Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

333×

body

valid

simplify5.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
21	4759
20	4527
19	4276
18	4020
17	3762
16	3533
15	3282
14	3028
13	2778
12	2557
11	2272
10	1923
9	1530
8	1074
7	692
6	384
5	226
4	139
3	65
2	30
1	16
0	9

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

3.2b	(fma (- t z) (/ y a) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (- t z) (/ y a) x)

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

(fma (- t z) (/ y a) x)

simplify1.5s

Counts

13 → 13

Iterations

Iter	Nodes
done	5004
4	1397
3	254
2	85
1	41
0	24

prune104.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
5.1b	(/ (* y (- z t)) a)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt` `prod-diff`
37×	`*-un-lft-identity`
33×	`add-cube-cbrt`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/` `div-inv`
3×	`expm1-log1p-u` `associate-/r` `sub-neg` `flip3--` `fma-neg` `associate-l*` `log1p-expm1-u` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `pow-prod-down` `-commutative` `associate-/l` `unswap-sqr`

Counts

3 → 111

Calls

3 calls:

8.0ms	(- x (/ (* y (- z t)) a))
21.0ms	(* y (- z t))
20.0ms	(/ (* y (- z t)) a)

series202.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(- x (/ (* y (- z t)) a))
54.0ms	(* y (- z t))
71.0ms	(/ (* y (- z t)) a)

simplify1.4s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	1399
1	554
0	224

prune531.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (* y (- z t)) (/ 1 a)))
0.0b	(* y (- z t))
5.2b	(* (* y (- z t)) (/ 1 a))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`add-exp-log`
26×	`add-cube-cbrt`
21×	`prod-diff`
18×	`associate-r`
17×	`add-cbrt-cube`
13×	`prod-exp`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow1`
9×	`times-frac`
7×	`associate-*r/` `cbrt-unprod`
5×	`add-log-exp`
4×	`flip3--` `div-exp` `associate-l` `pow-prod-down` `flip--`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `log1p-expm1-u`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `associate-l/` `-commutative`
1×	`diff-log` `un-div-inv` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 110

Calls

3 calls:

4.0ms	(- x (* (* y (- z t)) (/ 1 a)))
22.0ms	(* y (- z t))
37.0ms	(* (* y (- z t)) (/ 1 a))

series156.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- x (* (* y (- z t)) (/ 1 a)))
39.0ms	(* y (- z t))
63.0ms	(* (* y (- z t)) (/ 1 a))

simplify1.8s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	1567
1	557
0	219

prune520.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ a (- z t))
0.0b	(- x (/ y (/ a (- z t))))
5.0b	(/ y (/ a (- z t)))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

465×	`times-frac`
382×	`add-sqr-sqrt`
375×	`*-un-lft-identity`
287×	`add-cube-cbrt`
204×	`prod-diff`
46×	`difference-of-squares`
44×	`distribute-lft-out--`
32×	`associate-/r/`
26×	`associate-/r*`
18×	`div-inv`
15×	`flip3--` `flip--`
10×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `fma-neg` `log1p-expm1-u`
2×	`clear-num` `frac-2neg`
1×	`sub-neg` `diff-log`

Counts

3 → 368

Calls

3 calls:

20.0ms	(/ a (- z t))
83.0ms	(- x (/ y (/ a (- z t))))
26.0ms	(/ y (/ a (- z t)))

series226.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ a (- z t))
85.0ms	(- x (/ y (/ a (- z t))))
85.0ms	(/ y (/ a (- z t)))

simplify1.9s

Counts

377 → 377

Iterations

Iter	Nodes
done	5001
1	1831
0	668

prune2.7s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes1.1s

Accuracy

74.8% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.5b

bsearch116.0ms

Steps

Iters	Range		Point
8	5.378352720476885e-37	2.4312365745785198e-34	1.0371594890558615e-36
10	-3.762282148293487e-27	-7.562240154585706e-44	-1.1338155403290725e-27

simplify5.0ms

Iterations

Iter	Nodes
done	22
1	22
0	18

end0.0ms

sample1.3s

Algorithm

intervals

Results

731.0ms

10720×

body

valid