Details

sample39.0ms

Algorithm

intervals

Results

17.0ms	116×	body	1280	valid
6.0ms	70×	body	640	valid
3.0ms	390×	pre	80	true
2.0ms	38×	body	320	valid
2.0ms	142×	body	80	valid
1.0ms	24×	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: 58.2b

Counts

2 → 1

localize3.0ms

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)

simplify57.0ms

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

prune35.0ms

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: 0.0b

Counts

18 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.4b	(* x 1/6)

rewrite20.0ms

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×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-r/` `-commutative` `cbrt-unprod` `flip-+` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-prod-down` `pow-exp` `sum-log`

Counts

3 → 62

Calls

3 calls:

7.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
7.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms	(* x 1/6)

series112.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
63.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
17.0ms	(* x 1/6)

simplify52.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	310	356
1	1545	328
2	5001	327

prune98.0ms

Filtered

71 candidates to 47 candidates (66.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	70	4	74

Merged error: 0.0b

Counts

74 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.4b	(* x 1/6)
2.5b	(exp (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

7.0ms	(log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
8.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms	(* x 1/6)
12.0ms	(exp (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
68.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
13.0ms	(* x 1/6)
27.0ms	(exp (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	386	599
1	1699	543
2	5002	532

prune165.0ms

Filtered

92 candidates to 61 candidates (66.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	92	4	96

Merged error: 0.0b

Counts

96 → 4

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))))
0.0b	(pow (exp x) 3)
6.3b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

158×	`add-sqr-sqrt`
90×	`*-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×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `sum-log` `div-inv` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 192

Calls

4 calls:

3.0ms	(+ 1.0 (exp x))
27.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
3.0ms	(pow (exp x) 3)
11.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series170.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ 1.0 (exp x))
95.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
29.0ms	(pow (exp x) 3)
37.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify98.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	605	2945
1	2678	2881
2	5001	2803

prune338.0ms

Filtered

204 candidates to 108 candidates (52.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Merged error: 0.0b

Counts

208 → 4

regimes51.0ms

Accuracy

0% (0.3b 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

sample1.1s

Algorithm

intervals

Results

490.0ms	3489×	body	1280	valid
205.0ms	2481×	body	640	valid
96.0ms	12038×	pre	80	true
61.0ms	1211×	body	320	valid
47.0ms	4233×	body	80	valid
19.0ms	624×	body	160	valid