Details

sample31.0ms

Algorithm

intervals

Results

16.0ms

338×

body

valid

simplify1.0s

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
7.4b	(/ (* x (+ (- y z) 1.0)) z)

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

83.0ms	(* x (+ (- y z) 1.0))
39.0ms	(/ (* x (+ (- y z) 1.0)) z)

series80.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* x (+ (- y z) 1.0))
45.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify572.0ms

Counts: 53 → 53

prune127.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x y) z) (* 1.0 (/ x z)))
0.0b	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
6.1b	(/ (* x y) z)

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

23.0ms	(+ (/ (* x y) z) (* 1.0 (/ x z)))
137.0ms	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
15.0ms	(/ (* x y) z)

series119.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ (/ (* x y) z) (* 1.0 (/ x z)))
43.0ms	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
25.0ms	(/ (* x y) z)

simplify549.0ms

Counts: 58 → 58

prune174.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (/ x z) (+ 1.0 y)) x)
3.4b	(* (/ x z) (+ 1.0 y))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

20.0ms	(- (* (/ x z) (+ 1.0 y)) x)
41.0ms	(* (/ x z) (+ 1.0 y))

series92.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(- (* (/ x z) (+ 1.0 y)) x)
44.0ms	(* (/ x z) (+ 1.0 y))

simplify562.0ms

Counts: 59 → 59

prune157.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
3.6b	(/ x (/ z (+ (- y z) 1.0)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
138×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`distribute-lft-out`
26×	`associate-/r*`
16×	`distribute-lft-out--`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

47.0ms	(/ z (+ (- y z) 1.0))
50.0ms	(/ x (/ z (+ (- y z) 1.0)))

series99.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ z (+ (- y z) 1.0))
46.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify748.0ms

Counts: 145 → 145

prune696.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes92.0ms

Accuracy

88.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.4b

bsearch93.0ms

Steps

Iters	Range		Point
6	9.345078435038129e+68	1.014226138676214e+70	2.3802987219429202e+69
10	-1.641350801313992e+89	-2.506331195121523e+72	-1.659244719723381e+73

simplify564.0ms

end0.0ms

sample967.0ms

Algorithm

intervals

Results

438.0ms

10191×

body

valid