Details

sample24.0ms

Algorithm

intervals

Results

9.0ms

283×

body

valid

simplify592.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
12.3b	(/ (* x (- y z)) (- t z))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

21.0ms	(* x (- y z))
25.0ms	(/ (* x (- y z)) (- t z))

series118.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* x (- y z))
75.0ms	(/ (* x (- y z)) (- t z))

simplify485.0ms

Counts: 61 → 61

prune154.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t z) (- y z))
2.5b	(/ x (/ (- t z) (- y z)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

31.0ms	(/ (- t z) (- y z))
25.0ms	(/ x (/ (- t z) (- y z)))

series224.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (- t z) (- y z))
169.0ms	(/ x (/ (- t z) (- y z)))

simplify1.0s

Counts: 200 → 200

prune571.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- t z))
2.5b	(* x (/ (- y z) (- t z)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

32.0ms	(/ (- y z) (- t z))
69.0ms	(* x (/ (- y z) (- t z)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ (- y z) (- t z))
86.0ms	(* x (/ (- y z) (- t z)))

simplify592.0ms

Counts: 108 → 108

prune254.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y z))
0.3b	(* (- t z) (/ 1 (- y z)))
2.5b	(/ x (* (- t z) (/ 1 (- y z))))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 122

Calls

3 calls:

13.0ms	(/ 1 (- y z))
68.0ms	(* (- t z) (/ 1 (- y z)))
22.0ms	(/ x (* (- t z) (/ 1 (- y z))))

series336.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ 1 (- y z))
73.0ms	(* (- t z) (/ 1 (- y z)))
215.0ms	(/ x (* (- t z) (/ 1 (- y z))))

simplify671.0ms

Counts: 131 → 131

prune269.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (2.2b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch64.0ms

Steps

Iters	Range		Point
8	1.3572190085026964e-89	7.241411645423096e-87	6.215776646690527e-89
8	1.2651810358692454e-215	5.869746093611418e-211	7.699492722691725e-213

simplify540.0ms

end0.0ms

sample990.0ms

Algorithm

intervals

Results

478.0ms

8737×

body

valid