Details

sample34.0ms

Algorithm

intervals

Results

13.0ms

266×

body

valid

simplify848.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- t z))
6.8b	(/ x (* (- y z) (- t z)))

rewrite58.0ms

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:

39.0ms	(* (- y z) (- t z))
17.0ms	(/ x (* (- y z) (- t z)))

series193.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* (- y z) (- t z))
154.0ms	(/ x (* (- y z) (- t z)))

simplify586.0ms

Counts: 69 → 69

prune185.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

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:

15.0ms	(/ x (- y z))
38.0ms	(/ (/ x (- y z)) (- t z))

series231.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ x (- y z))
186.0ms	(/ (/ x (- y z)) (- t z))

simplify781.0ms

Counts: 191 → 191

prune511.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
0.9b	(/ (/ x (cbrt (- y z))) (- t z))
1.1b	(* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (cbrt (- y z))) (- t z)))

rewrite417.0ms

Algorithm

rewrite-expression-head

Rules

590×	`times-frac`
462×	`add-sqr-sqrt`
431×	`*-un-lft-identity`
235×	`add-cube-cbrt`
178×	`cbrt-prod`
156×	`associate-r`
96×	`distribute-lft-out--` `difference-of-squares`
87×	`add-exp-log`
38×	`cbrt-div`
36×	`div-exp`
35×	`add-cbrt-cube`
34×	`associate-/r/`
30×	`prod-exp` `associate-/l*`
21×	`flip3--` `flip--`
18×	`cbrt-undiv`
15×	`associate-l`
14×	`div-inv`
12×	`cbrt-unprod` `unswap-sqr`
6×	`pow1` `rec-exp` `1-exp`
5×	`frac-times` `associate-/r*`
4×	`add-log-exp`
3×	`associate-r/` `associate-l/`
2×	`pow1/3`
1×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `associate-/l/`

Counts

4 → 457

Calls

4 calls:

8.0ms	(cbrt (- y z))
8.0ms	(cbrt (- y z))
64.0ms	(/ (/ x (cbrt (- y z))) (- t z))
268.0ms	(* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (cbrt (- y z))) (- t z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

222.0ms	(cbrt (- y z))
236.0ms	(cbrt (- y z))
337.0ms	(/ (/ x (cbrt (- y z))) (- t z))
305.0ms	(* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (cbrt (- y z))) (- t z)))

simplify810.0ms

Counts: 469 → 469

prune2.0s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y z))
0.2b	(* x (/ 1 (- y z)))
2.5b	(/ (* x (/ 1 (- y z))) (- t z))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 118

Calls

3 calls:

22.0ms	(/ 1 (- y z))
38.0ms	(* x (/ 1 (- y z)))
41.0ms	(/ (* x (/ 1 (- y z))) (- t z))

series286.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ 1 (- y z))
51.0ms	(* x (/ 1 (- y z)))
183.0ms	(/ (* x (/ 1 (- y z))) (- t z))

simplify834.0ms

Counts: 127 → 127

prune273.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes191.0ms

Accuracy

-223.4% (7.4b remaining)

Error of 7.4b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify437.0ms

end0.0ms

sample941.0ms

Algorithm

intervals

Results

375.0ms

8443×

body

valid