Details

sample30.0ms

Algorithm

intervals

Results

13.0ms	77×	body	1280	valid
5.0ms	47×	body	640	valid
3.0ms	179×	body	80	valid
2.0ms	25×	body	320	valid
0.0ms	8×	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: 38.2b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
2.7b	(- (exp x) 1.0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 52

Calls

2 calls:

6.0ms	(/ (- (exp x) 1.0) x)
4.0ms	(- (exp x) 1.0)

series57.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (- (exp x) 1.0) x)
14.0ms	(- (exp x) 1.0)

simplify74.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	222	329
1	625	311
2	2739	309
3	5001	309

prune113.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
0.2b	(* 1/6 (pow x 2))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log` `add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp` `sum-log`
2×	`pow1` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 40

Calls

2 calls:

7.0ms	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
5.0ms	(* 1/6 (pow x 2))

series46.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
26.0ms	(* 1/6 (pow x 2))

simplify34.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	201	222
1	825	201
2	5001	198

prune80.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(/ (/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))) x)
0.0b	(pow (exp x) 3)
2.6b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

543×	`times-frac`
518×	`add-sqr-sqrt`
338×	`*-un-lft-identity`
208×	`difference-of-squares`
206×	`add-cube-cbrt`
159×	`unpow-prod-down` `cube-prod`
105×	`sqr-pow`
81×	`associate-/l*`
65×	`distribute-lft-out--`
13×	`difference-cubes`
10×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`associate-/r/` `add-log-exp`
5×	`pow1` `flip3-+` `flip-+` `div-inv`
4×	`pow-pow`
3×	`cbrt-undiv` `pow-unpow` `exp-prod` `div-exp` `associate-/r*`
2×	`div-sub`
1×	`+-commutative` `cube-mult` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `diff-log` `unpow3` `pow-exp` `clear-num` `sum-log` `flip--` `associate-/l/` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 415

Calls

4 calls:

3.0ms	(+ 1.0 (exp x))
40.0ms	(/ (/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))) x)
3.0ms	(pow (exp x) 3)
12.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series202.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ 1.0 (exp x))
130.0ms	(/ (/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))) x)
23.0ms	(pow (exp x) 3)
42.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify99.0ms

Algorithm

egg-herbie

Counts

427 → 427

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1401	8845
1	5001	8752

prune971.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
0.0b	(+ 1.0 (exp x))
0.0b	(/ (/ (- (exp (* x 3)) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))) x)
2.6b	(- (exp (* x 3)) (pow 1.0 3))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
195×	`add-sqr-sqrt`
132×	`*-un-lft-identity`
104×	`add-cube-cbrt`
52×	`difference-of-squares`
39×	`difference-cubes` `associate-/l*`
23×	`add-log-exp`
13×	`unpow-prod-down` `exp-lft-cube` `exp-prod` `exp-to-pow` `cube-prod` `distribute-lft-out--` `sqr-pow`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
6×	`flip3-+` `flip-+`
5×	`div-inv`
4×	`pow1`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
2×	`+-commutative` `associate-+l+` `div-sub` `sum-log`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `diff-log` `clear-num` `flip--` `associate-/l/` `distribute-lft-out`

Counts

4 → 220

Calls

4 calls:

9.0ms	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
3.0ms	(+ 1.0 (exp x))
23.0ms	(/ (/ (- (exp (* x 3)) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))) x)
7.0ms	(- (exp (* x 3)) (pow 1.0 3))

series164.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
8.0ms	(+ 1.0 (exp x))
103.0ms	(/ (/ (- (exp (* x 3)) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))) x)
23.0ms	(- (exp (* x 3)) (pow 1.0 3))

simplify118.0ms

Algorithm

egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	955	4603
1	4104	4454
2	5003	4449

prune607.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes32.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.4b

bsearch35.0ms

Steps

Iters	Range		Point
7	-0.00013776134412608358	-2.653200281950173e-06	-0.00012034034236075878

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	29
1	49	29

end0.0ms

sample840.0ms

Algorithm

intervals

Results

371.0ms	2283×	body	1280	valid
168.0ms	1613×	body	640	valid
99.0ms	5488×	body	80	valid
54.0ms	849×	body	320	valid
19.0ms	403×	body	160	valid