Details

sample87.0ms

Algorithm

intervals

Results

53.0ms	105×	body	10240	exit
11.0ms	257×	body	80	valid
3.0ms	11×	body	640	valid
2.0ms	4×	body	1280	valid
1.0ms	6×	body	320	valid
0.0ms	2×	body	160	valid

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(log (+ 1.0 (exp x)))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
8×	`log-prod`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `log-div` `associate--l+`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `log-pow` `flip--`

Counts

3 → 45

Calls

3 calls:

6.0ms	(+ 1.0 (exp x))
6.0ms	(log (+ 1.0 (exp x)))
13.0ms	(- (log (+ 1.0 (exp x))) (* x y))

series159.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+ 1.0 (exp x))
71.0ms	(log (+ 1.0 (exp x)))
78.0ms	(- (log (+ 1.0 (exp x))) (* x y))

simplify44.0ms

Counts: 54 → 54

prune131.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (* (cbrt (- (log (+ 1.0 (exp x))) (* x y))) (cbrt (- (log (+ 1.0 (exp x))) (* x y)))) (cbrt (- (log (+ 1.0 (exp x))) (* x y))))
1.1b	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
1.1b	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
1.1b	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times`
23×	`pow1`
14×	`associate-*l/`
13×	`cbrt-prod`
12×	`pow1/3`
11×	`add-sqr-sqrt`
9×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-up`
8×	`associate-*r/`
6×	`pow-plus` `associate-r`
5×	`pow-prod-down` `add-cbrt-cube`
4×	`add-log-exp`
3×	`prod-exp` `pow-sqr` `cbrt-unprod`
2×	`pow2` `unswap-sqr`
1×	`associate-l` `pow3` `*-commutative`

Counts

4 → 100

Calls

4 calls:

76.0ms	(* (* (cbrt (- (log (+ 1.0 (exp x))) (* x y))) (cbrt (- (log (+ 1.0 (exp x))) (* x y)))) (cbrt (- (log (+ 1.0 (exp x))) (* x y))))
4.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
4.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
4.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (* (cbrt (- (log (+ 1.0 (exp x))) (* x y))) (cbrt (- (log (+ 1.0 (exp x))) (* x y)))) (cbrt (- (log (+ 1.0 (exp x))) (* x y))))
338.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
326.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
330.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))

simplify57.0ms

Counts: 112 → 112

prune336.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (+ (exp x) 1.0))
0.0b	(- (log (+ (exp x) 1.0)) (* x y))
0.7b	(pow (- (log (+ (exp x) 1.0)) (* x y)) 3)
16.3b	(cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
8×	`log-prod`
6×	`pow1` `add-exp-log` `unpow-prod-down` `cube-prod`
5×	`add-cbrt-cube` `add-log-exp`
4×	`cube-div` `log-div` `associate--l+`
3×	`pow-unpow` `flip3--` `flip--`
2×	`associate--l-` `cube-mult` `cbrt-div` `flip3-+` `unpow3` `flip-+` `distribute-lft-out` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `rem-log-exp` `pow-exp` `log-pow` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 81

Calls

4 calls:

7.0ms	(log (+ (exp x) 1.0))
13.0ms	(- (log (+ (exp x) 1.0)) (* x y))
10.0ms	(pow (- (log (+ (exp x) 1.0)) (* x y)) 3)
9.0ms	(cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))

series338.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(log (+ (exp x) 1.0))
64.0ms	(- (log (+ (exp x) 1.0)) (* x y))
141.0ms	(pow (- (log (+ (exp x) 1.0)) (* x y)) 3)
66.0ms	(cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))

simplify41.0ms

Counts: 93 → 93

prune218.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (- (log (+ (exp x) 1.0)) (* x y)) 3)
5.8b	(cbrt (* (sqrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)) (sqrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))))
6.0b	(sqrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))
6.0b	(sqrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-prod`
19×	`add-sqr-sqrt`
18×	`cube-div`
16×	`sqrt-div`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`unpow-prod-down` `cube-prod`
9×	`flip3--` `flip--`
8×	`rem-sqrt-square` `cbrt-div`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `sqr-pow`
4×	`frac-times` `add-log-exp`
3×	`cube-mult` `pow-unpow` `unpow3`
2×	`sqrt-pow1` `pow1/2` `associate-r/` `associate-l/`
1×	`cbrt-prod` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cube-cbrt`

Counts

4 → 96

Calls

4 calls:

10.0ms	(pow (- (log (+ (exp x) 1.0)) (* x y)) 3)
31.0ms	(cbrt (* (sqrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)) (sqrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))))
15.0ms	(sqrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))
16.0ms	(sqrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))

series953.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(pow (- (log (+ (exp x) 1.0)) (* x y)) 3)
68.0ms	(cbrt (* (sqrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)) (sqrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))))
370.0ms	(sqrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))
369.0ms	(sqrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))

simplify46.0ms

Counts: 108 → 108

prune315.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.6s	2525×	body	10240	exit
525.0ms	8378×	body	80	valid
107.0ms	151×	body	1280	valid
77.0ms	264×	body	640	valid
35.0ms	176×	body	320	valid
12.0ms	113×	body	160	valid