Details

sample43.0ms

Algorithm

intervals

Results

22.0ms

494×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (41.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	25	7
3	49	7
4	140	6
5	564	6
6	2938	6
done	5000	6

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(exp (- (* x x) 1.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

5×	`exp-sum`
4×	`add-sqr-sqrt` `exp-prod` `add-log-exp`
3×	`add-cube-cbrt` `*-un-lft-identity` `prod-diff`
2×	`rem-exp-log`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `exp-diff` `diff-log` `add-cbrt-cube` `log1p-expm1-u` `difference-of-squares`

Counts

1 → 21

Calls

1 calls:

25.0ms

(exp (- (* x x) 1.0))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(exp (- (* x x) 1.0))

simplify4.4s

Counts

24 → 24

Iterations

Useful iterations: done (4.4s)

Iter	Nodes	Cost
0	62	234
1	120	203
2	387	180
3	1961	164
done	5000	163

prune102.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (+ x (sqrt 1.0)))
0.0b	(pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`unpow-prod-up`
18×	`add-cube-cbrt` `prod-diff`
10×	`sqrt-prod`
8×	`exp-prod`
6×	`pow-unpow`
5×	`pow-pow` `add-log-exp`
4×	`unpow-prod-down`
3×	`pow1`
2×	`add-exp-log` `expm1-log1p-u` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `rem-exp-log` `distribute-lft-out` `difference-of-squares`
1×	`pow-to-exp` `sub-neg` `pow-exp` `sum-log` `distribute-lft-out--` `pow-sub` `sqr-pow`

Counts

2 → 64

Calls

2 calls:

49.0ms	(exp (+ x (sqrt 1.0)))
72.0ms	(pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0)))

series269.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(exp (+ x (sqrt 1.0)))
230.0ms	(pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0)))

simplify1.4s

Counts

70 → 70

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	147	1342
1	423	1107
2	1748	968
done	5000	897

prune188.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (+ x (sqrt 1.0))) x)
0.0b	(pow (exp (+ x (sqrt 1.0))) (- (sqrt 1.0)))
0.0b	(exp (+ x (sqrt 1.0)))
0.0b	(exp (+ x (sqrt 1.0)))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
19×	`pow-unpow`
16×	`add-sqr-sqrt` `add-cube-cbrt` `exp-prod`
10×	`pow-pow` `add-log-exp`
8×	`unpow-prod-down`
6×	`pow1` `distribute-lft-neg-in` `distribute-rgt-neg-in` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `rem-exp-log` `distribute-lft-out`
2×	`pow-to-exp` `pow-exp` `sum-log` `sqr-pow`
1×	`neg-sub0` `pow-neg` `neg-mul-1` `pow-sub`

Counts

4 → 95

Calls

4 calls:

48.0ms	(pow (exp (+ x (sqrt 1.0))) x)
38.0ms	(pow (exp (+ x (sqrt 1.0))) (- (sqrt 1.0)))
22.0ms	(exp (+ x (sqrt 1.0)))
26.0ms	(exp (+ x (sqrt 1.0)))

series444.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(pow (exp (+ x (sqrt 1.0))) x)
273.0ms	(pow (exp (+ x (sqrt 1.0))) (- (sqrt 1.0)))
36.0ms	(exp (+ x (sqrt 1.0)))
32.0ms	(exp (+ x (sqrt 1.0)))

simplify972.0ms

Counts

107 → 107

Iterations

Useful iterations: done (967.0ms)

Iter	Nodes	Cost
0	135	1048
1	387	972
2	1567	915
done	5001	874

prune470.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) (- (sqrt 1.0)))
0.0b	(* (pow (exp x) (- (sqrt 1.0))) (pow (exp (sqrt 1.0)) (- (sqrt 1.0))))
0.0b	(pow (exp (+ x (sqrt 1.0))) x)
0.0b	(exp (+ x (sqrt 1.0)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
19×	`add-cube-cbrt` `unpow-prod-down` `pow-unpow`
11×	`exp-prod`
10×	`add-exp-log` `sqr-pow`
9×	`pow-pow` `prod-exp` `unswap-sqr`
8×	`pow-to-exp` `pow-neg` `pow-exp`
7×	`neg-sub0` `associate-r` `associate-l` `pow-sub` `add-log-exp`
6×	`pow1` `distribute-lft-neg-in` `distribute-rgt-neg-in` `sqrt-prod` `add-cbrt-cube`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u`
2×	`associate-r/` `exp-sum` `associate-l/` `rem-exp-log` `distribute-lft-out`
1×	`neg-mul-1` `pow-prod-down` `sum-log` `un-div-inv` `*-commutative` `cbrt-unprod`

Counts

4 → 130

Calls

4 calls:

7.0ms	(pow (exp x) (- (sqrt 1.0)))
47.0ms	(* (pow (exp x) (- (sqrt 1.0))) (pow (exp (sqrt 1.0)) (- (sqrt 1.0))))
34.0ms	(pow (exp (+ x (sqrt 1.0))) x)
39.0ms	(exp (+ x (sqrt 1.0)))

series778.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(pow (exp x) (- (sqrt 1.0)))
498.0ms	(* (pow (exp x) (- (sqrt 1.0))) (pow (exp (sqrt 1.0)) (- (sqrt 1.0))))
68.0ms	(pow (exp (+ x (sqrt 1.0))) x)
34.0ms	(exp (+ x (sqrt 1.0)))

simplify2.2s

Counts

142 → 142

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	207	1799
1	571	1626
2	2822	1504
done	5000	1370

prune629.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	16	22
done	16	22

end0.0ms

sample1.0s

Algorithm

intervals

Results

664.0ms

15812×

body

valid