Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

281×

body

valid

simplify595.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
12.0b	(/ (* x (- y z)) (- t z))

rewrite77.0ms

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:

32.0ms	(* x (- y z))
43.0ms	(/ (* x (- y z)) (- t z))

series150.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* x (- y z))
100.0ms	(/ (* x (- y z)) (- t z))

simplify562.0ms

Counts: 61 → 61

prune169.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite89.0ms

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))
35.0ms	(/ x (/ (- t z) (- y z)))

series272.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/ (- t z) (- y z))
202.0ms	(/ x (/ (- t z) (- y z)))

simplify905.0ms

Counts: 200 → 200

prune492.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.6b	(/ x (* (* (cbrt (/ (- t z) (- y z))) (cbrt (/ (- t z) (- y z)))) (cbrt (/ (- t z) (- y z)))))
3.2b	(cbrt (/ (- t z) (- y z)))
3.2b	(cbrt (/ (- t z) (- y z)))
3.2b	(cbrt (/ (- t z) (- y z)))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
78×	`times-frac`
39×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
15×	`cbrt-div`
13×	`add-exp-log` `associate-/r/`
9×	`add-cbrt-cube`
5×	`frac-times` `associate-*l/`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `pow1/3` `associate-r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l`
1×	`frac-2neg` `clear-num` `associate-/r*`

Counts

4 → 150

Calls

4 calls:

111.0ms	(/ x (* (* (cbrt (/ (- t z) (- y z))) (cbrt (/ (- t z) (- y z)))) (cbrt (/ (- t z) (- y z)))))
9.0ms	(cbrt (/ (- t z) (- y z)))
9.0ms	(cbrt (/ (- t z) (- y z)))
15.0ms	(cbrt (/ (- t z) (- y z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

204.0ms	(/ x (* (* (cbrt (/ (- t z) (- y z))) (cbrt (/ (- t z) (- y z)))) (cbrt (/ (- t z) (- y z)))))
337.0ms	(cbrt (/ (- t z) (- y z)))
326.0ms	(cbrt (/ (- t z) (- y z)))
372.0ms	(cbrt (/ (- t z) (- y z)))

simplify618.0ms

Counts: 162 → 162

prune619.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- t z))
8.3b	(* (/ x (- t z)) (- y z))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 87

Calls

2 calls:

20.0ms	(/ x (- t z))
61.0ms	(* (/ x (- t z)) (- y z))

series237.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ x (- t z))
192.0ms	(* (/ x (- t z)) (- y z))

simplify455.0ms

Counts: 93 → 93

prune178.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify580.0ms

end0.0ms

sample777.0ms

Algorithm

intervals

Results

377.0ms

8758×

body

valid