Details

sample119.0ms

Algorithm

intervals

Results

10.0ms

310×

body

valid

simplify17.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

61.0ms

(* (+ x y) z)

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* (+ x y) z)

simplify1.5s

Counts: 24 → 24

prune96.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
3.7b	(cbrt (* (+ x y) z))
3.7b	(cbrt (* (+ x y) z))
3.7b	(cbrt (* (+ x y) z))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

43.0ms	(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
14.0ms	(cbrt (* (+ x y) z))
14.0ms	(cbrt (* (+ x y) z))
15.0ms	(cbrt (* (+ x y) z))

series703.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
176.0ms	(cbrt (* (+ x y) z))
167.0ms	(cbrt (* (+ x y) z))
141.0ms	(cbrt (* (+ x y) z))

simplify2.2s

Counts: 84 → 84

prune360.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.2b	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
3.2b	(sqrt (* (+ x y) z))
3.2b	(sqrt (* (+ x y) z))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 104

Calls

4 calls:

38.0ms	(* (+ x y) z)
80.0ms	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
7.0ms	(sqrt (* (+ x y) z))
8.0ms	(sqrt (* (+ x y) z))

series367.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (+ x y) z)
30.0ms	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
138.0ms	(sqrt (* (+ x y) z))
157.0ms	(sqrt (* (+ x y) z))

simplify627.0ms

Counts: 116 → 116

prune369.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

3.0b	(- (* x x) (* y y))
9.2b	(* (- (* x x) (* y y)) z)
20.2b	(/ (* (- (* x x) (* y y)) z) (- x y))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

17.0ms	(- (* x x) (* y y))
66.0ms	(* (- (* x x) (* y y)) z)
27.0ms	(/ (* (- (* x x) (* y y)) z) (- x y))

series183.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- (* x x) (* y y))
61.0ms	(* (- (* x x) (* y y)) z)
75.0ms	(/ (* (- (* x x) (* y y)) z) (- x y))

simplify907.0ms

Counts: 72 → 72

prune173.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify26.0ms

end0.0ms

sample908.0ms

Algorithm

intervals

Results

383.0ms

10103×

body

valid