ms

Counts: 52 → 52

prune130.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (* x y) z) x)
4.4b	(/ (* x y) z)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `div-exp`
1×	`+-commutative` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 33

Calls

2 calls:

24.0ms	(+ (/ (* x y) z) x)
16.0ms	(/ (* x y) z)

series68.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (/ (* x y) z) x)
27.0ms	(/ (* x y) z)

simplify83.0ms

Counts: 39 → 39

prune98.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x y) (/ 1 z)) x)
4.4b	(* (* x y) (/ 1 z))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
14×	`add-cbrt-cube`
13×	`associate-r`
12×	`prod-exp`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`pow1`
6×	`cbrt-unprod`
4×	`div-exp` `add-log-exp`
3×	`pow-prod-down`
2×	`cbrt-undiv` `rec-exp` `1-exp`
1×	`+-commutative` `flip3-+` `associate-r/` `associate-l` `sum-log` `un-div-inv` `-commutative` `flip-+` `div-inv`

Counts

2 → 49

Calls

2 calls:

21.0ms	(+ (* (* x y) (/ 1 z)) x)
32.0ms	(* (* x y) (/ 1 z))

series69.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* (* x y) (/ 1 z)) x)
29.0ms	(* (* x y) (/ 1 z))

simplify47.0ms

Counts: 55 → 55

prune135.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ y z))
3.7b	(/ x (/ z (+ y z)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
16×	`distribute-lft-out`
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 → 123

Calls

2 calls:

18.0ms	(/ z (+ y z))
26.0ms	(/ x (/ z (+ y z)))

series133.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ z (+ y z))
72.0ms	(/ x (/ z (+ y z)))

simplify54.0ms

Counts: 129 → 129

prune367.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (4.9b remaining)

Error of 4.9b against oracle of 0.0b and baseline of 4.9b

bsearch56.0ms

Steps

Iters	Range		Point
5	2.9714129165145365e-93	1.0224361470820399e-92	1.0010617300760747e-92
10	-1.7457635943519997e+137	-2.366836403689265e+124	-1.0974667898439183e+134

simplify29.0ms

end0.0ms

sample754.0ms

Algorithm

intervals

Results

332.0ms

9638×

body

valid