Details

sample50.0ms

Algorithm

intervals

Results

23.0ms

362×

body

valid

simplify1.5s

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
5.1b	(* (/ x y) (- z t))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

32.0ms	(+ (* (/ x y) (- z t)) t)
49.0ms	(* (/ x y) (- z t))

series127.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ (* (/ x y) (- z t)) t)
71.0ms	(* (/ x y) (- z t))

simplify679.0ms

Counts: 63 → 63

prune198.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* (/ x y) z) (* (/ x y) (- t))) t)
0.0b	(+ (* (/ x y) z) (* (/ x y) (- t)))
3.7b	(* (/ x y) (- t))
3.9b	(* (/ x y) z)

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
26×	`associate-l`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
14×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
11×	`add-log-exp`
8×	`pow1`
5×	`distribute-rgt-neg-out`
4×	`associate-*l/` `prod-exp` `sum-log` `cbrt-unprod` `unswap-sqr`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`cbrt-undiv` `+-commutative` `associate-+l-` `flip3-+` `div-exp` `unsub-neg` `pow-prod-down` `*-commutative` `flip-+` `div-inv` `distribute-lft-out`
1×	`neg-mul-1` `associate-+l+` `frac-add`

Counts

4 → 103

Calls

4 calls:

71.0ms	(+ (+ (* (/ x y) z) (* (/ x y) (- t))) t)
26.0ms	(+ (* (/ x y) z) (* (/ x y) (- t)))
41.0ms	(* (/ x y) (- t))
38.0ms	(* (/ x y) z)

series213.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(+ (+ (* (/ x y) z) (* (/ x y) (- t))) t)
78.0ms	(+ (* (/ x y) z) (* (/ x y) (- t)))
34.0ms	(* (/ x y) (- t))
34.0ms	(* (/ x y) z)

simplify1.0s

Counts: 115 → 115

prune356.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.6b	(* (* (/ x y) (* (cbrt t) (cbrt t))) (- (cbrt t)))
2.4b	(* (/ x y) (* (cbrt t) (cbrt t)))
3.9b	(* (/ x y) z)

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
33×	`add-sqr-sqrt`
31×	`add-cbrt-cube`
27×	`associate-l`
25×	`add-cube-cbrt` `*-un-lft-identity`
20×	`pow1` `times-frac` `associate-r`
19×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
9×	`cbrt-prod`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
5×	`cbrt-undiv` `div-exp`
4×	`associate-*l/` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`div-inv`
1×	`neg-mul-1` `pow1/3` `distribute-rgt-neg-out`

Counts

4 → 118

Calls

4 calls:

1.0ms	(cbrt t)
104.0ms	(* (* (/ x y) (* (cbrt t) (cbrt t))) (- (cbrt t)))
44.0ms	(* (/ x y) (* (cbrt t) (cbrt t)))
22.0ms	(* (/ x y) z)

series648.0ms

Counts

4 → 12

Calls

4 calls:

304.0ms	(cbrt t)
88.0ms	(* (* (/ x y) (* (cbrt t) (cbrt t))) (- (cbrt t)))
226.0ms	(* (/ x y) (* (cbrt t) (cbrt t)))
29.0ms	(* (/ x y) z)

simplify1.3s

Counts: 130 → 130

prune445.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x (- z t)) y) t)
0.0b	(* x (- z t))
6.0b	(/ (* x (- z t)) y)

rewrite68.0ms

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:

27.0ms	(+ (/ (* x (- z t)) y) t)
22.0ms	(* x (- z t))
17.0ms	(/ (* x (- z t)) y)

series155.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (/ (* x (- z t)) y) t)
55.0ms	(* x (- z t))
58.0ms	(/ (* x (- z t)) y)

simplify629.0ms

Counts: 70 → 70

prune181.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes192.0ms

Accuracy

-193.7% (5.8b remaining)

Error of 5.8b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify370.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

566.0ms

10701×

body

valid