Details

sample490.0ms

Algorithm

intervals

Results

169.0ms	190×	body	10240	exit
39.0ms	379×	body	80	nan
26.0ms	238×	body	80	valid
5.0ms	22×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
7	2807
6	746
5	264
4	99
3	47
2	28
1	20
0	10

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1 (exp x))
0.0b	(sqrt (+ 1 (exp x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
3×	`pow1` `add-cube-cbrt`
2×	`flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

2 → 30

Calls

2 calls:

5.0ms	(+ 1 (exp x))
22.0ms	(sqrt (+ 1 (exp x)))

series49.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ 1 (exp x))
39.0ms	(sqrt (+ 1 (exp x)))

simplify958.0ms

Counts

36 → 36

Iterations

Iter	Nodes
4	2352
3	788
2	320
1	139
0	63

prune99.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (+ 1 (exp (* 3 x)))) (sqrt (- (* (exp x) (exp x)) (+ -1 (exp x)))))
0.0b	(- (* (exp x) (exp x)) (+ -1 (exp x)))
0.1b	(* (exp x) (exp x))
4.3b	(+ -1 (exp x))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity` `sqrt-prod`
57×	`add-sqr-sqrt`
49×	`times-frac`
46×	`add-cube-cbrt`
18×	`exp-prod`
11×	`pow1` `add-log-exp`
9×	`distribute-lft-out` `difference-of-squares`
8×	`add-cbrt-cube`
7×	`associate-/r` `associate-/l`
6×	`add-exp-log`
4×	`sqrt-div` `pow-prod-down` `pow-sqr` `pow-prod-up` `insert-posit16`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`sum-log` `flip3-+` `flip3--` `diff-log` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`pow2` `cbrt-undiv` `+-commutative` `sqrt-undiv` `clear-num` `sub-neg` `frac-2neg` `pow-plus` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `associate--r+` `unswap-sqr`

Counts

4 → 145

Calls

4 calls:

65.0ms	(/ (sqrt (+ 1 (exp (* 3 x)))) (sqrt (- (* (exp x) (exp x)) (+ -1 (exp x)))))
34.0ms	(- (* (exp x) (exp x)) (+ -1 (exp x)))
13.0ms	(* (exp x) (exp x))
5.0ms	(+ -1 (exp x))

series195.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(/ (sqrt (+ 1 (exp (* 3 x)))) (sqrt (- (* (exp x) (exp x)) (+ -1 (exp x)))))
47.0ms	(- (* (exp x) (exp x)) (+ -1 (exp x)))
17.0ms	(* (exp x) (exp x))
18.0ms	(+ -1 (exp x))

simplify1.4s

Counts

157 → 157

Iterations

Iter	Nodes
3	3382
2	1221
1	505
0	234

prune806.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (exp x) (exp x)) (+ -1 (exp x)))
0.1b	(* (exp x) (exp x))
0.1b	(/ (sqrt (- (* (exp x) (exp x)) (+ -1 (exp x)))) (sqrt (sqrt (+ 1 (exp (* 3 x))))))
4.3b	(+ -1 (exp x))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

132×	`sqrt-prod`
78×	`*-un-lft-identity`
74×	`add-sqr-sqrt`
70×	`times-frac`
60×	`add-cube-cbrt`
18×	`exp-prod`
12×	`difference-of-squares`
11×	`pow1` `add-log-exp`
10×	`associate-/r*`
9×	`distribute-lft-out`
8×	`add-cbrt-cube`
7×	`associate-/l*`
6×	`sqrt-div` `add-exp-log`
4×	`pow-prod-down` `pow-sqr` `pow-prod-up` `insert-posit16`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`sum-log` `flip3-+` `flip3--` `diff-log` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`pow2` `cbrt-undiv` `+-commutative` `sqrt-undiv` `clear-num` `sub-neg` `frac-2neg` `pow-plus` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `associate--r+` `unswap-sqr`

Counts

4 → 169

Calls

4 calls:

31.0ms	(- (* (exp x) (exp x)) (+ -1 (exp x)))
13.0ms	(* (exp x) (exp x))
101.0ms	(/ (sqrt (- (* (exp x) (exp x)) (+ -1 (exp x)))) (sqrt (sqrt (+ 1 (exp (* 3 x))))))
5.0ms	(+ -1 (exp x))

series345.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (* (exp x) (exp x)) (+ -1 (exp x)))
24.0ms	(* (exp x) (exp x))
243.0ms	(/ (sqrt (- (* (exp x) (exp x)) (+ -1 (exp x)))) (sqrt (sqrt (+ 1 (exp (* 3 x))))))
26.0ms	(+ -1 (exp x))

simplify2.2s

Counts

181 → 181

Iterations

Iter	Nodes
3	3672
2	1263
1	536
0	262

prune881.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	6
1	6
0	5

end0.0ms

sample9.6s

Algorithm

intervals

Results

5.7s	6542×	body	10240	exit
2.1s	12405×	body	80	nan
879.0ms	7401×	body	80	valid
531.0ms	725×	body	160	valid