Details

sample59.0ms

Algorithm

intervals

Results

26.0ms	389×	body	80	valid
6.0ms	154×	body	80	nan

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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

prune18.0ms

Filtered

1 candidates to 1 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: 2.3b

Counts

2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
0.0b	(* a (pow k m))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
2.3b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite24.0ms

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:

3.0ms	(+ 1.0 (* 10.0 k))
5.0ms	(* a (pow k m))
5.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
9.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series276.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ 1.0 (* 10.0 k))
72.0ms	(* a (pow k m))
22.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
140.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify63.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	457	599
1	2146	533
2	5003	526

prune345.0ms

Filtered

86 candidates to 63 candidates (26.7%)

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: 2.3b

Counts

88 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.0b	(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
0.3b	(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
4.0b	(/ (+ 1.0 (* k (+ 10.0 k))) a)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

1073×	`times-frac`
500×	`add-sqr-sqrt` `*-un-lft-identity`
498×	`add-cube-cbrt`
198×	`unpow-prod-down`
105×	`associate-/r*`
70×	`add-exp-log`
66×	`sqr-pow`
51×	`div-exp`
43×	`div-inv`
22×	`add-cbrt-cube`
19×	`associate-/l*`
10×	`cbrt-undiv`
8×	`pow-to-exp` `pow-exp`
7×	`pow1` `rec-exp` `1-exp`
4×	`associate-r` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `associate-/l/`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

4 → 602

Calls

4 calls:

6.0ms	(* k (+ 10.0 k))
10.0ms	(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
25.0ms	(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
5.0ms	(/ (+ 1.0 (* k (+ 10.0 k))) a)

series355.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* k (+ 10.0 k))
123.0ms	(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
119.0ms	(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
56.0ms	(/ (+ 1.0 (* k (+ 10.0 k))) a)

simplify131.0ms

Algorithm

egg-herbie

Counts

614 → 614

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	2192	9172
1	5001	8738

prune7.7s

Filtered

614 candidates to 380 candidates (38.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	614	0	614
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	614	4	618

Merged error: 2.3b

Counts

618 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (pow k m))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
2.3b	(/ (cbrt (pow (* a (pow k m)) 3)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
20.8b	(cbrt (pow (* a (pow k m)) 3))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod`
33×	`add-sqr-sqrt` `times-frac`
28×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `associate-/l*`
9×	`unpow-prod-down` `add-log-exp`
7×	`associate-r` `add-cbrt-cube` `sqr-pow`
5×	`cube-mult` `unpow3` `cube-prod`
4×	`pow1`
3×	`associate-l` `prod-exp` `associate-/r*` `sum-log` `unswap-sqr`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `associate-+l+` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `div-inv`

Counts

4 → 116

Calls

4 calls:

5.0ms	(* a (pow k m))
5.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
9.0ms	(/ (cbrt (pow (* a (pow k m)) 3)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
2.0ms	(cbrt (pow (* a (pow k m)) 3))

series332.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* a (pow k m))
26.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
151.0ms	(/ (cbrt (pow (* a (pow k m)) 3)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
85.0ms	(cbrt (pow (* a (pow k m)) 3))

simplify62.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	473	1310
1	2153	1209
2	5001	1186

prune632.0ms

Filtered

128 candidates to 95 candidates (25.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	128	4	132

Merged error: 2.3b

Counts

132 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* 10.0 k))
0.1b	(* a (- 1.0 (* 10.0 k)))
0.2b	(* m (log k))
0.2b	(* a (* m (log k)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`log-prod`
17×	`distribute-rgt-in` `distribute-lft-in`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`pow1`
13×	`add-exp-log` `add-cbrt-cube`
9×	`associate-l`
8×	`associate-r`
6×	`add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`sub-neg` `*-commutative`
2×	`flip3--` `associate-*r/` `flip--` `unswap-sqr`
1×	`diff-log` `log-pow`

Counts

4 → 91

Calls

4 calls:

3.0ms	(- 1.0 (* 10.0 k))
5.0ms	(* a (- 1.0 (* 10.0 k)))
4.0ms	(* m (log k))
6.0ms	(* a (* m (log k)))

series206.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- 1.0 (* 10.0 k))
65.0ms	(* a (- 1.0 (* 10.0 k)))
46.0ms	(* m (log k))
49.0ms	(* a (* m (log k)))

simplify45.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	338	503
1	1503	434
2	5001	414

prune311.0ms

Filtered

103 candidates to 58 candidates (43.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	103	4	107

Merged error: 2.3b

Counts

107 → 4

regimes281.0ms

Accuracy

0% (0.0b remaining)

Error of 2.0b against oracle of 2.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample1.8s

Algorithm

intervals

Results

791.0ms	11926×	body	80	valid
178.0ms	4356×	body	80	nan

Details

sample59.0ms

simplify108.0ms

prune18.0ms

localize10.0ms

rewrite24.0ms

series276.0ms

simplify63.0ms

prune345.0ms

localize10.0ms

rewrite92.0ms

series355.0ms

simplify131.0ms

prune7.7s

localize13.0ms

rewrite27.0ms

series332.0ms

simplify62.0ms

prune632.0ms

localize11.0ms

rewrite21.0ms

series206.0ms

simplify45.0ms

prune311.0ms

regimes281.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

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