Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

270×

body

valid

simplify817.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- t z))
6.5b	(/ x (* (- y z) (- t z)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

59.0ms	(* (- y z) (- t z))
25.0ms	(/ x (* (- y z) (- t z)))

series226.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* (- y z) (- t z))
173.0ms	(/ x (* (- y z) (- t z)))

simplify584.0ms

Counts: 69 → 69

prune170.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- t z))
0.0b	(/ 1 (- y z))
1.1b	(* (/ 1 (- y z)) (/ x (- t z)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 150

Calls

3 calls:

12.0ms	(/ x (- t z))
13.0ms	(/ 1 (- y z))
73.0ms	(* (/ 1 (- y z)) (/ x (- t z)))

series360.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ x (- t z))
38.0ms	(/ 1 (- y z))
267.0ms	(* (/ 1 (- y z)) (/ x (- t z)))

simplify782.0ms

Counts: 159 → 159

prune375.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- t z) x)
0.0b	(/ 1 (- y z))
0.9b	(/ 1 (/ (- t z) x))
1.1b	(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

292×	`times-frac`
247×	`add-sqr-sqrt`
211×	`*-un-lft-identity`
136×	`add-cube-cbrt`
104×	`add-exp-log`
62×	`associate-r`
52×	`div-exp`
34×	`add-cbrt-cube`
32×	`distribute-lft-out--` `difference-of-squares`
28×	`prod-exp`
27×	`associate-/r*`
21×	`associate-l`
18×	`rec-exp` `1-exp`
15×	`unswap-sqr`
14×	`cbrt-undiv`
12×	`div-inv`
11×	`associate-/l*`
10×	`pow1`
6×	`associate-/r/` `cbrt-unprod`
4×	`pow-flip` `inv-pow` `add-log-exp`
3×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `flip--`
2×	`associate-/l/`
1×	`frac-times` `div-sub` `associate-r/` `associate-l/` `un-div-inv` `*-commutative`

Counts

4 → 326

Calls

4 calls:

22.0ms	(/ (- t z) x)
13.0ms	(/ 1 (- y z))
22.0ms	(/ 1 (/ (- t z) x))
116.0ms	(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

series984.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (- t z) x)
52.0ms	(/ 1 (- y z))
84.0ms	(/ 1 (/ (- t z) x))
797.0ms	(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

simplify1.8s

Counts: 338 → 338

prune1.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y z))
1.6b	(/ (/ x (- y z)) (- t z))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
176×	`add-sqr-sqrt` `*-un-lft-identity`
88×	`add-cube-cbrt`
44×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
16×	`associate-/r/`
10×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 185

Calls

2 calls:

14.0ms	(/ x (- y z))
49.0ms	(/ (/ x (- y z)) (- t z))

series237.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ x (- y z))
191.0ms	(/ (/ x (- y z)) (- t z))

simplify851.0ms

Counts: 191 → 191

prune546.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes195.0ms

Accuracy

-216.1% (7.5b remaining)

Error of 7.5b against oracle of 0.0b and baseline of 2.4b

bsearch0.0ms

simplify4.2s

end0.0ms

sample856.0ms

Algorithm

intervals

Results

376.0ms

8425×

body

valid