Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

285×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	36	10
3	59	10
4	102	10
5	161	10
6	212	10
7	240	10
8	278	10
9	319	10
10	404	10
11	502	10
12	570	10
13	634	10
14	662	10
done	662	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.7b	(fma (/ (- z t) (- a t)) y x)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

52.0ms	(/ (- z t) (- a t))
0.0ms	(fma (/ (- z t) (- a t)) y x)

series201.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(/ (- z t) (- a t))
123.0ms	(fma (/ (- z t) (- a t)) y x)

simplify3.7s

Counts

70 → 70

Iterations

Useful iterations: 4 (2.2s)

Iter	Nodes	Cost
0	113	884
1	259	856
2	632	808
3	1589	808
4	4609	806
done	5000	806

prune284.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.3b	(* (- z t) (/ 1 (- a t)))
1.7b	(fma (* (- z t) (/ 1 (- a t))) y x)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-l` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 105

Calls

3 calls:

13.0ms	(/ 1 (- a t))
54.0ms	(* (- z t) (/ 1 (- a t)))
0.0ms	(fma (* (- z t) (/ 1 (- a t))) y x)

series306.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ 1 (- a t))
90.0ms	(* (- z t) (/ 1 (- a t)))
142.0ms	(fma (* (- z t) (/ 1 (- a t))) y x)

simplify3.2s

Counts

114 → 114

Iterations

Useful iterations: 2 (268.0ms)

Iter	Nodes	Cost
0	149	1251
1	327	1018
2	905	918
3	2962	918
done	5001	918

prune365.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
1.7b	(fma (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt 1) (cbrt (- a t)))) y x)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

5.0ms	(cbrt (- a t))
9.0ms	(cbrt (- a t))
19.0ms	(cbrt (- a t))
1.0ms	(fma (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt 1) (cbrt (- a t)))) y x)

series844.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(cbrt (- a t))
239.0ms	(cbrt (- a t))
247.0ms	(cbrt (- a t))
121.0ms	(fma (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt 1) (cbrt (- a t)))) y x)

simplify3.9s

Counts

73 → 73

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	94	930
1	198	899
2	439	807
3	1099	650
4	3954	614
done	5000	611

prune488.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.4b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x y) (/ (* z y) t))
4.5b	(/ (* z y) t)

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
28×	`prod-diff`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
15×	`times-frac`
9×	`distribute-lft-out`
7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`div-inv`
4×	`fma-neg`
3×	`associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `diff-log` `div-exp` `frac-sub` `log1p-expm1-u` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `prod-exp` `associate--l+` `clear-num` `sum-log` `flip--` `cbrt-unprod` `flip-+` `associate-/l*` `difference-of-squares`

Counts

2 → 76

Calls

2 calls:

73.0ms	(- (+ x y) (/ (* z y) t))
20.0ms	(/ (* z y) t)

series84.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(- (+ x y) (/ (* z y) t))
41.0ms	(/ (* z y) t)

simplify1.9s

Counts

82 → 82

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	150	1768
1	375	1441
2	1279	1152
done	5000	972

prune245.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.4b

regimes287.0ms

Accuracy

0% (0.8b remaining)

Error of 1.5b against oracle of 0.7b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
done	9	10

end0.0ms

sample1.3s

Algorithm

intervals

Results

574.0ms	8723×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid