Details

sample94.0ms

Algorithm

intervals

Results

10.0ms

266×

body

valid

simplify1.4s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
16.8b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`add-cube-cbrt` `swap-sqr` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-r/` `div-exp` `associate-r` `associate-l` `associate-l/`
2×	`add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 70

Calls

2 calls:

70.0ms	(* (+ t1 u) (+ t1 u))
94.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series124.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(* (+ t1 u) (+ t1 u))
108.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.0s

Counts: 76 → 76

prune172.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
1.6b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
108×	`times-frac`
81×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
46×	`associate-l`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
13×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*` `associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`add-log-exp`
2×	`frac-2neg` `distribute-frac-neg` `clear-num`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 192

Calls

3 calls:

27.0ms	(/ (- t1) (+ t1 u))
16.0ms	(/ v (+ t1 u))
110.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series248.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (- t1) (+ t1 u))
39.0ms	(/ v (+ t1 u))
153.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify900.0ms

Counts: 201 → 201

prune729.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ 1 (+ t1 u))
0.2b	(* (- t1) (/ 1 (+ t1 u)))
1.6b	(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
54×	`add-exp-log`
50×	`times-frac`
48×	`add-sqr-sqrt`
41×	`add-cube-cbrt`
36×	`associate-r`
34×	`add-cbrt-cube`
22×	`prod-exp`
14×	`div-exp` `distribute-lft-out`
12×	`pow1` `cbrt-unprod`
11×	`associate-l`
8×	`cbrt-undiv` `associate-/r*` `associate-/r/`
6×	`associate-/l*`
4×	`rec-exp` `flip3-+` `1-exp` `associate-*r/` `pow-prod-down` `flip-+` `div-inv` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `un-div-inv` `unswap-sqr`
2×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `-commutative`
1×	`neg-mul-1` `pow-flip` `inv-pow`

Counts

4 → 170

Calls

4 calls:

11.0ms	(/ v (+ t1 u))
12.0ms	(/ 1 (+ t1 u))
36.0ms	(* (- t1) (/ 1 (+ t1 u)))
101.0ms	(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

series358.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ v (+ t1 u))
53.0ms	(/ 1 (+ t1 u))
75.0ms	(* (- t1) (/ 1 (+ t1 u)))
180.0ms	(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

simplify1.2s

Counts: 182 → 182

prune509.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
1.0b	(/ (* t1 (/ v (+ t1 u))) (+ t1 u))
6.8b	(* t1 (/ v (+ t1 u)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 98

Calls

3 calls:

21.0ms	(/ v (+ t1 u))
38.0ms	(/ (* t1 (/ v (+ t1 u))) (+ t1 u))
38.0ms	(* t1 (/ v (+ t1 u)))

series244.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ v (+ t1 u))
133.0ms	(/ (* t1 (/ v (+ t1 u))) (+ t1 u))
73.0ms	(* t1 (/ v (+ t1 u)))

simplify590.0ms

Counts: 107 → 107

prune269.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes190.0ms

Accuracy

11.6% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.4b

bsearch80.0ms

Steps

Iters	Range		Point
6	3.0569823531783336e-85	1.808434114114363e-84	3.1086359510031426e-85
8	7.890603009807679e-301	2.083778391262524e-297	7.1991848030990155e-298

simplify5.7s

end0.0ms

sample885.0ms

Algorithm

intervals

Results

530.0ms

8237×

body

valid