Details

sample39.0ms

Algorithm

intervals

Results

12.0ms

278×

body

valid

simplify46.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
9.1b	(/ (* y (- z t)) (- z a))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

34.0ms	(* y (- z t))
39.0ms	(/ (* y (- z t)) (- z a))

series123.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* y (- z t))
79.0ms	(/ (* y (- z t)) (- z a))

simplify85.0ms

Counts: 61 → 61

prune149.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z a) (- z t))
2.3b	(/ y (/ (- z a) (- z t)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

29.0ms	(/ (- z a) (- z t))
41.0ms	(/ y (/ (- z a) (- z t)))

series226.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(/ (- z a) (- z t))
152.0ms	(/ y (/ (- z a) (- z t)))

simplify67.0ms

Counts: 200 → 200

prune645.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z t))
0.2b	(* (- z a) (/ 1 (- z t)))
2.3b	(/ y (* (- z a) (/ 1 (- z t))))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
35×	`times-frac`
31×	`add-exp-log`
25×	`add-cube-cbrt`
21×	`associate-r`
19×	`add-cbrt-cube`
11×	`div-exp`
10×	`associate-/r/`
8×	`prod-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `cbrt-undiv` `flip3--` `associate-/r` `flip--` `associate-/l`
5×	`associate-l`
4×	`frac-times` `associate-*l/` `cbrt-unprod`
3×	`rec-exp` `1-exp` `div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `associate-*r/` `clear-num` `un-div-inv`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

3 → 122

Calls

3 calls:

14.0ms	(/ 1 (- z t))
57.0ms	(* (- z a) (/ 1 (- z t)))
37.0ms	(/ y (* (- z a) (/ 1 (- z t))))

series218.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1 (- z t))
52.0ms	(* (- z a) (/ 1 (- z t)))
128.0ms	(/ y (* (- z a) (/ 1 (- z t))))

simplify41.0ms

Counts: 131 → 131

prune322.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.5b	(* y (/ (- z t) (- z a)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

25.0ms	(/ (- z t) (- z a))
56.0ms	(* y (/ (- z t) (- z a)))

series127.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- z t) (- z a))
79.0ms	(* y (/ (- z t) (- z a)))

simplify78.0ms

Counts: 108 → 108

prune301.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify36.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

758.0ms	8699×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid