Details

sample26.0ms

Algorithm

intervals

Results

13.0ms

318×

body

valid

simplify948.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
7.8b	(/ (* 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:

85.0ms	(* x (+ (- y z) 1.0))
38.0ms	(/ (* x (+ (- y z) 1.0)) z)

series81.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* x (+ (- y z) 1.0))
43.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify519.0ms

Counts: 53 → 53

prune166.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
1.4b	(/ x (/ z (+ (- y z) 1.0)))

rewrite125.0ms

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:

58.0ms	(/ z (+ (- y z) 1.0))
54.0ms	(/ x (/ z (+ (- y z) 1.0)))

series150.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(/ z (+ (- y z) 1.0))
72.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify832.0ms

Counts: 145 → 145

prune296.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- y z) 1.0) z)
1.5b	(* x (/ (+ (- y z) 1.0) z))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
31×	`times-frac`
27×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
19×	`associate-r`
14×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`associate-+l-` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip-+`

Counts

2 → 76

Calls

2 calls:

88.0ms	(/ (+ (- y z) 1.0) z)
120.0ms	(* x (/ (+ (- y z) 1.0) z))

series110.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (+ (- y z) 1.0) z)
68.0ms	(* x (/ (+ (- y z) 1.0) z))

simplify557.0ms

Counts: 82 → 82

prune175.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (+ (- y z) 1.0) (/ 1 z))
1.5b	(* x (* (+ (- y z) 1.0) (/ 1 z)))

rewrite282.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
16×	`add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
11×	`add-cube-cbrt` `times-frac`
9×	`pow1`
8×	`associate-r/` `associate-l*`
7×	`cbrt-unprod`
4×	`frac-times` `flip3-+` `div-exp` `pow-prod-down` `associate-*l/` `flip-+`
3×	`unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `un-div-inv` `*-commutative` `distribute-lft-out` `add-log-exp`
1×	`div-inv` `distribute-lft-out--`

Counts

2 → 70

Calls

2 calls:

144.0ms	(* (+ (- y z) 1.0) (/ 1 z))
133.0ms	(* x (* (+ (- y z) 1.0) (/ 1 z)))

series99.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (+ (- y z) 1.0) (/ 1 z))
65.0ms	(* x (* (+ (- y z) 1.0) (/ 1 z)))

simplify609.0ms

Counts: 76 → 76

prune173.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes74.0ms

Accuracy

-217.6% (10.0b remaining)

Error of 10.0b against oracle of 0.0b and baseline of 3.2b

bsearch81.0ms

Steps

Iters	Range		Point
7	1.2584587983409133e-50	1.0040777047744435e-48	9.872650849754673e-49
9	-8.011641952401197e+77	-4.421718693043739e+71	-5.1532315076989797e+73

simplify593.0ms

end0.0ms

sample973.0ms

Algorithm

intervals

Results

458.0ms

10140×

body

valid