Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

267×

body

valid

simplify939.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
11.5b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

236×	`*-un-lft-identity`
200×	`times-frac`
126×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
44×	`distribute-lft-out`
42×	`distribute-lft-out--`
22×	`associate-/r*`
20×	`difference-of-squares`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `frac-2neg` `div-sub` `clear-num` `add-log-exp`
1×	`associate-+l-` `flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+`

Counts

2 → 175

Calls

2 calls:

75.0ms	(/ (+ (- t z) 1.0) a)
65.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series220.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (+ (- t z) 1.0) a)
167.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify807.0ms

Counts: 181 → 181

prune470.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (+ (- t z) 1.0))
1.1b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

53.0ms	(/ (- y z) (+ (- t z) 1.0))
115.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series206.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ (- y z) (+ (- t z) 1.0))
148.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify509.0ms

Counts: 108 → 108

prune344.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
11.0b	(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
31×	`times-frac`
29×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
21×	`associate-r`
14×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--`
5×	`associate-l` `associate-/r*`
4×	`pow1` `associate-/r/`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3--` `flip3-+` `div-exp` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `difference-of-squares`

Counts

2 → 83

Calls

2 calls:

56.0ms	(/ a (+ (- t z) 1.0))
108.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

series166.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ a (+ (- t z) 1.0))
115.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

simplify553.0ms

Counts: 89 → 89

prune212.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
0.4b	(/ 1 (/ (/ (+ (- t z) 1.0) a) (- y z)))
11.5b	(/ (/ (+ (- t z) 1.0) a) (- y z))

rewrite399.0ms

Algorithm

rewrite-expression-head

Rules

1183×	`times-frac`
1051×	`*-un-lft-identity`
641×	`add-sqr-sqrt`
449×	`add-cube-cbrt`
178×	`distribute-lft-out--`
164×	`distribute-lft-out`
109×	`associate-/r*`
96×	`difference-of-squares`
33×	`div-inv`
31×	`add-exp-log`
27×	`associate-/l*`
19×	`div-exp` `add-cbrt-cube`
11×	`associate-/r/`
10×	`cbrt-undiv`
5×	`flip3--` `flip--`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/` `add-log-exp`
2×	`associate-+l-`
1×	`pow-flip` `flip3-+` `flip-+` `inv-pow`

Counts

3 → 607

Calls

3 calls:

116.0ms	(/ (+ (- t z) 1.0) a)
91.0ms	(/ 1 (/ (/ (+ (- t z) 1.0) a) (- y z)))
93.0ms	(/ (/ (+ (- t z) 1.0) a) (- y z))

series386.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (+ (- t z) 1.0) a)
205.0ms	(/ 1 (/ (/ (+ (- t z) 1.0) a) (- y z)))
126.0ms	(/ (/ (+ (- t z) 1.0) a) (- y z))

simplify887.0ms

Counts: 616 → 616

prune1.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes163.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.2s

end0.0ms

sample1.6s

Algorithm

intervals

Results

936.0ms

8509×

body

valid