Details

sample476.0ms

Algorithm

intervals

Results

135.0ms	194×	body	10240	exit
91.0ms	433×	body	80	nan
22.0ms	240×	body	80	valid
4.0ms	23×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	767
5	185
4	76
3	41
2	28
1	19
0	10

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.3b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
4.3b	(- (exp (* 2.0 x)) 1.0)
4.3b	(- (exp x) 1.0)

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
89×	`*-un-lft-identity`
51×	`times-frac`
41×	`add-cube-cbrt`
31×	`sqrt-prod`
24×	`distribute-lft-out--` `difference-of-squares`
18×	`prod-diff`
8×	`add-log-exp`
6×	`add-cbrt-cube` `fma-neg` `add-exp-log`
5×	`pow1` `associate-/r` `flip3--` `flip--` `associate-/l`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
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 → 155

Calls

4 calls:

35.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
51.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
11.0ms	(- (exp (* 2.0 x)) 1.0)
11.0ms	(- (exp x) 1.0)

series291.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
89.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
40.0ms	(- (exp (* 2.0 x)) 1.0)
26.0ms	(- (exp x) 1.0)

simplify1.4s

Counts

167 → 167

Iterations

Iter	Nodes
done	5000
2	1528
1	502
0	232

prune771.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (exp (* 2.0 x)))
0.3b	(/ (fma (sqrt (exp (* 2.0 x))) (sqrt (exp (* 2.0 x))) (- 1.0)) (- (exp x) 1.0))
4.3b	(- (exp x) 1.0)
4.3b	(fma (sqrt (exp (* 2.0 x))) (sqrt (exp (* 2.0 x))) (- 1.0))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
22×	`add-cube-cbrt`
15×	`times-frac`
9×	`prod-diff`
7×	`add-log-exp`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sqrt-pow1` `fma-neg` `sqrt-prod` `associate-/l*`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `rem-sqrt-square` `exp-prod` `clear-num` `sub-neg` `frac-2neg` `exp-to-pow` `pow1/2` `diff-log` `div-exp` `fma-udef` `div-inv`

Counts

4 → 94

Calls

4 calls:

5.0ms	(sqrt (exp (* 2.0 x)))
25.0ms	(/ (fma (sqrt (exp (* 2.0 x))) (sqrt (exp (* 2.0 x))) (- 1.0)) (- (exp x) 1.0))
18.0ms	(- (exp x) 1.0)
1.0ms	(fma (sqrt (exp (* 2.0 x))) (sqrt (exp (* 2.0 x))) (- 1.0))

series379.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sqrt (exp (* 2.0 x)))
176.0ms	(/ (fma (sqrt (exp (* 2.0 x))) (sqrt (exp (* 2.0 x))) (- 1.0)) (- (exp x) 1.0))
16.0ms	(- (exp x) 1.0)
144.0ms	(fma (sqrt (exp (* 2.0 x))) (sqrt (exp (* 2.0 x))) (- 1.0))

simplify2.8s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
3	4905
2	915
1	316
0	157

prune519.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (fma (sqrt (exp (* 2.0 x))) (exp (log (sqrt (exp (* 2.0 x))))) (- 1.0)) (- (exp x) 1.0))
4.3b	(- (exp x) 1.0)
4.3b	(fma (sqrt (exp (* 2.0 x))) (exp (log (sqrt (exp (* 2.0 x))))) (- 1.0))
5.1b	(log (sqrt (exp (* 2.0 x))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt` `*-un-lft-identity`
23×	`add-cube-cbrt`
15×	`times-frac`
9×	`prod-diff`
7×	`add-exp-log` `add-log-exp`
6×	`pow1` `log-prod` `add-cbrt-cube`
5×	`associate-/r*` `log-pow` `distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sqrt-pow1` `fma-neg` `sqrt-prod` `associate-/l*`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `exp-prod` `clear-num` `sub-neg` `frac-2neg` `exp-to-pow` `pow1/2` `diff-log` `div-exp` `rem-log-exp` `fma-udef` `div-inv`

Counts

4 → 98

Calls

4 calls:

25.0ms	(/ (fma (sqrt (exp (* 2.0 x))) (exp (log (sqrt (exp (* 2.0 x))))) (- 1.0)) (- (exp x) 1.0))
10.0ms	(- (exp x) 1.0)
1.0ms	(fma (sqrt (exp (* 2.0 x))) (exp (log (sqrt (exp (* 2.0 x))))) (- 1.0))
3.0ms	(log (sqrt (exp (* 2.0 x))))

series527.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(/ (fma (sqrt (exp (* 2.0 x))) (exp (log (sqrt (exp (* 2.0 x))))) (- 1.0)) (- (exp x) 1.0))
20.0ms	(- (exp x) 1.0)
126.0ms	(fma (sqrt (exp (* 2.0 x))) (exp (log (sqrt (exp (* 2.0 x))))) (- 1.0))
211.0ms	(log (sqrt (exp (* 2.0 x))))

simplify2.5s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
3	4873
2	958
1	337
0	174

prune730.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize76.0ms

Local error

Found 4 expressions with local error:

4.3b	(- (exp x) 1.0)
4.3b	(- (exp x) 1.0)
4.3b	(- (exp x) 1.0)
4.3b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
63×	`prod-diff`
61×	`*-un-lft-identity`
51×	`add-cube-cbrt`
45×	`sqrt-prod`
15×	`fma-neg`
12×	`add-log-exp`
7×	`difference-of-squares`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `log1p-expm1-u` `flip--`

Counts

4 → 146

Calls

4 calls:

16.0ms	(- (exp x) 1.0)
19.0ms	(- (exp x) 1.0)
18.0ms	(- (exp x) 1.0)
36.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))

series138.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (exp x) 1.0)
26.0ms	(- (exp x) 1.0)
25.0ms	(- (exp x) 1.0)
53.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))

simplify1.6s

Counts

158 → 158

Iterations

Iter	Nodes
done	5001
2	1033
1	349
0	156

prune903.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes76.0ms

Accuracy

80% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 3.6b

bsearch64.0ms

Steps

Iters	Range		Point
7	-4.7512835972832904e-05	-2.923395978885857e-06	-1.4064575598323607e-05

simplify7.0ms

Iterations

Iter	Nodes
done	24
1	24
0	22

end0.0ms

sample7.6s

Algorithm

intervals

Results

4.5s	6720×	body	10240	exit
1.2s	7398×	body	80	valid
997.0ms	12340×	body	80	nan
144.0ms	753×	body	160	valid