Details

sample44.0ms

Algorithm

intervals

Results

15.0ms	97×	body	1280	valid
9.0ms	81×	body	640	valid
4.0ms	387×	pre	80	true
3.0ms	49×	body	320	valid
2.0ms	139×	body	80	valid
1.0ms	21×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	7	2
2	7	2

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 58.5b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

6.4b	(- (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)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify58.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (8.0ms)

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

prune39.0ms

Filtered

17 candidates to 12 candidates (70.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	3	18

Merged error: 0.1b

Counts

18 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

4.0ms	(+ (* x 1/6) 1/2)
8.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms	(* x 1/6)

series113.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (* x 1/6) 1/2)
67.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
14.0ms	(* x 1/6)

simplify47.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	268	293
1	1284	264
2	5001	264

prune97.0ms

Filtered

69 candidates to 45 candidates (65.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	69	3	72

Merged error: 0.1b

Counts

72 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
0.0b	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
0.0b	(pow (exp x) 3)
6.3b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

158×	`add-sqr-sqrt`
88×	`*-un-lft-identity`
80×	`difference-of-squares`
75×	`times-frac`
63×	`unpow-prod-down` `cube-prod`
41×	`sqr-pow`
38×	`add-cube-cbrt`
25×	`associate-/l*` `distribute-lft-out--`
8×	`add-log-exp`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `difference-cubes`
4×	`pow-pow`
3×	`pow-unpow` `exp-prod` `associate-/r*`
2×	`associate-+l+` `flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `sum-log` `div-inv` `rem-cube-cbrt`

Counts

4 → 193

Calls

4 calls:

10.0ms	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
25.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
3.0ms	(pow (exp x) 3)
12.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series189.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
93.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
23.0ms	(pow (exp x) 3)
37.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify102.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	596	3107
1	2606	3030
2	5002	3023

prune349.0ms

Filtered

205 candidates to 110 candidates (53.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	203	2	205
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	204	4	208

Merged error: 0.1b

Counts

208 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (sqrt (pow (exp x) 3)) (pow (sqrt 1.0) 3)) (/ (- (sqrt (pow (exp x) 3)) (pow (sqrt 1.0) 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))))
0.0b	(pow (exp x) 3)
0.0b	(pow (exp x) 3)
6.3b	(- (sqrt (pow (exp x) 3)) (pow (sqrt 1.0) 3))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

252×	`add-sqr-sqrt`
136×	`sqrt-prod`
120×	`difference-of-squares`
108×	`associate-r`
103×	`times-frac`
70×	`unpow-prod-down` `cube-prod`
61×	`*-un-lft-identity`
51×	`add-cube-cbrt`
46×	`sqr-pow`
11×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`pow1` `pow-pow`
6×	`pow-unpow` `exp-prod` `add-log-exp`
4×	`associate-l` `distribute-lft-out--`
3×	`flip3-+` `flip-+`
2×	`cube-mult` `frac-times` `pow-to-exp` `unpow3` `associate-*l/` `pow-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `flip--` `div-inv` `distribute-lft-out`

Counts

4 → 227

Calls

4 calls:

69.0ms	(* (+ (sqrt (pow (exp x) 3)) (pow (sqrt 1.0) 3)) (/ (- (sqrt (pow (exp x) 3)) (pow (sqrt 1.0) 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))))
3.0ms	(pow (exp x) 3)
4.0ms	(pow (exp x) 3)
21.0ms	(- (sqrt (pow (exp x) 3)) (pow (sqrt 1.0) 3))

series505.0ms

Counts

4 → 12

Calls

4 calls:

356.0ms	(* (+ (sqrt (pow (exp x) 3)) (pow (sqrt 1.0) 3)) (/ (- (sqrt (pow (exp x) 3)) (pow (sqrt 1.0) 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))))
28.0ms	(pow (exp x) 3)
23.0ms	(pow (exp x) 3)
98.0ms	(- (sqrt (pow (exp x) 3)) (pow (sqrt 1.0) 3))

simplify126.0ms

Algorithm

egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	692	3876
1	3879	3675
2	5001	3580

prune499.0ms

Filtered

239 candidates to 109 candidates (45.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	236	3	239
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	237	6	243

Merged error: 0.0b

Counts

243 → 6

regimes91.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample1.3s

Algorithm

intervals

Results

563.0ms	3435×	body	1280	valid
256.0ms	2495×	body	640	valid
125.0ms	11921×	pre	80	true
80.0ms	1247×	body	320	valid
63.0ms	4118×	body	80	valid
25.0ms	626×	body	160	valid

Details

sample44.0ms

simplify5.0ms

prune2.0ms

localize7.0ms

rewrite5.0ms

series15.0ms

simplify58.0ms

prune39.0ms

localize12.0ms

rewrite17.0ms

series113.0ms

simplify47.0ms

prune97.0ms

localize13.0ms

rewrite64.0ms

series189.0ms

simplify102.0ms

prune349.0ms

localize18.0ms

rewrite113.0ms

series505.0ms

simplify126.0ms

prune499.0ms

regimes91.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling