Details

sample544.0ms

Algorithm

intervals

Results

405.0ms	206×	body	10240	exit
21.0ms	406×	body	80	nan
15.0ms	236×	body	80	valid
3.0ms	23×	body	160	valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5043
8	4148
7	1069
6	332
5	133
4	65
3	37
2	27
1	19
0	10

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.0b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
4.0b	(- (exp (* 2.0 x)) 1.0)
4.2b	(- (exp x) 1.0)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
75×	`*-un-lft-identity`
51×	`times-frac`
31×	`sqrt-prod`
27×	`add-cube-cbrt`
24×	`distribute-lft-out--` `difference-of-squares`
8×	`add-log-exp`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `flip3--` `flip--` `associate-/l`
4×	`associate-/r/`
2×	`rem-sqrt-square` `sub-neg` `diff-log` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp`

Counts

4 → 123

Calls

4 calls:

25.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
55.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
11.0ms	(- (exp (* 2.0 x)) 1.0)
12.0ms	(- (exp x) 1.0)

series308.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
84.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
36.0ms	(- (exp (* 2.0 x)) 1.0)
28.0ms	(- (exp x) 1.0)

simplify1.8s

Counts

135 → 135

Iterations

Iter	Nodes
done	5001
3	3133
2	999
1	396
0	189

prune804.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp (* 2.0 x)))
0.0b	(sqrt (exp (* 2.0 x)))
4.2b	(- (exp x) 1.0)
4.2b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `sqrt-prod`
10×	`add-log-exp`
6×	`pow1` `sqrt-pow1` `add-cube-cbrt`
5×	`difference-of-squares`
4×	`add-cbrt-cube` `add-exp-log`
3×	`distribute-lft-out--`
2×	`rem-sqrt-square` `exp-prod` `sub-neg` `flip3--` `exp-to-pow` `pow1/2` `diff-log` `flip--`

Counts

4 → 62

Calls

4 calls:

3.0ms	(sqrt (exp (* 2.0 x)))
3.0ms	(sqrt (exp (* 2.0 x)))
8.0ms	(- (exp x) 1.0)
20.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))

series155.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sqrt (exp (* 2.0 x)))
31.0ms	(sqrt (exp (* 2.0 x)))
24.0ms	(- (exp x) 1.0)
57.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))

simplify1.8s

Counts

74 → 74

Iterations

Iter	Nodes
done	5005
4	2307
3	938
2	409
1	173
0	87

prune455.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))
0.0b	(sqrt (exp (* 2.0 x)))
4.2b	(- (exp x) 1.0)
4.2b	(- (pow (exp 2.0) (/ x 2)) (sqrt 1.0))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-log-exp`
8×	`sqrt-prod`
7×	`difference-of-squares`
5×	`pow1` `add-cube-cbrt`
4×	`add-cbrt-cube` `add-exp-log`
3×	`sqrt-pow1`
2×	`sub-neg` `unpow-prod-down` `flip3--` `diff-log` `flip--` `distribute-lft-out` `distribute-lft-out--` `sqr-pow`
1×	`+-commutative` `rem-sqrt-square` `exp-prod` `sum-log` `flip3-+` `exp-to-pow` `pow1/2` `flip-+`

Counts

4 → 61

Calls

4 calls:

22.0ms	(+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.0ms	(sqrt (exp (* 2.0 x)))
14.0ms	(- (exp x) 1.0)
39.0ms	(- (pow (exp 2.0) (/ x 2)) (sqrt 1.0))

series195.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))
26.0ms	(sqrt (exp (* 2.0 x)))
16.0ms	(- (exp x) 1.0)
70.0ms	(- (pow (exp 2.0) (/ x 2)) (sqrt 1.0))

simplify3.0s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
4	4306
3	1546
2	641
1	263
0	122

prune519.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))
0.0b	(sqrt (exp (* 2.0 x)))
4.2b	(- (exp x) 1.0)
4.2b	(- (exp (* 1.0 x)) (sqrt 1.0))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-log-exp`
6×	`sqrt-prod`
5×	`pow1` `add-cube-cbrt`
4×	`add-cbrt-cube` `add-exp-log`
3×	`sqrt-pow1` `difference-of-squares`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `rem-sqrt-square` `exp-prod` `sum-log` `flip3-+` `exp-to-pow` `pow1/2` `flip-+`

Counts

4 → 57

Calls

4 calls:

15.0ms	(+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))
3.0ms	(sqrt (exp (* 2.0 x)))
14.0ms	(- (exp x) 1.0)
14.0ms	(- (exp (* 1.0 x)) (sqrt 1.0))

series137.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))
27.0ms	(sqrt (exp (* 2.0 x)))
15.0ms	(- (exp x) 1.0)
42.0ms	(- (exp (* 1.0 x)) (sqrt 1.0))

simplify2.4s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
4	3554
3	1337
2	577
1	237
0	111

prune378.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes55.0ms

Accuracy

74.1% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 2.7b

bsearch55.0ms

Steps

Iters	Range		Point
7	-2.5598413051174652e-12	-4.218890414275596e-14	-2.5177565869094334e-12

simplify5.0ms

Iterations

Iter	Nodes
done	32
1	32
0	25

end0.0ms

sample7.0s

Algorithm

intervals

Results

4.7s	6715×	body	10240	exit
946.0ms	12553×	body	80	nan
746.0ms	7413×	body	80	valid
105.0ms	715×	body	160	valid