Details

sample358.0ms

Algorithm

intervals

Results

143.0ms	197×	body	10240	exit
25.0ms	404×	body	80	nan
19.0ms	241×	body	80	valid
4.0ms	22×	body	160	valid

simplify90.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.1b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
4.8b	(- (exp (* 2.0 x)) 1.0)
4.9b	(- (exp x) 1.0)

rewrite251.0ms

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-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-/r` `flip--` `associate-/l`
4×	`associate-/r/`
2×	`sub-neg` `rem-sqrt-square` `diff-log` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num`

Counts

4 → 123

Calls

4 calls:

63.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
82.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
28.0ms	(- (exp (* 2.0 x)) 1.0)
65.0ms	(- (exp x) 1.0)

series319.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
104.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
45.0ms	(- (exp (* 2.0 x)) 1.0)
41.0ms	(- (exp x) 1.0)

simplify89.0ms

Counts: 135 → 135

prune524.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (- (exp x) 1.0))
0.1b	(* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
4.9b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.9b	(- (exp x) 1.0)

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
14×	`sqrt-prod`
11×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
9×	`flip3--` `associate-r` `flip--`
8×	`frac-times` `add-cube-cbrt` `associate-/l/` `add-log-exp`
7×	`distribute-lft-out--`
6×	`pow1` `flip3-+` `flip-+`
5×	`times-frac` `associate-l` `associate-/r*`
4×	`sub-neg` `associate-r/` `associate-l/`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `diff-log` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

100.0ms	(/ (* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (- (exp x) 1.0))
135.0ms	(* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
30.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
11.0ms	(- (exp x) 1.0)

series513.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(/ (* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (- (exp x) 1.0))
145.0ms	(* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
85.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
16.0ms	(- (exp x) 1.0)

simplify71.0ms

Counts: 117 → 117

prune605.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
0.1b	(cbrt (pow (- (exp x) 1.0) 3))
4.9b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.9b	(- (exp x) 1.0)

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
16×	`cbrt-prod`
14×	`sqrt-prod`
11×	`difference-of-squares`
9×	`add-cube-cbrt` `associate-r`
8×	`add-log-exp`
7×	`distribute-lft-out--`
6×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
5×	`unpow-prod-down` `cube-prod` `associate-l`
4×	`frac-times` `sub-neg`
3×	`flip3-+` `flip-+`
2×	`cube-div` `distribute-rgt-in` `cbrt-div` `distribute-lft-in` `diff-log` `associate-r/` `associate-l/` `distribute-lft-out`
1×	`cube-mult` `pow1/3` `unpow3` `pow-prod-down` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr` `sqr-pow`

Counts

4 → 97

Calls

4 calls:

152.0ms	(* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
26.0ms	(cbrt (pow (- (exp x) 1.0) 3))
36.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
21.0ms	(- (exp x) 1.0)

series277.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
25.0ms	(cbrt (pow (- (exp x) 1.0) 3))
57.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
16.0ms	(- (exp x) 1.0)

simplify54.0ms

Counts: 109 → 109

prune645.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* (+ (pow (sqrt (exp (* 2.0 x))) 3) (pow (sqrt 1.0) 3)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (+ (* (sqrt (exp (* 2.0 x))) (sqrt (exp (* 2.0 x)))) (- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (exp (* 2.0 x))) (sqrt 1.0)))))
4.9b	(- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
4.9b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.9b	(- (exp x) 1.0)

rewrite334.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l/`
6×	`add-cube-cbrt` `flip3--` `sqrt-prod` `flip--`
5×	`difference-of-squares`
4×	`pow1` `frac-times` `flip3-+` `flip-+`
3×	`sub-neg` `times-frac` `diff-log` `associate-/r*` `distribute-lft-out--`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `associate-/r/`
1×	`distribute-rgt-out--` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 76

Calls

4 calls:

246.0ms	(/ (* (+ (pow (sqrt (exp (* 2.0 x))) 3) (pow (sqrt 1.0) 3)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (+ (* (sqrt (exp (* 2.0 x))) (sqrt (exp (* 2.0 x)))) (- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (exp (* 2.0 x))) (sqrt 1.0)))))
22.0ms	(- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
30.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
31.0ms	(- (exp x) 1.0)

series1.6s

Counts

4 → 12

Calls

4 calls:

1.4s	(/ (* (+ (pow (sqrt (exp (* 2.0 x))) 3) (pow (sqrt 1.0) 3)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (+ (* (sqrt (exp (* 2.0 x))) (sqrt (exp (* 2.0 x)))) (- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (exp (* 2.0 x))) (sqrt 1.0)))))
142.0ms	(- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
86.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
24.0ms	(- (exp x) 1.0)

simplify99.0ms

Counts: 88 → 88

prune702.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes47.0ms

Accuracy

75.8% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 3.6b

bsearch94.0ms

Steps

Iters	Range		Point
8	-9.748764200204437e-08	-1.2128668040416952e-11	-9.597789595615565e-08

simplify91.0ms

end0.0ms

sample7.7s

Algorithm

intervals

Results

4.2s	6628×	body	10240	exit
1.4s	12303×	body	80	nan
1.3s	7361×	body	80	valid
158.0ms	740×	body	160	valid