Details

sample40.0ms

Algorithm

intervals

Results

18.0ms	383×	body	80	valid
6.0ms	159×	body	80	nan

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	24	7
1	48	7
2	96	6
3	256	6
4	891	6
5	3963	6
6	5002	6

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 1.3b

Counts

2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (pow k m))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b	(+ 1.0 (* 10.0 k))
1.3b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
14×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-log-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`prod-exp`
4×	`pow1` `unpow-prod-down` `div-exp` `sum-log`
3×	`flip3-+` `times-frac` `associate-l` `associate-/r*` `flip-+` `unswap-sqr`
2×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-exp` `associate-/r/` `cbrt-unprod` `sqr-pow`
1×	`associate-+l+` `frac-2neg` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 74

Calls

4 calls:

5.0ms	(* a (pow k m))
5.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
3.0ms	(+ 1.0 (* 10.0 k))
12.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* a (pow k m))
23.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
32.0ms	(+ 1.0 (* 10.0 k))
115.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify58.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	457	599
1	2146	533
2	5001	526

prune225.0ms

Filtered

86 candidates to 63 candidates (73.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	84	4	88

Merged error: 1.3b

Counts

88 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
0.0b	(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
16.1b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
16.1b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
66×	`sqrt-prod`
55×	`add-sqr-sqrt`
53×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-exp-log` `sqrt-div`
16×	`associate-/r/`
13×	`add-cbrt-cube`
12×	`associate-/l*`
11×	`flip3-+` `flip-+`
9×	`div-exp`
8×	`div-inv`
6×	`pow1` `associate-/r*` `add-log-exp`
5×	`cbrt-undiv`
3×	`prod-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`+-commutative` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `sum-log` `cbrt-unprod` `associate-/l/`

Counts

4 → 152

Calls

4 calls:

3.0ms	(+ 1.0 (* 10.0 k))
16.0ms	(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
4.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
4.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series256.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ 1.0 (* 10.0 k))
123.0ms	(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
47.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
53.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify90.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	745	3067
1	3221	2757
2	5001	2745

prune450.0ms

Filtered

164 candidates to 102 candidates (62.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	163	1	164
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	164	4	168

Merged error: 1.3b

Counts

168 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

16.1b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
16.1b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
16.1b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
16.1b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
4×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

4.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
4.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
4.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
4.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series207.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
56.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
48.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
55.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify59.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	145	576
1	515	560
2	1983	544
3	5002	540

prune324.0ms

Filtered

72 candidates to 60 candidates (83.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	72	4	76

Merged error: 1.3b

Counts

76 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (* a (pow k m)))
0.3b	(cbrt (* a (pow k m)))
0.3b	(cbrt (* a (pow k m)))
1.3b	(/ (* (* (cbrt (* a (pow k m))) (cbrt (* a (pow k m)))) (cbrt (* a (pow k m)))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log`
9×	`add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `cbrt-prod` `times-frac` `pow1/3` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`associate-/r/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt (* a (pow k m)))
3.0ms	(cbrt (* a (pow k m)))
3.0ms	(cbrt (* a (pow k m)))
13.0ms	(/ (* (* (cbrt (* a (pow k m))) (cbrt (* a (pow k m)))) (cbrt (* a (pow k m)))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series487.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt (* a (pow k m)))
115.0ms	(cbrt (* a (pow k m)))
113.0ms	(cbrt (* a (pow k m)))
137.0ms	(/ (* (* (cbrt (* a (pow k m))) (cbrt (* a (pow k m)))) (cbrt (* a (pow k m)))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify49.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	423	837
1	1836	652
2	5002	599

prune220.0ms

Filtered

64 candidates to 53 candidates (82.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	64	4	68

Merged error: 1.3b

Counts

68 → 4

regimes87.0ms

Accuracy

0% (0.0b remaining)

Error of 1.9b against oracle of 1.9b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

558.0ms	11880×	body	80	valid
162.0ms	4240×	body	80	nan