Details

sample44.0ms

Algorithm

intervals

Results

17.0ms	105×	body	1280	valid
8.0ms	83×	body	640	valid
4.0ms	377×	pre	80	true
3.0ms	43×	body	320	valid
2.0ms	127×	body	80	valid
1.0ms	19×	body	160	valid

simplify4.0ms

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

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: 59.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

7.1b	(- (exp x) 1.0)

rewrite4.0ms

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)

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(- (exp x) 1.0)

simplify52.0ms

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

prune31.0ms

Filtered

12 candidates to 17 candidates (-41.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	2	18

Merged error: 0.0b

Counts

18 → 2

localize6.0ms

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))
0.3b	(* x 1/6)

rewrite19.0ms

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)

series12.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
6.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
2.0ms	(* x 1/6)

simplify50.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	310	355
1	1545	327
2	5001	326

prune88.0ms

Filtered

47 candidates to 71 candidates (-51.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	69	4	73

Merged error: 0.0b

Counts

73 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
0.6b	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.6b	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.6b	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

20.0ms	(* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
7.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
7.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
7.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))

series34.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
8.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
8.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
8.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	321	1616
1	1083	1523
2	5002	1396

prune339.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.7b	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))
0.7b	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))
0.7b	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

62×	`cbrt-div`
19×	`flip3-+` `flip-+`
12×	`frac-times`
6×	`cbrt-prod` `associate-r/` `associate-l/`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

7.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
17.0ms	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))
16.0ms	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))
18.0ms	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))

series36.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
9.0ms	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))
9.0ms	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))
9.0ms	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))

simplify102.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	292	1913
1	784	1813
2	3048	1730
3	5002	1729

prune600.0ms

Filtered

62 candidates to 76 candidates (-22.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	76	4	80

Merged error: 0.0b

Counts

80 → 4

regimes110.0ms

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

542.0ms	3437×	body	1280	valid
251.0ms	2493×	body	640	valid
123.0ms	11879×	pre	80	true
79.0ms	1258×	body	320	valid
62.0ms	4081×	body	80	valid
26.0ms	610×	body	160	valid

Details

sample44.0ms

simplify4.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series2.0ms

simplify52.0ms

prune31.0ms

localize6.0ms

rewrite19.0ms

series12.0ms

simplify50.0ms

prune88.0ms

localize11.0ms

rewrite43.0ms

series34.0ms

simplify45.0ms

prune339.0ms

localize18.0ms

rewrite60.0ms

series36.0ms

simplify102.0ms

prune600.0ms

regimes110.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling