Details

sample32.0ms

Algorithm

intervals

Results

14.0ms	79×	body	1280	valid
6.0ms	53×	body	640	valid
3.0ms	182×	body	80	valid
2.0ms	23×	body	320	valid
1.0ms	14×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	13	3
2	15	3
3	15	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.9b

localize4.0ms

Local error

Found 1 expressions with local error:

4.9b	(- (exp x) 1.0)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

4.0ms

(- (exp x) 1.0)

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(- (exp x) 1.0)

simplify55.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	81	72
1	185	67
2	499	66
3	1399	66
4	5002	66

prune39.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)
2.8b	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log`
11×	`associate-l`
9×	`times-frac` `add-cbrt-cube`
6×	`associate-r`
5×	`pow1` `unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`associate-/r` `associate-/l` `add-log-exp`
2×	`flip3-+` `associate-r/` `-commutative` `cbrt-unprod` `flip-+` `associate-/l/` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `div-inv`

Counts

3 → 78

Calls

3 calls:

13.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms	(* x 1/6)
16.0ms	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)

series127.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
13.0ms	(* x 1/6)
49.0ms	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)

simplify62.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	363	568
1	1885	516
2	5001	516

prune162.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 1/6 (pow x 2))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

6.0ms

(* 1/6 (pow x 2))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* 1/6 (pow x 2))

simplify74.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	107	99
1	404	87
2	1867	87
3	5002	86

prune48.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

4.9b	(log (exp (- (exp x) 1.0)))
4.9b	(- (exp x) 1.0)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

11.0ms	(log (exp (- (exp x) 1.0)))
4.0ms	(- (exp x) 1.0)

series28.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(log (exp (- (exp x) 1.0)))
14.0ms	(- (exp x) 1.0)

simplify68.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	120	161
1	277	146
2	652	144
3	1859	144
4	5001	144

prune64.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes17.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 22.1b

bsearch32.0ms

Steps

Iters	Range		Point
9	-14674.600957416102	-0.00012459925560949148	-0.00019799929629834328

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	10
1	25	10

end0.0ms

sample854.0ms

Algorithm

intervals

Results

366.0ms	2193×	body	1280	valid
182.0ms	1680×	body	640	valid
103.0ms	5601×	body	80	valid
54.0ms	793×	body	320	valid
17.0ms	399×	body	160	valid