Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

276×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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: 1.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.0b	(fma (/ (- z t) (- a t)) y x)

rewrite28.0ms

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:

25.0ms	(/ (- z t) (- a t))
1.0ms	(fma (/ (- z t) (- a t)) y x)

series186.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ (- z t) (- a t))
119.0ms	(fma (/ (- z t) (- a t)) y x)

simplify3.1s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.8s)

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

prune314.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.7b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
1.0b	(fma (* (- z t) (/ 1 (- a t))) y x)

rewrite102.0ms

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:

23.0ms	(/ 1 (- a t))
72.0ms	(* (- z t) (/ 1 (- a t)))
0.0ms	(fma (* (- z t) (/ 1 (- a t))) y x)

series245.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ 1 (- a t))
65.0ms	(* (- z t) (/ 1 (- a t)))
135.0ms	(fma (* (- z t) (/ 1 (- a t))) y x)

simplify2.8s

Counts

114 → 114

Iterations

Useful iterations: 2 (173.0ms)

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

prune405.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
1.0b	(fma (* (- z t) (/ (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))) y x)

rewrite22.0ms

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:

6.0ms	(cbrt (- a t))
8.0ms	(cbrt (- a t))
6.0ms	(cbrt (- a t))
0.0ms	(fma (* (- z t) (/ (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))) y x)

series815.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(cbrt (- a t))
214.0ms	(cbrt (- a t))
255.0ms	(cbrt (- a t))
118.0ms	(fma (* (- z t) (/ (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))) y x)

simplify3.1s

Counts

73 → 73

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	94	917
1	194	899
2	420	741
3	1080	650
4	3829	614
done	5000	611

prune355.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
1.0b	(fma (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))) y x)

rewrite16.0ms

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:

4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
5.0ms	(cbrt (- z t))
0.0ms	(fma (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))) y x)

series860.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(cbrt (- z t))
237.0ms	(cbrt (- z t))
239.0ms	(cbrt (- z t))
129.0ms	(fma (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))) y x)

simplify2.7s

Counts

73 → 73

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	93	891
1	191	873
2	410	719
3	997	647
4	3001	611
done	5000	599

prune373.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes324.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
done	9	10

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s	8723×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid