Details

sample43.0ms

Algorithm

intervals

Results

17.0ms

346×

body

valid

simplify1.7s

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z x)) t))
0.0b	(* y (- z x))
5.5b	(/ (* y (- z x)) t)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

16.0ms	(+ x (/ (* y (- z x)) t))
42.0ms	(* y (- z x))
30.0ms	(/ (* y (- z x)) t)

series176.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ x (/ (* y (- z x)) t))
53.0ms	(* y (- z x))
61.0ms	(/ (* y (- z x)) t)

simplify632.0ms

Counts: 70 → 70

prune214.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
7.0b	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
66.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series962.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(cbrt t)
273.0ms	(cbrt t)
276.0ms	(cbrt t)
141.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify952.0ms

Counts: 116 → 116

prune445.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt t))
0.6b	(cbrt (cbrt t))
0.6b	(cbrt (cbrt t))
6.2b	(* (/ (/ y (* (cbrt t) (cbrt t))) (* (cbrt (cbrt t)) (cbrt (cbrt t)))) (/ (- z x) (cbrt (cbrt t))))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

89×	`add-sqr-sqrt`
81×	`cbrt-prod`
76×	`times-frac`
69×	`add-exp-log`
56×	`*-un-lft-identity`
49×	`associate-r`
42×	`add-cbrt-cube`
38×	`add-cube-cbrt`
27×	`cbrt-undiv` `div-exp`
24×	`prod-exp` `cbrt-unprod`
12×	`unswap-sqr`
11×	`associate-l`
9×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
4×	`add-log-exp`
3×	`pow1/3` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 154

Calls

4 calls:

3.0ms	(cbrt (cbrt t))
3.0ms	(cbrt (cbrt t))
3.0ms	(cbrt (cbrt t))
170.0ms	(* (/ (/ y (* (cbrt t) (cbrt t))) (* (cbrt (cbrt t)) (cbrt (cbrt t)))) (/ (- z x) (cbrt (cbrt t))))

series1.3s

Counts

4 → 12

Calls

4 calls:

402.0ms	(cbrt (cbrt t))
352.0ms	(cbrt (cbrt t))
403.0ms	(cbrt (cbrt t))
127.0ms	(* (/ (/ y (* (cbrt t) (cbrt t))) (* (cbrt (cbrt t)) (cbrt (cbrt t)))) (/ (- z x) (cbrt (cbrt t))))

simplify1.7s

Counts: 166 → 166

prune824.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- (/ (* z y) t) (/ (* x y) t)))
0.0b	(- (/ (* z y) t) (/ (* x y) t))
5.8b	(/ (* z y) t)
6.1b	(/ (* x y) t)

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt` `times-frac`
11×	`add-log-exp`
10×	`add-cube-cbrt`
6×	`associate-/r*`
4×	`pow1` `cbrt-undiv` `distribute-rgt-out--` `div-exp` `div-inv`
2×	`sub-neg` `associate-+r+` `frac-2neg` `diff-log` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `distribute-lft-out` `associate-/l*` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `frac-sub` `flip--` `flip-+` `sub-div` `difference-of-squares`

Counts

4 → 79

Calls

4 calls:

59.0ms	(+ x (- (/ (* z y) t) (/ (* x y) t)))
28.0ms	(- (/ (* z y) t) (/ (* x y) t))
11.0ms	(/ (* z y) t)
11.0ms	(/ (* x y) t)

series177.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ x (- (/ (* z y) t) (/ (* x y) t)))
62.0ms	(- (/ (* z y) t) (/ (* x y) t))
33.0ms	(/ (* z y) t)
27.0ms	(/ (* x y) t)

simplify619.0ms

Counts: 91 → 91

prune289.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes154.0ms

Accuracy

-227.4% (6.5b remaining)

Error of 6.5b against oracle of 0.0b and baseline of 2.0b

bsearch83.0ms

Steps

Iters	Range		Point
7	6.763969268814938e-63	1.4639635915976136e-60	3.732545607262176e-61
6	-1.2800249083445576e-57	-9.892856781553353e-59	-1.258518507926354e-57

simplify657.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

502.0ms

10724×

body

valid