Details

sample531.0ms

Algorithm

intervals

Results

276.0ms	212×	body	10240	exit
91.0ms	244×	body	80	valid
50.0ms	383×	body	80	nan
6.0ms	17×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
7	3147
6	794
5	285
4	108
3	53
2	30
1	24
0	10

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `sqrt-prod` `add-log-exp`
3×	`pow1` `fma-def`
2×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `hypot-def` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

2 → 39

Calls

2 calls:

17.0ms	(sqrt (+ (exp x) 1))
18.0ms	(+ (exp x) 1)

series82.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(sqrt (+ (exp x) 1))
26.0ms	(+ (exp x) 1)

simplify1.1s

Counts

45 → 45

Iterations

Iter	Nodes
4	2719
3	856
2	347
1	148
0	65

prune809.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 x)
0.0b	(expm1 (+ x x))
0.0b	(sqrt (/ (expm1 (+ x x)) (expm1 x)))
0.0b	(/ (expm1 (+ x x)) (expm1 x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`sqrt-prod`
6×	`add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `add-log-exp`
3×	`associate-/r` `associate-/l` `expm1-udef`
2×	`rem-sqrt-square` `expm1-log1p` `div-inv`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp`

Counts

4 → 83

Calls

4 calls:

0.0ms	(expm1 x)
0.0ms	(expm1 (+ x x))
3.0ms	(sqrt (/ (expm1 (+ x x)) (expm1 x)))
8.0ms	(/ (expm1 (+ x x)) (expm1 x))

series168.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(expm1 x)
21.0ms	(expm1 (+ x x))
81.0ms	(sqrt (/ (expm1 (+ x x)) (expm1 x)))
52.0ms	(/ (expm1 (+ x x)) (expm1 x))

simplify2.0s

Counts

95 → 95

Iterations

Iter	Nodes
4	5070
3	1531
2	571
1	244
0	132

prune686.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1)
0.0b	(+ (exp x) 1)
0.0b	(* (+ (exp x) 1) (+ (exp x) 1))
0.1b	(cbrt (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

35×	`flip3-+` `flip-+`
32×	`frac-times`
28×	`*-un-lft-identity`
26×	`cbrt-div`
16×	`associate-*l/`
12×	`add-sqr-sqrt`
11×	`pow1`
10×	`associate-*r/` `add-cube-cbrt`
8×	`distribute-lft-out` `add-log-exp`
6×	`fma-def` `add-cbrt-cube` `swap-sqr` `add-exp-log`
4×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `sum-log`
1×	`cbrt-prod` `pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow1/3` `pow3` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

7.0ms	(+ (exp x) 1)
9.0ms	(+ (exp x) 1)
50.0ms	(* (+ (exp x) 1) (+ (exp x) 1))
59.0ms	(cbrt (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (exp x) 1)
14.0ms	(+ (exp x) 1)
27.0ms	(* (+ (exp x) 1) (+ (exp x) 1))
9.0ms	(cbrt (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)))

simplify2.8s

Counts

130 → 130

Iterations

Iter	Nodes
3	4848
2	1648
1	519
0	161

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
1	6
0	6

end0.0ms

sample10.1s

Algorithm

intervals

Results

6.7s	6642×	body	10240	exit
1.9s	12583×	body	80	nan
900.0ms	7414×	body	80	valid
167.0ms	702×	body	160	valid