Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify21.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize7.0ms

Local error

Found 1 expressions with local error:

8.5b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
29×	`times-frac`
13×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*`
5×	`distribute-lft-out--`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 50

Calls

1 calls:

60.0ms

(/ (+ x y) (- 1.0 (/ y z)))

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

(/ (+ x y) (- 1.0 (/ y z)))

simplify745.0ms

Counts: 53 → 53

prune157.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.8b

localize23.0ms

Local error

Found 4 expressions with local error:

2.8b	(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
8.9b	(cbrt (- 1.0 (/ y z)))
8.9b	(cbrt (- 1.0 (/ y z)))
8.9b	(cbrt (- 1.0 (/ y z)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

52.0ms	(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
13.0ms	(cbrt (- 1.0 (/ y z)))
13.0ms	(cbrt (- 1.0 (/ y z)))
13.0ms	(cbrt (- 1.0 (/ y z)))

series1.7s

Counts

4 → 12

Calls

4 calls:

569.0ms	(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
381.0ms	(cbrt (- 1.0 (/ y z)))
387.0ms	(cbrt (- 1.0 (/ y z)))
397.0ms	(cbrt (- 1.0 (/ y z)))

simplify920.0ms

Counts: 93 → 93

prune346.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 6.8b

localize24.0ms

Local error

Found 4 expressions with local error:

8.9b	(cbrt (- 1.0 (/ y z)))
8.9b	(cbrt (- 1.0 (/ y z)))
8.9b	(cbrt (- 1.0 (/ y z)))
8.9b	(cbrt (- 1.0 (/ y z)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`cbrt-prod`
16×	`*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div` `difference-of-squares`
4×	`pow1` `add-exp-log` `flip3--` `times-frac` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

10.0ms	(cbrt (- 1.0 (/ y z)))
9.0ms	(cbrt (- 1.0 (/ y z)))
9.0ms	(cbrt (- 1.0 (/ y z)))
10.0ms	(cbrt (- 1.0 (/ y z)))

series1.6s

Counts

4 → 12

Calls

4 calls:

425.0ms	(cbrt (- 1.0 (/ y z)))
371.0ms	(cbrt (- 1.0 (/ y z)))
381.0ms	(cbrt (- 1.0 (/ y z)))
400.0ms	(cbrt (- 1.0 (/ y z)))

simplify821.0ms

Counts: 76 → 76

prune367.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 6.8b

localize32.0ms

Local error

Found 4 expressions with local error:

8.9b	(cbrt (- 1.0 (/ y z)))
8.9b	(cbrt (- 1.0 (/ y z)))
8.9b	(cbrt (- 1.0 (/ y z)))
8.9b	(cbrt (- 1.0 (/ y z)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`cbrt-prod`
16×	`*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div` `difference-of-squares`
4×	`pow1` `add-exp-log` `flip3--` `times-frac` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

11.0ms	(cbrt (- 1.0 (/ y z)))
15.0ms	(cbrt (- 1.0 (/ y z)))
9.0ms	(cbrt (- 1.0 (/ y z)))
9.0ms	(cbrt (- 1.0 (/ y z)))

series1.5s

Counts

4 → 12

Calls

4 calls:

379.0ms	(cbrt (- 1.0 (/ y z)))
352.0ms	(cbrt (- 1.0 (/ y z)))
389.0ms	(cbrt (- 1.0 (/ y z)))
350.0ms	(cbrt (- 1.0 (/ y z)))

simplify931.0ms

Counts: 76 → 76

prune433.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 6.8b

regimes198.0ms

Accuracy

0% (1.9b remaining)

Error of 7.6b against oracle of 5.6b and baseline of 7.6b

bsearch1.0ms

simplify1.4s

end0.0ms

sample648.0ms

Algorithm

intervals

Results

332.0ms	7997×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid